data.polynomial.algebra_map ⟷ Mathlib.Data.Polynomial.AlgebraMap

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

@@ -162,12 +162,12 @@ theorem ringHom_eval₂_cast_int_ringHom {R S : Type _} [Ring R] [Ring S] (p : 
 #align polynomial.ring_hom_eval₂_cast_int_ring_hom Polynomial.ringHom_eval₂_cast_int_ringHom
 -/
 
-#print Polynomial.eval₂_int_castRingHom_X /-
+#print Polynomial.eval₂_intCastRingHom_X /-
 @[simp]
-theorem eval₂_int_castRingHom_X {R : Type _} [Ring R] (p : ℤ[X]) (f : ℤ[X] →+* R) :
+theorem eval₂_intCastRingHom_X {R : Type _} [Ring R] (p : ℤ[X]) (f : ℤ[X] →+* R) :
     eval₂ (Int.castRingHom R) (f X) p = f p :=
   eval₂_algebraMap_X p f.toIntAlgHom
-#align polynomial.eval₂_int_cast_ring_hom_X Polynomial.eval₂_int_castRingHom_X
+#align polynomial.eval₂_int_cast_ring_hom_X Polynomial.eval₂_intCastRingHom_X
 -/
 
 end CommSemiring
@@ -282,11 +282,11 @@ theorem aeval_bit1 : aeval x (bit1 p) = bit1 (aeval x p) :=
 #align polynomial.aeval_bit1 Polynomial.aeval_bit1
 -/
 
-#print Polynomial.aeval_nat_cast /-
+#print Polynomial.aeval_natCast /-
 @[simp]
-theorem aeval_nat_cast (n : ℕ) : aeval x (n : R[X]) = n :=
+theorem aeval_natCast (n : ℕ) : aeval x (n : R[X]) = n :=
   map_natCast _ _
-#align polynomial.aeval_nat_cast Polynomial.aeval_nat_cast
+#align polynomial.aeval_nat_cast Polynomial.aeval_natCast
 -/
 
 #print Polynomial.aeval_mul /-

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

@@ -5,7 +5,7 @@ Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
 -/
 import Algebra.Algebra.Pi
 import RingTheory.Adjoin.Basic
-import Data.Polynomial.Eval
+import Algebra.Polynomial.Eval
 
 #align_import data.polynomial.algebra_map from "leanprover-community/mathlib"@"10bf4f825ad729c5653adc039dafa3622e7f93c9"
 

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

@@ -546,7 +546,7 @@ section CommRing
 
 variable [CommRing S] {f : R →+* S}
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:641:2: warning: expanding binder collection (j «expr ≠ » i) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:642:2: warning: expanding binder collection (j «expr ≠ » i) -/
 #print Polynomial.dvd_term_of_dvd_eval_of_dvd_terms /-
 theorem dvd_term_of_dvd_eval_of_dvd_terms {z p : S} {f : S[X]} (i : ℕ) (dvd_eval : p ∣ f.eval z)
     (dvd_terms : ∀ (j) (_ : j ≠ i), p ∣ f.coeff j * z ^ j) : p ∣ f.coeff i * z ^ i :=
@@ -564,7 +564,7 @@ theorem dvd_term_of_dvd_eval_of_dvd_terms {z p : S} {f : S[X]} (i : ℕ) (dvd_ev
 #align polynomial.dvd_term_of_dvd_eval_of_dvd_terms Polynomial.dvd_term_of_dvd_eval_of_dvd_terms
 -/
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:641:2: warning: expanding binder collection (j «expr ≠ » i) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:642:2: warning: expanding binder collection (j «expr ≠ » i) -/
 #print Polynomial.dvd_term_of_isRoot_of_dvd_terms /-
 theorem dvd_term_of_isRoot_of_dvd_terms {r p : S} {f : S[X]} (i : ℕ) (hr : f.IsRoot r)
     (h : ∀ (j) (_ : j ≠ i), p ∣ f.coeff j * r ^ j) : p ∣ f.coeff i * r ^ i :=
@@ -603,7 +603,7 @@ theorem eval_mul_X_sub_C {p : R[X]} (r : R) : (p * (X - C r)).eval r = 0 :=
     congr
     apply_congr
     skip
-    rw [coeff_mul_X_sub_C, sub_mul, mul_assoc, ← pow_succ]
+    rw [coeff_mul_X_sub_C, sub_mul, mul_assoc, ← pow_succ']
   simp [sum_range_sub', coeff_monomial]
 #align polynomial.eval_mul_X_sub_C Polynomial.eval_mul_X_sub_C
 -/

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

@@ -552,14 +552,14 @@ theorem dvd_term_of_dvd_eval_of_dvd_terms {z p : S} {f : S[X]} (i : ℕ) (dvd_ev
     (dvd_terms : ∀ (j) (_ : j ≠ i), p ∣ f.coeff j * z ^ j) : p ∣ f.coeff i * z ^ i :=
   by
   by_cases hi : i ∈ f.support
-  · rw [eval, eval₂, Sum] at dvd_eval 
-    rw [← Finset.insert_erase hi, Finset.sum_insert (Finset.not_mem_erase _ _)] at dvd_eval 
+  · rw [eval, eval₂, Sum] at dvd_eval
+    rw [← Finset.insert_erase hi, Finset.sum_insert (Finset.not_mem_erase _ _)] at dvd_eval
     refine' (dvd_add_left _).mp dvd_eval
     apply Finset.dvd_sum
     intro j hj
     exact dvd_terms j (Finset.ne_of_mem_erase hj)
   · convert dvd_zero p
-    rw [not_mem_support_iff] at hi 
+    rw [not_mem_support_iff] at hi
     simp [hi]
 #align polynomial.dvd_term_of_dvd_eval_of_dvd_terms Polynomial.dvd_term_of_dvd_eval_of_dvd_terms
 -/

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

@@ -121,12 +121,12 @@ variable {R}
 
 instance [Nontrivial A] : Nontrivial (Subalgebra R A[X]) :=
   ⟨⟨⊥, ⊤, by
-      rw [Ne.def, SetLike.ext_iff, not_forall]
+      rw [Ne.def, SetLike.ext_iff, Classical.not_forall]
       refine' ⟨X, _⟩
       simp only [Algebra.mem_bot, not_exists, Set.mem_range, iff_true_iff, Algebra.mem_top,
-        algebraMap_apply, not_forall]
+        algebraMap_apply, Classical.not_forall]
       intro x
-      rw [ext_iff, not_forall]
+      rw [ext_iff, Classical.not_forall]
       refine' ⟨1, _⟩
       simp [coeff_C]⟩⟩
 

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

@@ -3,9 +3,9 @@ Copyright (c) 2018 Chris Hughes. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
 -/
-import Mathbin.Algebra.Algebra.Pi
-import Mathbin.RingTheory.Adjoin.Basic
-import Mathbin.Data.Polynomial.Eval
+import Algebra.Algebra.Pi
+import RingTheory.Adjoin.Basic
+import Data.Polynomial.Eval
 
 #align_import data.polynomial.algebra_map from "leanprover-community/mathlib"@"10bf4f825ad729c5653adc039dafa3622e7f93c9"
 
@@ -546,7 +546,7 @@ section CommRing
 
 variable [CommRing S] {f : R →+* S}
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (j «expr ≠ » i) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:641:2: warning: expanding binder collection (j «expr ≠ » i) -/
 #print Polynomial.dvd_term_of_dvd_eval_of_dvd_terms /-
 theorem dvd_term_of_dvd_eval_of_dvd_terms {z p : S} {f : S[X]} (i : ℕ) (dvd_eval : p ∣ f.eval z)
     (dvd_terms : ∀ (j) (_ : j ≠ i), p ∣ f.coeff j * z ^ j) : p ∣ f.coeff i * z ^ i :=
@@ -564,7 +564,7 @@ theorem dvd_term_of_dvd_eval_of_dvd_terms {z p : S} {f : S[X]} (i : ℕ) (dvd_ev
 #align polynomial.dvd_term_of_dvd_eval_of_dvd_terms Polynomial.dvd_term_of_dvd_eval_of_dvd_terms
 -/
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (j «expr ≠ » i) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:641:2: warning: expanding binder collection (j «expr ≠ » i) -/
 #print Polynomial.dvd_term_of_isRoot_of_dvd_terms /-
 theorem dvd_term_of_isRoot_of_dvd_terms {r p : S} {f : S[X]} (i : ℕ) (hr : f.IsRoot r)
     (h : ∀ (j) (_ : j ≠ i), p ∣ f.coeff j * r ^ j) : p ∣ f.coeff i * r ^ i :=

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

@@ -2,16 +2,13 @@
 Copyright (c) 2018 Chris Hughes. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
-
-! This file was ported from Lean 3 source module data.polynomial.algebra_map
-! leanprover-community/mathlib commit 10bf4f825ad729c5653adc039dafa3622e7f93c9
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.Algebra.Pi
 import Mathbin.RingTheory.Adjoin.Basic
 import Mathbin.Data.Polynomial.Eval
 
+#align_import data.polynomial.algebra_map from "leanprover-community/mathlib"@"10bf4f825ad729c5653adc039dafa3622e7f93c9"
+
 /-!
 # Theory of univariate polynomials
 
@@ -549,7 +546,7 @@ section CommRing
 
 variable [CommRing S] {f : R →+* S}
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:638:2: warning: expanding binder collection (j «expr ≠ » i) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (j «expr ≠ » i) -/
 #print Polynomial.dvd_term_of_dvd_eval_of_dvd_terms /-
 theorem dvd_term_of_dvd_eval_of_dvd_terms {z p : S} {f : S[X]} (i : ℕ) (dvd_eval : p ∣ f.eval z)
     (dvd_terms : ∀ (j) (_ : j ≠ i), p ∣ f.coeff j * z ^ j) : p ∣ f.coeff i * z ^ i :=
@@ -567,7 +564,7 @@ theorem dvd_term_of_dvd_eval_of_dvd_terms {z p : S} {f : S[X]} (i : ℕ) (dvd_ev
 #align polynomial.dvd_term_of_dvd_eval_of_dvd_terms Polynomial.dvd_term_of_dvd_eval_of_dvd_terms
 -/
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:638:2: warning: expanding binder collection (j «expr ≠ » i) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (j «expr ≠ » i) -/
 #print Polynomial.dvd_term_of_isRoot_of_dvd_terms /-
 theorem dvd_term_of_isRoot_of_dvd_terms {r p : S} {f : S[X]} (i : ℕ) (hr : f.IsRoot r)
     (h : ∀ (j) (_ : j ≠ i), p ∣ f.coeff j * r ^ j) : p ∣ f.coeff i * r ^ i :=

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

@@ -63,19 +63,26 @@ instance algebraOfAlgebra : Algebra R A[X]
 #align polynomial.algebra_of_algebra Polynomial.algebraOfAlgebra
 -/
 
+#print Polynomial.algebraMap_apply /-
 theorem algebraMap_apply (r : R) : algebraMap R A[X] r = C (algebraMap R A r) :=
   rfl
 #align polynomial.algebra_map_apply Polynomial.algebraMap_apply
+-/
 
+#print Polynomial.toFinsupp_algebraMap /-
 @[simp]
 theorem toFinsupp_algebraMap (r : R) : (algebraMap R A[X] r).toFinsupp = algebraMap R _ r :=
   show toFinsupp (C (algebraMap _ _ r)) = _ by rw [to_finsupp_C]; rfl
 #align polynomial.to_finsupp_algebra_map Polynomial.toFinsupp_algebraMap
+-/
 
+#print Polynomial.ofFinsupp_algebraMap /-
 theorem ofFinsupp_algebraMap (r : R) : (⟨algebraMap R _ r⟩ : A[X]) = algebraMap R A[X] r :=
   toFinsupp_injective (toFinsupp_algebraMap _).symm
 #align polynomial.of_finsupp_algebra_map Polynomial.ofFinsupp_algebraMap
+-/
 
+#print Polynomial.C_eq_algebraMap /-
 /-- When we have `[comm_semiring R]`, the function `C` is the same as `algebra_map R R[X]`.
 
 (But note that `C` is defined when `R` is not necessarily commutative, in which case
@@ -84,9 +91,11 @@ theorem ofFinsupp_algebraMap (r : R) : (⟨algebraMap R _ r⟩ : A[X]) = algebra
 theorem C_eq_algebraMap (r : R) : C r = algebraMap R R[X] r :=
   rfl
 #align polynomial.C_eq_algebra_map Polynomial.C_eq_algebraMap
+-/
 
 variable {R}
 
+#print Polynomial.algHom_ext' /-
 /-- Extensionality lemma for algebra maps out of `A'[X]` over a smaller base ring than `A'`
 -/
 @[ext]
@@ -95,6 +104,7 @@ theorem algHom_ext' [Algebra R A'] [Algebra R B'] {f g : A'[X] →ₐ[R] B'}
     (h₂ : f X = g X) : f = g :=
   AlgHom.coe_ringHom_injective (Polynomial.ringHom_ext' (congr_arg AlgHom.toRingHom h₁) h₂)
 #align polynomial.alg_hom_ext' Polynomial.algHom_ext'
+-/
 
 variable (R)
 
@@ -123,6 +133,7 @@ instance [Nontrivial A] : Nontrivial (Subalgebra R A[X]) :=
       refine' ⟨1, _⟩
       simp [coeff_C]⟩⟩
 
+#print Polynomial.algHom_eval₂_algebraMap /-
 @[simp]
 theorem algHom_eval₂_algebraMap {R A B : Type _} [CommSemiring R] [Semiring A] [Semiring B]
     [Algebra R A] [Algebra R B] (p : R[X]) (f : A →ₐ[R] B) (a : A) :
@@ -131,7 +142,9 @@ theorem algHom_eval₂_algebraMap {R A B : Type _} [CommSemiring R] [Semiring A]
   dsimp [eval₂, Sum]
   simp only [f.map_sum, f.map_mul, f.map_pow, eq_intCast, map_intCast, AlgHom.commutes]
 #align polynomial.alg_hom_eval₂_algebra_map Polynomial.algHom_eval₂_algebraMap
+-/
 
+#print Polynomial.eval₂_algebraMap_X /-
 @[simp]
 theorem eval₂_algebraMap_X {R A : Type _} [CommSemiring R] [Semiring A] [Algebra R A] (p : R[X])
     (f : R[X] →ₐ[R] A) : eval₂ (algebraMap R A) (f X) p = f p :=
@@ -141,19 +154,24 @@ theorem eval₂_algebraMap_X {R A : Type _} [CommSemiring R] [Semiring A] [Algeb
   simp only [f.map_sum, f.map_mul, f.map_pow, eq_intCast, map_intCast]
   simp [Polynomial.C_eq_algebraMap]
 #align polynomial.eval₂_algebra_map_X Polynomial.eval₂_algebraMap_X
+-/
 
+#print Polynomial.ringHom_eval₂_cast_int_ringHom /-
 -- these used to be about `algebra_map ℤ R`, but now the simp-normal form is `int.cast_ring_hom R`.
 @[simp]
 theorem ringHom_eval₂_cast_int_ringHom {R S : Type _} [Ring R] [Ring S] (p : ℤ[X]) (f : R →+* S)
     (r : R) : f (eval₂ (Int.castRingHom R) r p) = eval₂ (Int.castRingHom S) (f r) p :=
   algHom_eval₂_algebraMap p f.toIntAlgHom r
 #align polynomial.ring_hom_eval₂_cast_int_ring_hom Polynomial.ringHom_eval₂_cast_int_ringHom
+-/
 
+#print Polynomial.eval₂_int_castRingHom_X /-
 @[simp]
 theorem eval₂_int_castRingHom_X {R : Type _} [Ring R] (p : ℤ[X]) (f : ℤ[X] →+* R) :
     eval₂ (Int.castRingHom R) (f X) p = f p :=
   eval₂_algebraMap_X p f.toIntAlgHom
 #align polynomial.eval₂_int_cast_ring_hom_X Polynomial.eval₂_int_castRingHom_X
+-/
 
 end CommSemiring
 
@@ -180,6 +198,7 @@ def aeval : R[X] →ₐ[R] A :=
 
 variable {R A}
 
+#print Polynomial.adjoin_X /-
 @[simp]
 theorem adjoin_X : Algebra.adjoin R ({X} : Set R[X]) = ⊤ :=
   by
@@ -188,78 +207,109 @@ theorem adjoin_X : Algebra.adjoin R ({X} : Set R[X]) = ⊤ :=
   rw [← sum_monomial_eq p]; simp only [← smul_X_eq_monomial, Sum]
   exact S.sum_mem fun n hn => S.smul_mem (S.pow_mem (Algebra.subset_adjoin rfl) _) _
 #align polynomial.adjoin_X Polynomial.adjoin_X
+-/
 
+#print Polynomial.algHom_ext /-
 @[ext]
 theorem algHom_ext {f g : R[X] →ₐ[R] A} (h : f X = g X) : f = g :=
   AlgHom.ext_of_adjoin_eq_top adjoin_X fun p hp => (Set.mem_singleton_iff.1 hp).symm ▸ h
 #align polynomial.alg_hom_ext Polynomial.algHom_ext
+-/
 
+#print Polynomial.aeval_def /-
 theorem aeval_def (p : R[X]) : aeval x p = eval₂ (algebraMap R A) x p :=
   rfl
 #align polynomial.aeval_def Polynomial.aeval_def
+-/
 
+#print Polynomial.aeval_zero /-
 @[simp]
 theorem aeval_zero : aeval x (0 : R[X]) = 0 :=
   AlgHom.map_zero (aeval x)
 #align polynomial.aeval_zero Polynomial.aeval_zero
+-/
 
+#print Polynomial.aeval_X /-
 @[simp]
 theorem aeval_X : aeval x (X : R[X]) = x :=
   eval₂_X _ x
 #align polynomial.aeval_X Polynomial.aeval_X
+-/
 
+#print Polynomial.aeval_C /-
 @[simp]
 theorem aeval_C (r : R) : aeval x (C r) = algebraMap R A r :=
   eval₂_C _ x
 #align polynomial.aeval_C Polynomial.aeval_C
+-/
 
+#print Polynomial.aeval_monomial /-
 @[simp]
 theorem aeval_monomial {n : ℕ} {r : R} : aeval x (monomial n r) = algebraMap _ _ r * x ^ n :=
   eval₂_monomial _ _
 #align polynomial.aeval_monomial Polynomial.aeval_monomial
+-/
 
+#print Polynomial.aeval_X_pow /-
 @[simp]
 theorem aeval_X_pow {n : ℕ} : aeval x ((X : R[X]) ^ n) = x ^ n :=
   eval₂_X_pow _ _
 #align polynomial.aeval_X_pow Polynomial.aeval_X_pow
+-/
 
+#print Polynomial.aeval_add /-
 @[simp]
 theorem aeval_add : aeval x (p + q) = aeval x p + aeval x q :=
   AlgHom.map_add _ _ _
 #align polynomial.aeval_add Polynomial.aeval_add
+-/
 
+#print Polynomial.aeval_one /-
 @[simp]
 theorem aeval_one : aeval x (1 : R[X]) = 1 :=
   AlgHom.map_one _
 #align polynomial.aeval_one Polynomial.aeval_one
+-/
 
+#print Polynomial.aeval_bit0 /-
 @[simp]
 theorem aeval_bit0 : aeval x (bit0 p) = bit0 (aeval x p) :=
   AlgHom.map_bit0 _ _
 #align polynomial.aeval_bit0 Polynomial.aeval_bit0
+-/
 
+#print Polynomial.aeval_bit1 /-
 @[simp]
 theorem aeval_bit1 : aeval x (bit1 p) = bit1 (aeval x p) :=
   AlgHom.map_bit1 _ _
 #align polynomial.aeval_bit1 Polynomial.aeval_bit1
+-/
 
+#print Polynomial.aeval_nat_cast /-
 @[simp]
 theorem aeval_nat_cast (n : ℕ) : aeval x (n : R[X]) = n :=
   map_natCast _ _
 #align polynomial.aeval_nat_cast Polynomial.aeval_nat_cast
+-/
 
+#print Polynomial.aeval_mul /-
 theorem aeval_mul : aeval x (p * q) = aeval x p * aeval x q :=
   AlgHom.map_mul _ _ _
 #align polynomial.aeval_mul Polynomial.aeval_mul
+-/
 
+#print Polynomial.aeval_comp /-
 theorem aeval_comp {A : Type _} [CommSemiring A] [Algebra R A] (x : A) :
     aeval x (p.comp q) = aeval (aeval x q) p :=
   eval₂_comp (algebraMap R A)
 #align polynomial.aeval_comp Polynomial.aeval_comp
+-/
 
+#print Polynomial.aeval_algHom /-
 theorem aeval_algHom (f : A →ₐ[R] B) (x : A) : aeval (f x) = f.comp (aeval x) :=
   algHom_ext <| by simp only [aeval_X, AlgHom.comp_apply]
 #align polynomial.aeval_alg_hom Polynomial.aeval_algHom
+-/
 
 #print Polynomial.aeval_X_left /-
 @[simp]
@@ -268,61 +318,84 @@ theorem aeval_X_left : aeval (X : R[X]) = AlgHom.id R R[X] :=
 #align polynomial.aeval_X_left Polynomial.aeval_X_left
 -/
 
+#print Polynomial.aeval_X_left_apply /-
 theorem aeval_X_left_apply (p : R[X]) : aeval X p = p :=
   AlgHom.congr_fun (@aeval_X_left R _) p
 #align polynomial.aeval_X_left_apply Polynomial.aeval_X_left_apply
+-/
 
+#print Polynomial.eval_unique /-
 theorem eval_unique (φ : R[X] →ₐ[R] A) (p) : φ p = eval₂ (algebraMap R A) (φ X) p := by
   rw [← aeval_def, aeval_alg_hom, aeval_X_left, AlgHom.comp_id]
 #align polynomial.eval_unique Polynomial.eval_unique
+-/
 
+#print Polynomial.aeval_algHom_apply /-
 theorem aeval_algHom_apply {F : Type _} [AlgHomClass F R A B] (f : F) (x : A) (p : R[X]) :
     aeval (f x) p = f (aeval x p) :=
   by
   refine' Polynomial.induction_on p (by simp) (fun p q hp hq => _) (by simp)
   rw [map_add, hp, hq, ← map_add, ← map_add]
 #align polynomial.aeval_alg_hom_apply Polynomial.aeval_algHom_apply
+-/
 
+#print Polynomial.aeval_algEquiv /-
 theorem aeval_algEquiv (f : A ≃ₐ[R] B) (x : A) : aeval (f x) = (f : A →ₐ[R] B).comp (aeval x) :=
   aeval_algHom (f : A →ₐ[R] B) x
 #align polynomial.aeval_alg_equiv Polynomial.aeval_algEquiv
+-/
 
+#print Polynomial.aeval_algebraMap_apply_eq_algebraMap_eval /-
 theorem aeval_algebraMap_apply_eq_algebraMap_eval (x : R) (p : R[X]) :
     aeval (algebraMap R A x) p = algebraMap R A (p.eval x) :=
   aeval_algHom_apply (Algebra.ofId R A) x p
 #align polynomial.aeval_algebra_map_apply_eq_algebra_map_eval Polynomial.aeval_algebraMap_apply_eq_algebraMap_eval
+-/
 
+#print Polynomial.coe_aeval_eq_eval /-
 @[simp]
 theorem coe_aeval_eq_eval (r : R) : (aeval r : R[X] → R) = eval r :=
   rfl
 #align polynomial.coe_aeval_eq_eval Polynomial.coe_aeval_eq_eval
+-/
 
+#print Polynomial.coe_aeval_eq_evalRingHom /-
 @[simp]
 theorem coe_aeval_eq_evalRingHom (x : R) :
     ((aeval x : R[X] →ₐ[R] R) : R[X] →+* R) = evalRingHom x :=
   rfl
 #align polynomial.coe_aeval_eq_eval_ring_hom Polynomial.coe_aeval_eq_evalRingHom
+-/
 
+#print Polynomial.aeval_fn_apply /-
 @[simp]
 theorem aeval_fn_apply {X : Type _} (g : R[X]) (f : X → R) (x : X) :
     ((aeval f) g) x = aeval (f x) g :=
   (aeval_algHom_apply (Pi.evalAlgHom R (fun _ => R) x) f g).symm
 #align polynomial.aeval_fn_apply Polynomial.aeval_fn_apply
+-/
 
+#print Polynomial.aeval_subalgebra_coe /-
 @[norm_cast]
 theorem aeval_subalgebra_coe (g : R[X]) {A : Type _} [Semiring A] [Algebra R A] (s : Subalgebra R A)
     (f : s) : (aeval f g : A) = aeval (f : A) g :=
   (aeval_algHom_apply s.val f g).symm
 #align polynomial.aeval_subalgebra_coe Polynomial.aeval_subalgebra_coe
+-/
 
+#print Polynomial.coeff_zero_eq_aeval_zero /-
 theorem coeff_zero_eq_aeval_zero (p : R[X]) : p.coeff 0 = aeval 0 p := by
   simp [coeff_zero_eq_eval_zero]
 #align polynomial.coeff_zero_eq_aeval_zero Polynomial.coeff_zero_eq_aeval_zero
+-/
 
+#print Polynomial.coeff_zero_eq_aeval_zero' /-
 theorem coeff_zero_eq_aeval_zero' (p : R[X]) : algebraMap R A (p.coeff 0) = aeval (0 : A) p := by
   simp [aeval_def]
 #align polynomial.coeff_zero_eq_aeval_zero' Polynomial.coeff_zero_eq_aeval_zero'
+-/
 
+#print Polynomial.map_aeval_eq_aeval_map /-
 theorem map_aeval_eq_aeval_map {S T U : Type _} [CommSemiring S] [CommSemiring T] [Semiring U]
     [Algebra R S] [Algebra T U] {φ : R →+* T} {ψ : S →+* U}
     (h : (algebraMap T U).comp φ = ψ.comp (algebraMap R S)) (p : R[X]) (a : S) :
@@ -331,13 +404,16 @@ theorem map_aeval_eq_aeval_map {S T U : Type _} [CommSemiring S] [CommSemiring T
   conv_rhs => rw [aeval_def, ← eval_map]
   rw [map_map, h, ← map_map, eval_map, eval₂_at_apply, aeval_def, eval_map]
 #align polynomial.map_aeval_eq_aeval_map Polynomial.map_aeval_eq_aeval_map
+-/
 
+#print Polynomial.aeval_eq_zero_of_dvd_aeval_eq_zero /-
 theorem aeval_eq_zero_of_dvd_aeval_eq_zero [CommSemiring S] [CommSemiring T] [Algebra S T]
     {p q : S[X]} (h₁ : p ∣ q) {a : T} (h₂ : aeval a p = 0) : aeval a q = 0 :=
   by
   rw [aeval_def, ← eval_map] at h₂ ⊢
   exact eval_eq_zero_of_dvd_of_eval_eq_zero (Polynomial.map_dvd (algebraMap S T) h₁) h₂
 #align polynomial.aeval_eq_zero_of_dvd_aeval_eq_zero Polynomial.aeval_eq_zero_of_dvd_aeval_eq_zero
+-/
 
 variable (R)
 
@@ -354,28 +430,36 @@ section Semiring
 
 variable [Semiring S] {f : R →+* S}
 
+#print Polynomial.aeval_eq_sum_range /-
 theorem aeval_eq_sum_range [Algebra R S] {p : R[X]} (x : S) :
     aeval x p = ∑ i in Finset.range (p.natDegree + 1), p.coeff i • x ^ i := by
   simp_rw [Algebra.smul_def]; exact eval₂_eq_sum_range (algebraMap R S) x
 #align polynomial.aeval_eq_sum_range Polynomial.aeval_eq_sum_range
+-/
 
+#print Polynomial.aeval_eq_sum_range' /-
 theorem aeval_eq_sum_range' [Algebra R S] {p : R[X]} {n : ℕ} (hn : p.natDegree < n) (x : S) :
     aeval x p = ∑ i in Finset.range n, p.coeff i • x ^ i := by simp_rw [Algebra.smul_def];
   exact eval₂_eq_sum_range' (algebraMap R S) hn x
 #align polynomial.aeval_eq_sum_range' Polynomial.aeval_eq_sum_range'
+-/
 
+#print Polynomial.isRoot_of_eval₂_map_eq_zero /-
 theorem isRoot_of_eval₂_map_eq_zero (hf : Function.Injective f) {r : R} :
     eval₂ f (f r) p = 0 → p.IsRoot r := by
   intro h
   apply hf
   rw [← eval₂_hom, h, f.map_zero]
 #align polynomial.is_root_of_eval₂_map_eq_zero Polynomial.isRoot_of_eval₂_map_eq_zero
+-/
 
+#print Polynomial.isRoot_of_aeval_algebraMap_eq_zero /-
 theorem isRoot_of_aeval_algebraMap_eq_zero [Algebra R S] {p : R[X]}
     (inj : Function.Injective (algebraMap R S)) {r : R} (hr : aeval (algebraMap R S r) p = 0) :
     p.IsRoot r :=
   isRoot_of_eval₂_map_eq_zero inj hr
 #align polynomial.is_root_of_aeval_algebra_map_eq_zero Polynomial.isRoot_of_aeval_algebraMap_eq_zero
+-/
 
 end Semiring
 
@@ -395,39 +479,53 @@ def aevalTower (f : R →ₐ[S] A') (x : A') : R[X] →ₐ[S] A' :=
 
 variable (g : R →ₐ[S] A') (y : A')
 
+#print Polynomial.aevalTower_X /-
 @[simp]
 theorem aevalTower_X : aevalTower g y X = y :=
   eval₂_X _ _
 #align polynomial.aeval_tower_X Polynomial.aevalTower_X
+-/
 
+#print Polynomial.aevalTower_C /-
 @[simp]
 theorem aevalTower_C (x : R) : aevalTower g y (C x) = g x :=
   eval₂_C _ _
 #align polynomial.aeval_tower_C Polynomial.aevalTower_C
+-/
 
+#print Polynomial.aevalTower_comp_C /-
 @[simp]
 theorem aevalTower_comp_C : (aevalTower g y : R[X] →+* A').comp C = g :=
   RingHom.ext <| aevalTower_C _ _
 #align polynomial.aeval_tower_comp_C Polynomial.aevalTower_comp_C
+-/
 
+#print Polynomial.aevalTower_algebraMap /-
 @[simp]
 theorem aevalTower_algebraMap (x : R) : aevalTower g y (algebraMap R R[X] x) = g x :=
   eval₂_C _ _
 #align polynomial.aeval_tower_algebra_map Polynomial.aevalTower_algebraMap
+-/
 
+#print Polynomial.aevalTower_comp_algebraMap /-
 @[simp]
 theorem aevalTower_comp_algebraMap : (aevalTower g y : R[X] →+* A').comp (algebraMap R R[X]) = g :=
   aevalTower_comp_C _ _
 #align polynomial.aeval_tower_comp_algebra_map Polynomial.aevalTower_comp_algebraMap
+-/
 
+#print Polynomial.aevalTower_toAlgHom /-
 theorem aevalTower_toAlgHom (x : R) : aevalTower g y (IsScalarTower.toAlgHom S R R[X] x) = g x :=
   aevalTower_algebraMap _ _ _
 #align polynomial.aeval_tower_to_alg_hom Polynomial.aevalTower_toAlgHom
+-/
 
+#print Polynomial.aevalTower_comp_toAlgHom /-
 @[simp]
 theorem aevalTower_comp_toAlgHom : (aevalTower g y).comp (IsScalarTower.toAlgHom S R R[X]) = g :=
   AlgHom.coe_ringHom_injective <| aevalTower_comp_algebraMap _ _
 #align polynomial.aeval_tower_comp_to_alg_hom Polynomial.aevalTower_comp_toAlgHom
+-/
 
 #print Polynomial.aevalTower_id /-
 @[simp]
@@ -436,10 +534,12 @@ theorem aevalTower_id : aevalTower (AlgHom.id S S) = aeval := by ext;
 #align polynomial.aeval_tower_id Polynomial.aevalTower_id
 -/
 
+#print Polynomial.aevalTower_ofId /-
 @[simp]
 theorem aevalTower_ofId : aevalTower (Algebra.ofId S A') = aeval := by ext;
   simp only [aeval_X, aeval_tower_X]
 #align polynomial.aeval_tower_of_id Polynomial.aevalTower_ofId
+-/
 
 end AevalTower
 
@@ -450,6 +550,7 @@ section CommRing
 variable [CommRing S] {f : R →+* S}
 
 /- ./././Mathport/Syntax/Translate/Basic.lean:638:2: warning: expanding binder collection (j «expr ≠ » i) -/
+#print Polynomial.dvd_term_of_dvd_eval_of_dvd_terms /-
 theorem dvd_term_of_dvd_eval_of_dvd_terms {z p : S} {f : S[X]} (i : ℕ) (dvd_eval : p ∣ f.eval z)
     (dvd_terms : ∀ (j) (_ : j ≠ i), p ∣ f.coeff j * z ^ j) : p ∣ f.coeff i * z ^ i :=
   by
@@ -464,12 +565,15 @@ theorem dvd_term_of_dvd_eval_of_dvd_terms {z p : S} {f : S[X]} (i : ℕ) (dvd_ev
     rw [not_mem_support_iff] at hi 
     simp [hi]
 #align polynomial.dvd_term_of_dvd_eval_of_dvd_terms Polynomial.dvd_term_of_dvd_eval_of_dvd_terms
+-/
 
 /- ./././Mathport/Syntax/Translate/Basic.lean:638:2: warning: expanding binder collection (j «expr ≠ » i) -/
+#print Polynomial.dvd_term_of_isRoot_of_dvd_terms /-
 theorem dvd_term_of_isRoot_of_dvd_terms {r p : S} {f : S[X]} (i : ℕ) (hr : f.IsRoot r)
     (h : ∀ (j) (_ : j ≠ i), p ∣ f.coeff j * r ^ j) : p ∣ f.coeff i * r ^ i :=
   dvd_term_of_dvd_eval_of_dvd_terms i (Eq.symm hr ▸ dvd_zero p) h
 #align polynomial.dvd_term_of_is_root_of_dvd_terms Polynomial.dvd_term_of_isRoot_of_dvd_terms
+-/
 
 end CommRing
 
@@ -479,6 +583,7 @@ section Ring
 
 variable [Ring R]
 
+#print Polynomial.eval_mul_X_sub_C /-
 /-- The evaluation map is not generally multiplicative when the coefficient ring is noncommutative,
 but nevertheless any polynomial of the form `p * (X - monomial 0 r)` is sent to zero
 when evaluated at `r`.
@@ -504,19 +609,24 @@ theorem eval_mul_X_sub_C {p : R[X]} (r : R) : (p * (X - C r)).eval r = 0 :=
     rw [coeff_mul_X_sub_C, sub_mul, mul_assoc, ← pow_succ]
   simp [sum_range_sub', coeff_monomial]
 #align polynomial.eval_mul_X_sub_C Polynomial.eval_mul_X_sub_C
+-/
 
+#print Polynomial.not_isUnit_X_sub_C /-
 theorem not_isUnit_X_sub_C [Nontrivial R] (r : R) : ¬IsUnit (X - C r) :=
   fun ⟨⟨_, g, hfg, hgf⟩, rfl⟩ => zero_ne_one' R <| by erw [← eval_mul_X_sub_C, hgf, eval_one]
 #align polynomial.not_is_unit_X_sub_C Polynomial.not_isUnit_X_sub_C
+-/
 
 end Ring
 
+#print Polynomial.aeval_endomorphism /-
 theorem aeval_endomorphism {M : Type _} [CommRing R] [AddCommGroup M] [Module R M] (f : M →ₗ[R] M)
     (v : M) (p : R[X]) : aeval f p v = p.Sum fun n b => b • (f ^ n) v :=
   by
   rw [aeval_def, eval₂]
   exact (LinearMap.applyₗ v).map_sum
 #align polynomial.aeval_endomorphism Polynomial.aeval_endomorphism
+-/
 
 end Polynomial
 

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

@@ -493,7 +493,6 @@ theorem eval_mul_X_sub_C {p : R[X]} (r : R) : (p * (X - C r)).eval r = 0 :=
       (p * (X - C r)).natDegree ≤ p.nat_degree + (X - C r).natDegree := nat_degree_mul_le
       _ ≤ p.nat_degree + 1 := (add_le_add_left (nat_degree_X_sub_C_le _) _)
       _ < p.nat_degree + 2 := lt_add_one _
-      
   rw [sum_over_range' _ _ (p.nat_degree + 2) bound]
   swap
   · simp

mathlib commit https://github.com/leanprover-community/mathlib/commit/31c24aa72e7b3e5ed97a8412470e904f82b81004

@@ -449,7 +449,7 @@ section CommRing
 
 variable [CommRing S] {f : R →+* S}
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (j «expr ≠ » i) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:638:2: warning: expanding binder collection (j «expr ≠ » i) -/
 theorem dvd_term_of_dvd_eval_of_dvd_terms {z p : S} {f : S[X]} (i : ℕ) (dvd_eval : p ∣ f.eval z)
     (dvd_terms : ∀ (j) (_ : j ≠ i), p ∣ f.coeff j * z ^ j) : p ∣ f.coeff i * z ^ i :=
   by
@@ -465,7 +465,7 @@ theorem dvd_term_of_dvd_eval_of_dvd_terms {z p : S} {f : S[X]} (i : ℕ) (dvd_ev
     simp [hi]
 #align polynomial.dvd_term_of_dvd_eval_of_dvd_terms Polynomial.dvd_term_of_dvd_eval_of_dvd_terms
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (j «expr ≠ » i) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:638:2: warning: expanding binder collection (j «expr ≠ » i) -/
 theorem dvd_term_of_isRoot_of_dvd_terms {r p : S} {f : S[X]} (i : ℕ) (hr : f.IsRoot r)
     (h : ∀ (j) (_ : j ≠ i), p ∣ f.coeff j * r ^ j) : p ∣ f.coeff i * r ^ i :=
   dvd_term_of_dvd_eval_of_dvd_terms i (Eq.symm hr ▸ dvd_zero p) h

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

@@ -335,7 +335,7 @@ theorem map_aeval_eq_aeval_map {S T U : Type _} [CommSemiring S] [CommSemiring T
 theorem aeval_eq_zero_of_dvd_aeval_eq_zero [CommSemiring S] [CommSemiring T] [Algebra S T]
     {p q : S[X]} (h₁ : p ∣ q) {a : T} (h₂ : aeval a p = 0) : aeval a q = 0 :=
   by
-  rw [aeval_def, ← eval_map] at h₂⊢
+  rw [aeval_def, ← eval_map] at h₂ ⊢
   exact eval_eq_zero_of_dvd_of_eval_eq_zero (Polynomial.map_dvd (algebraMap S T) h₁) h₂
 #align polynomial.aeval_eq_zero_of_dvd_aeval_eq_zero Polynomial.aeval_eq_zero_of_dvd_aeval_eq_zero
 
@@ -454,14 +454,14 @@ theorem dvd_term_of_dvd_eval_of_dvd_terms {z p : S} {f : S[X]} (i : ℕ) (dvd_ev
     (dvd_terms : ∀ (j) (_ : j ≠ i), p ∣ f.coeff j * z ^ j) : p ∣ f.coeff i * z ^ i :=
   by
   by_cases hi : i ∈ f.support
-  · rw [eval, eval₂, Sum] at dvd_eval
-    rw [← Finset.insert_erase hi, Finset.sum_insert (Finset.not_mem_erase _ _)] at dvd_eval
+  · rw [eval, eval₂, Sum] at dvd_eval 
+    rw [← Finset.insert_erase hi, Finset.sum_insert (Finset.not_mem_erase _ _)] at dvd_eval 
     refine' (dvd_add_left _).mp dvd_eval
     apply Finset.dvd_sum
     intro j hj
     exact dvd_terms j (Finset.ne_of_mem_erase hj)
   · convert dvd_zero p
-    rw [not_mem_support_iff] at hi
+    rw [not_mem_support_iff] at hi 
     simp [hi]
 #align polynomial.dvd_term_of_dvd_eval_of_dvd_terms Polynomial.dvd_term_of_dvd_eval_of_dvd_terms
 

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

@@ -189,94 +189,68 @@ theorem adjoin_X : Algebra.adjoin R ({X} : Set R[X]) = ⊤ :=
   exact S.sum_mem fun n hn => S.smul_mem (S.pow_mem (Algebra.subset_adjoin rfl) _) _
 #align polynomial.adjoin_X Polynomial.adjoin_X
 
-#print Polynomial.algHom_ext /-
 @[ext]
 theorem algHom_ext {f g : R[X] →ₐ[R] A} (h : f X = g X) : f = g :=
   AlgHom.ext_of_adjoin_eq_top adjoin_X fun p hp => (Set.mem_singleton_iff.1 hp).symm ▸ h
 #align polynomial.alg_hom_ext Polynomial.algHom_ext
--/
 
-#print Polynomial.aeval_def /-
 theorem aeval_def (p : R[X]) : aeval x p = eval₂ (algebraMap R A) x p :=
   rfl
 #align polynomial.aeval_def Polynomial.aeval_def
--/
 
-#print Polynomial.aeval_zero /-
 @[simp]
 theorem aeval_zero : aeval x (0 : R[X]) = 0 :=
   AlgHom.map_zero (aeval x)
 #align polynomial.aeval_zero Polynomial.aeval_zero
--/
 
-#print Polynomial.aeval_X /-
 @[simp]
 theorem aeval_X : aeval x (X : R[X]) = x :=
   eval₂_X _ x
 #align polynomial.aeval_X Polynomial.aeval_X
--/
 
-#print Polynomial.aeval_C /-
 @[simp]
 theorem aeval_C (r : R) : aeval x (C r) = algebraMap R A r :=
   eval₂_C _ x
 #align polynomial.aeval_C Polynomial.aeval_C
--/
 
-#print Polynomial.aeval_monomial /-
 @[simp]
 theorem aeval_monomial {n : ℕ} {r : R} : aeval x (monomial n r) = algebraMap _ _ r * x ^ n :=
   eval₂_monomial _ _
 #align polynomial.aeval_monomial Polynomial.aeval_monomial
--/
 
-#print Polynomial.aeval_X_pow /-
 @[simp]
 theorem aeval_X_pow {n : ℕ} : aeval x ((X : R[X]) ^ n) = x ^ n :=
   eval₂_X_pow _ _
 #align polynomial.aeval_X_pow Polynomial.aeval_X_pow
--/
 
-#print Polynomial.aeval_add /-
 @[simp]
 theorem aeval_add : aeval x (p + q) = aeval x p + aeval x q :=
   AlgHom.map_add _ _ _
 #align polynomial.aeval_add Polynomial.aeval_add
--/
 
-#print Polynomial.aeval_one /-
 @[simp]
 theorem aeval_one : aeval x (1 : R[X]) = 1 :=
   AlgHom.map_one _
 #align polynomial.aeval_one Polynomial.aeval_one
--/
 
-#print Polynomial.aeval_bit0 /-
 @[simp]
 theorem aeval_bit0 : aeval x (bit0 p) = bit0 (aeval x p) :=
   AlgHom.map_bit0 _ _
 #align polynomial.aeval_bit0 Polynomial.aeval_bit0
--/
 
-#print Polynomial.aeval_bit1 /-
 @[simp]
 theorem aeval_bit1 : aeval x (bit1 p) = bit1 (aeval x p) :=
   AlgHom.map_bit1 _ _
 #align polynomial.aeval_bit1 Polynomial.aeval_bit1
--/
 
-#print Polynomial.aeval_nat_cast /-
 @[simp]
 theorem aeval_nat_cast (n : ℕ) : aeval x (n : R[X]) = n :=
   map_natCast _ _
 #align polynomial.aeval_nat_cast Polynomial.aeval_nat_cast
--/
 
-#print Polynomial.aeval_mul /-
 theorem aeval_mul : aeval x (p * q) = aeval x p * aeval x q :=
   AlgHom.map_mul _ _ _
 #align polynomial.aeval_mul Polynomial.aeval_mul
--/
 
 theorem aeval_comp {A : Type _} [CommSemiring A] [Algebra R A] (x : A) :
     aeval x (p.comp q) = aeval (aeval x q) p :=
@@ -294,17 +268,13 @@ theorem aeval_X_left : aeval (X : R[X]) = AlgHom.id R R[X] :=
 #align polynomial.aeval_X_left Polynomial.aeval_X_left
 -/
 
-#print Polynomial.aeval_X_left_apply /-
 theorem aeval_X_left_apply (p : R[X]) : aeval X p = p :=
   AlgHom.congr_fun (@aeval_X_left R _) p
 #align polynomial.aeval_X_left_apply Polynomial.aeval_X_left_apply
--/
 
-#print Polynomial.eval_unique /-
 theorem eval_unique (φ : R[X] →ₐ[R] A) (p) : φ p = eval₂ (algebraMap R A) (φ X) p := by
   rw [← aeval_def, aeval_alg_hom, aeval_X_left, AlgHom.comp_id]
 #align polynomial.eval_unique Polynomial.eval_unique
--/
 
 theorem aeval_algHom_apply {F : Type _} [AlgHomClass F R A B] (f : F) (x : A) (p : R[X]) :
     aeval (f x) p = f (aeval x p) :=
@@ -317,19 +287,15 @@ theorem aeval_algEquiv (f : A ≃ₐ[R] B) (x : A) : aeval (f x) = (f : A →ₐ
   aeval_algHom (f : A →ₐ[R] B) x
 #align polynomial.aeval_alg_equiv Polynomial.aeval_algEquiv
 
-#print Polynomial.aeval_algebraMap_apply_eq_algebraMap_eval /-
 theorem aeval_algebraMap_apply_eq_algebraMap_eval (x : R) (p : R[X]) :
     aeval (algebraMap R A x) p = algebraMap R A (p.eval x) :=
   aeval_algHom_apply (Algebra.ofId R A) x p
 #align polynomial.aeval_algebra_map_apply_eq_algebra_map_eval Polynomial.aeval_algebraMap_apply_eq_algebraMap_eval
--/
 
-#print Polynomial.coe_aeval_eq_eval /-
 @[simp]
 theorem coe_aeval_eq_eval (r : R) : (aeval r : R[X] → R) = eval r :=
   rfl
 #align polynomial.coe_aeval_eq_eval Polynomial.coe_aeval_eq_eval
--/
 
 @[simp]
 theorem coe_aeval_eq_evalRingHom (x : R) :
@@ -349,11 +315,9 @@ theorem aeval_subalgebra_coe (g : R[X]) {A : Type _} [Semiring A] [Algebra R A]
   (aeval_algHom_apply s.val f g).symm
 #align polynomial.aeval_subalgebra_coe Polynomial.aeval_subalgebra_coe
 
-#print Polynomial.coeff_zero_eq_aeval_zero /-
 theorem coeff_zero_eq_aeval_zero (p : R[X]) : p.coeff 0 = aeval 0 p := by
   simp [coeff_zero_eq_eval_zero]
 #align polynomial.coeff_zero_eq_aeval_zero Polynomial.coeff_zero_eq_aeval_zero
--/
 
 theorem coeff_zero_eq_aeval_zero' (p : R[X]) : algebraMap R A (p.coeff 0) = aeval (0 : A) p := by
   simp [aeval_def]
@@ -368,14 +332,12 @@ theorem map_aeval_eq_aeval_map {S T U : Type _} [CommSemiring S] [CommSemiring T
   rw [map_map, h, ← map_map, eval_map, eval₂_at_apply, aeval_def, eval_map]
 #align polynomial.map_aeval_eq_aeval_map Polynomial.map_aeval_eq_aeval_map
 
-#print Polynomial.aeval_eq_zero_of_dvd_aeval_eq_zero /-
 theorem aeval_eq_zero_of_dvd_aeval_eq_zero [CommSemiring S] [CommSemiring T] [Algebra S T]
     {p q : S[X]} (h₁ : p ∣ q) {a : T} (h₂ : aeval a p = 0) : aeval a q = 0 :=
   by
   rw [aeval_def, ← eval_map] at h₂⊢
   exact eval_eq_zero_of_dvd_of_eval_eq_zero (Polynomial.map_dvd (algebraMap S T) h₁) h₂
 #align polynomial.aeval_eq_zero_of_dvd_aeval_eq_zero Polynomial.aeval_eq_zero_of_dvd_aeval_eq_zero
--/
 
 variable (R)
 
@@ -392,19 +354,15 @@ section Semiring
 
 variable [Semiring S] {f : R →+* S}
 
-#print Polynomial.aeval_eq_sum_range /-
 theorem aeval_eq_sum_range [Algebra R S] {p : R[X]} (x : S) :
     aeval x p = ∑ i in Finset.range (p.natDegree + 1), p.coeff i • x ^ i := by
   simp_rw [Algebra.smul_def]; exact eval₂_eq_sum_range (algebraMap R S) x
 #align polynomial.aeval_eq_sum_range Polynomial.aeval_eq_sum_range
--/
 
-#print Polynomial.aeval_eq_sum_range' /-
 theorem aeval_eq_sum_range' [Algebra R S] {p : R[X]} {n : ℕ} (hn : p.natDegree < n) (x : S) :
     aeval x p = ∑ i in Finset.range n, p.coeff i • x ^ i := by simp_rw [Algebra.smul_def];
   exact eval₂_eq_sum_range' (algebraMap R S) hn x
 #align polynomial.aeval_eq_sum_range' Polynomial.aeval_eq_sum_range'
--/
 
 theorem isRoot_of_eval₂_map_eq_zero (hf : Function.Injective f) {r : R} :
     eval₂ f (f r) p = 0 → p.IsRoot r := by

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

@@ -27,7 +27,7 @@ noncomputable section
 
 open Finset
 
-open BigOperators Polynomial
+open scoped BigOperators Polynomial
 
 namespace Polynomial
 

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

@@ -63,37 +63,19 @@ instance algebraOfAlgebra : Algebra R A[X]
 #align polynomial.algebra_of_algebra Polynomial.algebraOfAlgebra
 -/
 
-/- warning: polynomial.algebra_map_apply -> Polynomial.algebraMap_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align polynomial.algebra_map_apply Polynomial.algebraMap_applyₓ'. -/
 theorem algebraMap_apply (r : R) : algebraMap R A[X] r = C (algebraMap R A r) :=
   rfl
 #align polynomial.algebra_map_apply Polynomial.algebraMap_apply
 
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 @[simp]
 theorem toFinsupp_algebraMap (r : R) : (algebraMap R A[X] r).toFinsupp = algebraMap R _ r :=
   show toFinsupp (C (algebraMap _ _ r)) = _ by rw [to_finsupp_C]; rfl
 #align polynomial.to_finsupp_algebra_map Polynomial.toFinsupp_algebraMap
 
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 theorem ofFinsupp_algebraMap (r : R) : (⟨algebraMap R _ r⟩ : A[X]) = algebraMap R A[X] r :=
   toFinsupp_injective (toFinsupp_algebraMap _).symm
 #align polynomial.of_finsupp_algebra_map Polynomial.ofFinsupp_algebraMap
 
-/- warning: polynomial.C_eq_algebra_map -> Polynomial.C_eq_algebraMap is a dubious translation:
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 /-- When we have `[comm_semiring R]`, the function `C` is the same as `algebra_map R R[X]`.
 
 (But note that `C` is defined when `R` is not necessarily commutative, in which case
@@ -105,9 +87,6 @@ theorem C_eq_algebraMap (r : R) : C r = algebraMap R R[X] r :=
 
 variable {R}
 
-/- warning: polynomial.alg_hom_ext' -> Polynomial.algHom_ext' is a dubious translation:
-<too large>
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 /-- Extensionality lemma for algebra maps out of `A'[X]` over a smaller base ring than `A'`
 -/
 @[ext]
@@ -144,9 +123,6 @@ instance [Nontrivial A] : Nontrivial (Subalgebra R A[X]) :=
       refine' ⟨1, _⟩
       simp [coeff_C]⟩⟩
 
-/- warning: polynomial.alg_hom_eval₂_algebra_map -> Polynomial.algHom_eval₂_algebraMap is a dubious translation:
-<too large>
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 @[simp]
 theorem algHom_eval₂_algebraMap {R A B : Type _} [CommSemiring R] [Semiring A] [Semiring B]
     [Algebra R A] [Algebra R B] (p : R[X]) (f : A →ₐ[R] B) (a : A) :
@@ -156,9 +132,6 @@ theorem algHom_eval₂_algebraMap {R A B : Type _} [CommSemiring R] [Semiring A]
   simp only [f.map_sum, f.map_mul, f.map_pow, eq_intCast, map_intCast, AlgHom.commutes]
 #align polynomial.alg_hom_eval₂_algebra_map Polynomial.algHom_eval₂_algebraMap
 
-/- warning: polynomial.eval₂_algebra_map_X -> Polynomial.eval₂_algebraMap_X is a dubious translation:
-<too large>
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 @[simp]
 theorem eval₂_algebraMap_X {R A : Type _} [CommSemiring R] [Semiring A] [Algebra R A] (p : R[X])
     (f : R[X] →ₐ[R] A) : eval₂ (algebraMap R A) (f X) p = f p :=
@@ -169,12 +142,6 @@ theorem eval₂_algebraMap_X {R A : Type _} [CommSemiring R] [Semiring A] [Algeb
   simp [Polynomial.C_eq_algebraMap]
 #align polynomial.eval₂_algebra_map_X Polynomial.eval₂_algebraMap_X
 
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 -- these used to be about `algebra_map ℤ R`, but now the simp-normal form is `int.cast_ring_hom R`.
 @[simp]
 theorem ringHom_eval₂_cast_int_ringHom {R S : Type _} [Ring R] [Ring S] (p : ℤ[X]) (f : R →+* S)
@@ -182,12 +149,6 @@ theorem ringHom_eval₂_cast_int_ringHom {R S : Type _} [Ring R] [Ring S] (p : 
   algHom_eval₂_algebraMap p f.toIntAlgHom r
 #align polynomial.ring_hom_eval₂_cast_int_ring_hom Polynomial.ringHom_eval₂_cast_int_ringHom
 
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Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6)))))) f p)
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 @[simp]
 theorem eval₂_int_castRingHom_X {R : Type _} [Ring R] (p : ℤ[X]) (f : ℤ[X] →+* R) :
     eval₂ (Int.castRingHom R) (f X) p = f p :=
@@ -219,12 +180,6 @@ def aeval : R[X] →ₐ[R] A :=
 
 variable {R A}
 
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 @[simp]
 theorem adjoin_X : Algebra.adjoin R ({X} : Set R[X]) = ⊤ :=
   by
@@ -323,17 +278,11 @@ theorem aeval_mul : aeval x (p * q) = aeval x p * aeval x q :=
 #align polynomial.aeval_mul Polynomial.aeval_mul
 -/
 
-/- warning: polynomial.aeval_comp -> Polynomial.aeval_comp is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align polynomial.aeval_comp Polynomial.aeval_compₓ'. -/
 theorem aeval_comp {A : Type _} [CommSemiring A] [Algebra R A] (x : A) :
     aeval x (p.comp q) = aeval (aeval x q) p :=
   eval₂_comp (algebraMap R A)
 #align polynomial.aeval_comp Polynomial.aeval_comp
 
-/- warning: polynomial.aeval_alg_hom -> Polynomial.aeval_algHom is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align polynomial.aeval_alg_hom Polynomial.aeval_algHomₓ'. -/
 theorem aeval_algHom (f : A →ₐ[R] B) (x : A) : aeval (f x) = f.comp (aeval x) :=
   algHom_ext <| by simp only [aeval_X, AlgHom.comp_apply]
 #align polynomial.aeval_alg_hom Polynomial.aeval_algHom
@@ -357,9 +306,6 @@ theorem eval_unique (φ : R[X] →ₐ[R] A) (p) : φ p = eval₂ (algebraMap R A
 #align polynomial.eval_unique Polynomial.eval_unique
 -/
 
-/- warning: polynomial.aeval_alg_hom_apply -> Polynomial.aeval_algHom_apply is a dubious translation:
-<too large>
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 theorem aeval_algHom_apply {F : Type _} [AlgHomClass F R A B] (f : F) (x : A) (p : R[X]) :
     aeval (f x) p = f (aeval x p) :=
   by
@@ -367,9 +313,6 @@ theorem aeval_algHom_apply {F : Type _} [AlgHomClass F R A B] (f : F) (x : A) (p
   rw [map_add, hp, hq, ← map_add, ← map_add]
 #align polynomial.aeval_alg_hom_apply Polynomial.aeval_algHom_apply
 
-/- warning: polynomial.aeval_alg_equiv -> Polynomial.aeval_algEquiv is a dubious translation:
-<too large>
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 theorem aeval_algEquiv (f : A ≃ₐ[R] B) (x : A) : aeval (f x) = (f : A →ₐ[R] B).comp (aeval x) :=
   aeval_algHom (f : A →ₐ[R] B) x
 #align polynomial.aeval_alg_equiv Polynomial.aeval_algEquiv
@@ -388,30 +331,18 @@ theorem coe_aeval_eq_eval (r : R) : (aeval r : R[X] → R) = eval r :=
 #align polynomial.coe_aeval_eq_eval Polynomial.coe_aeval_eq_eval
 -/
 
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 @[simp]
 theorem coe_aeval_eq_evalRingHom (x : R) :
     ((aeval x : R[X] →ₐ[R] R) : R[X] →+* R) = evalRingHom x :=
   rfl
 #align polynomial.coe_aeval_eq_eval_ring_hom Polynomial.coe_aeval_eq_evalRingHom
 
-/- warning: polynomial.aeval_fn_apply -> Polynomial.aeval_fn_apply is a dubious translation:
-<too large>
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 @[simp]
 theorem aeval_fn_apply {X : Type _} (g : R[X]) (f : X → R) (x : X) :
     ((aeval f) g) x = aeval (f x) g :=
   (aeval_algHom_apply (Pi.evalAlgHom R (fun _ => R) x) f g).symm
 #align polynomial.aeval_fn_apply Polynomial.aeval_fn_apply
 
-/- warning: polynomial.aeval_subalgebra_coe -> Polynomial.aeval_subalgebra_coe is a dubious translation:
-<too large>
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 @[norm_cast]
 theorem aeval_subalgebra_coe (g : R[X]) {A : Type _} [Semiring A] [Algebra R A] (s : Subalgebra R A)
     (f : s) : (aeval f g : A) = aeval (f : A) g :=
@@ -424,16 +355,10 @@ theorem coeff_zero_eq_aeval_zero (p : R[X]) : p.coeff 0 = aeval 0 p := by
 #align polynomial.coeff_zero_eq_aeval_zero Polynomial.coeff_zero_eq_aeval_zero
 -/
 
-/- warning: polynomial.coeff_zero_eq_aeval_zero' -> Polynomial.coeff_zero_eq_aeval_zero' is a dubious translation:
-<too large>
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 theorem coeff_zero_eq_aeval_zero' (p : R[X]) : algebraMap R A (p.coeff 0) = aeval (0 : A) p := by
   simp [aeval_def]
 #align polynomial.coeff_zero_eq_aeval_zero' Polynomial.coeff_zero_eq_aeval_zero'
 
-/- warning: polynomial.map_aeval_eq_aeval_map -> Polynomial.map_aeval_eq_aeval_map is a dubious translation:
-<too large>
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 theorem map_aeval_eq_aeval_map {S T U : Type _} [CommSemiring S] [CommSemiring T] [Semiring U]
     [Algebra R S] [Algebra T U] {φ : R →+* T} {ψ : S →+* U}
     (h : (algebraMap T U).comp φ = ψ.comp (algebraMap R S)) (p : R[X]) (a : S) :
@@ -481,12 +406,6 @@ theorem aeval_eq_sum_range' [Algebra R S] {p : R[X]} {n : ℕ} (hn : p.natDegree
 #align polynomial.aeval_eq_sum_range' Polynomial.aeval_eq_sum_range'
 -/
 
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 theorem isRoot_of_eval₂_map_eq_zero (hf : Function.Injective f) {r : R} :
     eval₂ f (f r) p = 0 → p.IsRoot r := by
   intro h
@@ -494,9 +413,6 @@ theorem isRoot_of_eval₂_map_eq_zero (hf : Function.Injective f) {r : R} :
   rw [← eval₂_hom, h, f.map_zero]
 #align polynomial.is_root_of_eval₂_map_eq_zero Polynomial.isRoot_of_eval₂_map_eq_zero
 
-/- warning: polynomial.is_root_of_aeval_algebra_map_eq_zero -> Polynomial.isRoot_of_aeval_algebraMap_eq_zero is a dubious translation:
-<too large>
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 theorem isRoot_of_aeval_algebraMap_eq_zero [Algebra R S] {p : R[X]}
     (inj : Function.Injective (algebraMap R S)) {r : R} (hr : aeval (algebraMap R S r) p = 0) :
     p.IsRoot r :=
@@ -521,59 +437,35 @@ def aevalTower (f : R →ₐ[S] A') (x : A') : R[X] →ₐ[S] A' :=
 
 variable (g : R →ₐ[S] A') (y : A')
 
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 @[simp]
 theorem aevalTower_X : aevalTower g y X = y :=
   eval₂_X _ _
 #align polynomial.aeval_tower_X Polynomial.aevalTower_X
 
-/- warning: polynomial.aeval_tower_C -> Polynomial.aevalTower_C is a dubious translation:
-<too large>
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 @[simp]
 theorem aevalTower_C (x : R) : aevalTower g y (C x) = g x :=
   eval₂_C _ _
 #align polynomial.aeval_tower_C Polynomial.aevalTower_C
 
-/- warning: polynomial.aeval_tower_comp_C -> Polynomial.aevalTower_comp_C is a dubious translation:
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 @[simp]
 theorem aevalTower_comp_C : (aevalTower g y : R[X] →+* A').comp C = g :=
   RingHom.ext <| aevalTower_C _ _
 #align polynomial.aeval_tower_comp_C Polynomial.aevalTower_comp_C
 
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 @[simp]
 theorem aevalTower_algebraMap (x : R) : aevalTower g y (algebraMap R R[X] x) = g x :=
   eval₂_C _ _
 #align polynomial.aeval_tower_algebra_map Polynomial.aevalTower_algebraMap
 
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-<too large>
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 @[simp]
 theorem aevalTower_comp_algebraMap : (aevalTower g y : R[X] →+* A').comp (algebraMap R R[X]) = g :=
   aevalTower_comp_C _ _
 #align polynomial.aeval_tower_comp_algebra_map Polynomial.aevalTower_comp_algebraMap
 
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-<too large>
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 theorem aevalTower_toAlgHom (x : R) : aevalTower g y (IsScalarTower.toAlgHom S R R[X] x) = g x :=
   aevalTower_algebraMap _ _ _
 #align polynomial.aeval_tower_to_alg_hom Polynomial.aevalTower_toAlgHom
 
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 @[simp]
 theorem aevalTower_comp_toAlgHom : (aevalTower g y).comp (IsScalarTower.toAlgHom S R R[X]) = g :=
   AlgHom.coe_ringHom_injective <| aevalTower_comp_algebraMap _ _
@@ -586,12 +478,6 @@ theorem aevalTower_id : aevalTower (AlgHom.id S S) = aeval := by ext;
 #align polynomial.aeval_tower_id Polynomial.aevalTower_id
 -/
 
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 @[simp]
 theorem aevalTower_ofId : aevalTower (Algebra.ofId S A') = aeval := by ext;
   simp only [aeval_X, aeval_tower_X]
@@ -605,12 +491,6 @@ section CommRing
 
 variable [CommRing S] {f : R →+* S}
 
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 /- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (j «expr ≠ » i) -/
 theorem dvd_term_of_dvd_eval_of_dvd_terms {z p : S} {f : S[X]} (i : ℕ) (dvd_eval : p ∣ f.eval z)
     (dvd_terms : ∀ (j) (_ : j ≠ i), p ∣ f.coeff j * z ^ j) : p ∣ f.coeff i * z ^ i :=
@@ -627,12 +507,6 @@ theorem dvd_term_of_dvd_eval_of_dvd_terms {z p : S} {f : S[X]} (i : ℕ) (dvd_ev
     simp [hi]
 #align polynomial.dvd_term_of_dvd_eval_of_dvd_terms Polynomial.dvd_term_of_dvd_eval_of_dvd_terms
 
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 /- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (j «expr ≠ » i) -/
 theorem dvd_term_of_isRoot_of_dvd_terms {r p : S} {f : S[X]} (i : ℕ) (hr : f.IsRoot r)
     (h : ∀ (j) (_ : j ≠ i), p ∣ f.coeff j * r ^ j) : p ∣ f.coeff i * r ^ i :=
@@ -647,12 +521,6 @@ section Ring
 
 variable [Ring R]
 
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 /-- The evaluation map is not generally multiplicative when the coefficient ring is noncommutative,
 but nevertheless any polynomial of the form `p * (X - monomial 0 r)` is sent to zero
 when evaluated at `r`.
@@ -680,21 +548,12 @@ theorem eval_mul_X_sub_C {p : R[X]} (r : R) : (p * (X - C r)).eval r = 0 :=
   simp [sum_range_sub', coeff_monomial]
 #align polynomial.eval_mul_X_sub_C Polynomial.eval_mul_X_sub_C
 
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-Case conversion may be inaccurate. Consider using '#align polynomial.not_is_unit_X_sub_C Polynomial.not_isUnit_X_sub_Cₓ'. -/
 theorem not_isUnit_X_sub_C [Nontrivial R] (r : R) : ¬IsUnit (X - C r) :=
   fun ⟨⟨_, g, hfg, hgf⟩, rfl⟩ => zero_ne_one' R <| by erw [← eval_mul_X_sub_C, hgf, eval_one]
 #align polynomial.not_is_unit_X_sub_C Polynomial.not_isUnit_X_sub_C
 
 end Ring
 
-/- warning: polynomial.aeval_endomorphism -> Polynomial.aeval_endomorphism is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align polynomial.aeval_endomorphism Polynomial.aeval_endomorphismₓ'. -/
 theorem aeval_endomorphism {M : Type _} [CommRing R] [AddCommGroup M] [Module R M] (f : M →ₗ[R] M)
     (v : M) (p : R[X]) : aeval f p v = p.Sum fun n b => b • (f ^ n) v :=
   by

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

@@ -78,10 +78,7 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align polynomial.to_finsupp_algebra_map Polynomial.toFinsupp_algebraMapₓ'. -/
 @[simp]
 theorem toFinsupp_algebraMap (r : R) : (algebraMap R A[X] r).toFinsupp = algebraMap R _ r :=
-  show toFinsupp (C (algebraMap _ _ r)) = _
-    by
-    rw [to_finsupp_C]
-    rfl
+  show toFinsupp (C (algebraMap _ _ r)) = _ by rw [to_finsupp_C]; rfl
 #align polynomial.to_finsupp_algebra_map Polynomial.toFinsupp_algebraMap
 
 /- warning: polynomial.of_finsupp_algebra_map -> Polynomial.ofFinsupp_algebraMap is a dubious translation:
@@ -472,18 +469,14 @@ variable [Semiring S] {f : R →+* S}
 
 #print Polynomial.aeval_eq_sum_range /-
 theorem aeval_eq_sum_range [Algebra R S] {p : R[X]} (x : S) :
-    aeval x p = ∑ i in Finset.range (p.natDegree + 1), p.coeff i • x ^ i :=
-  by
-  simp_rw [Algebra.smul_def]
-  exact eval₂_eq_sum_range (algebraMap R S) x
+    aeval x p = ∑ i in Finset.range (p.natDegree + 1), p.coeff i • x ^ i := by
+  simp_rw [Algebra.smul_def]; exact eval₂_eq_sum_range (algebraMap R S) x
 #align polynomial.aeval_eq_sum_range Polynomial.aeval_eq_sum_range
 -/
 
 #print Polynomial.aeval_eq_sum_range' /-
 theorem aeval_eq_sum_range' [Algebra R S] {p : R[X]} {n : ℕ} (hn : p.natDegree < n) (x : S) :
-    aeval x p = ∑ i in Finset.range n, p.coeff i • x ^ i :=
-  by
-  simp_rw [Algebra.smul_def]
+    aeval x p = ∑ i in Finset.range n, p.coeff i • x ^ i := by simp_rw [Algebra.smul_def];
   exact eval₂_eq_sum_range' (algebraMap R S) hn x
 #align polynomial.aeval_eq_sum_range' Polynomial.aeval_eq_sum_range'
 -/
@@ -588,9 +581,7 @@ theorem aevalTower_comp_toAlgHom : (aevalTower g y).comp (IsScalarTower.toAlgHom
 
 #print Polynomial.aevalTower_id /-
 @[simp]
-theorem aevalTower_id : aevalTower (AlgHom.id S S) = aeval :=
-  by
-  ext
+theorem aevalTower_id : aevalTower (AlgHom.id S S) = aeval := by ext;
   simp only [eval_X, aeval_tower_X, coe_aeval_eq_eval]
 #align polynomial.aeval_tower_id Polynomial.aevalTower_id
 -/
@@ -602,9 +593,7 @@ but is expected to have type
   forall {S : Type.{u2}} {A' : Type.{u1}} [_inst_1 : CommSemiring.{u1} A'] [_inst_8 : CommSemiring.{u2} S] [_inst_10 : Algebra.{u2, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1)], Eq.{max (succ u2) (succ u1)} (A' -> (AlgHom.{u2, u2, u1} S (Polynomial.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8)) A' _inst_8 (Polynomial.semiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u2, u2} S S _inst_8 (CommSemiring.toSemiring.{u2} S _inst_8) (Algebra.id.{u2} S _inst_8)) _inst_10)) (Polynomial.aevalTower.{u2, u2, u1} S S A' _inst_1 _inst_8 _inst_8 (Algebra.id.{u2} S _inst_8) _inst_10 (Algebra.ofId.{u2, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10)) (Polynomial.aeval.{u2, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10)
 Case conversion may be inaccurate. Consider using '#align polynomial.aeval_tower_of_id Polynomial.aevalTower_ofIdₓ'. -/
 @[simp]
-theorem aevalTower_ofId : aevalTower (Algebra.ofId S A') = aeval :=
-  by
-  ext
+theorem aevalTower_ofId : aevalTower (Algebra.ofId S A') = aeval := by ext;
   simp only [aeval_X, aeval_tower_X]
 #align polynomial.aeval_tower_of_id Polynomial.aevalTower_ofId
 

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

@@ -64,10 +64,7 @@ instance algebraOfAlgebra : Algebra R A[X]
 -/
 
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 Case conversion may be inaccurate. Consider using '#align polynomial.algebra_map_apply Polynomial.algebraMap_applyₓ'. -/
 theorem algebraMap_apply (r : R) : algebraMap R A[X] r = C (algebraMap R A r) :=
   rfl
@@ -98,10 +95,7 @@ theorem ofFinsupp_algebraMap (r : R) : (⟨algebraMap R _ r⟩ : A[X]) = algebra
 #align polynomial.of_finsupp_algebra_map Polynomial.ofFinsupp_algebraMap
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align polynomial.C_eq_algebra_map Polynomial.C_eq_algebraMapₓ'. -/
 /-- When we have `[comm_semiring R]`, the function `C` is the same as `algebra_map R R[X]`.
 
@@ -115,10 +109,7 @@ theorem C_eq_algebraMap (r : R) : C r = algebraMap R R[X] r :=
 variable {R}
 
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_inst_7) (AlgHom.comp.{u3, u2, u2, u1} R A' (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 _inst_6 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7 f (IsScalarTower.toAlgHom.{u3, u2, u2} R A' (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_3 _inst_1 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_6 (Polynomial.algebraOfAlgebra.{u2, u2} A' A' _inst_1 (CommSemiring.toSemiring.{u2} A' _inst_1) (Algebra.id.{u2} A' _inst_1)) (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) (Polynomial.isScalarTower.{u2, u3, u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1) R A' (Algebra.toSMul.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) (SMulWithZero.toSMulZeroClass.{u3, 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A' (CommSemiring.toSemiring.{u2} A' _inst_1))) (MulActionWithZero.toSMulWithZero.{u2, u2} A' A' (Semiring.toMonoidWithZero.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (MonoidWithZero.toZero.{u2} A' (Semiring.toMonoidWithZero.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))) (Module.toMulActionWithZero.{u2, u2} A' A' (CommSemiring.toSemiring.{u2} A' _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) (Algebra.toModule.{u2, u2} A' A' _inst_1 (CommSemiring.toSemiring.{u2} A' _inst_1) (Algebra.id.{u2} A' _inst_1))))) (IsScalarTower.right.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6)))) (AlgHom.comp.{u3, u2, u2, u1} R A' (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 _inst_6 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7 g (IsScalarTower.toAlgHom.{u3, u2, u2} R A' (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_3 _inst_1 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_6 (Polynomial.algebraOfAlgebra.{u2, u2} A' A' _inst_1 (CommSemiring.toSemiring.{u2} A' _inst_1) (Algebra.id.{u2} A' _inst_1)) (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) (Polynomial.isScalarTower.{u2, u3, u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1) R A' (Algebra.toSMul.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) (SMulWithZero.toSMulZeroClass.{u3, u2} R A' (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_3)) (MonoidWithZero.toZero.{u2} A' (Semiring.toMonoidWithZero.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))) 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+<too large>
 Case conversion may be inaccurate. Consider using '#align polynomial.alg_hom_ext' Polynomial.algHom_ext'ₓ'. -/
 /-- Extensionality lemma for algebra maps out of `A'[X]` over a smaller base ring than `A'`
 -/
@@ -157,10 +148,7 @@ instance [Nontrivial A] : Nontrivial (Subalgebra R A[X]) :=
       simp [coeff_C]⟩⟩
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align polynomial.alg_hom_eval₂_algebra_map Polynomial.algHom_eval₂_algebraMapₓ'. -/
 @[simp]
 theorem algHom_eval₂_algebraMap {R A B : Type _} [CommSemiring R] [Semiring A] [Semiring B]
@@ -172,10 +160,7 @@ theorem algHom_eval₂_algebraMap {R A B : Type _} [CommSemiring R] [Semiring A]
 #align polynomial.alg_hom_eval₂_algebra_map Polynomial.algHom_eval₂_algebraMap
 
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_inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)) _inst_8) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)))))) (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_7)))) 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+<too large>
 Case conversion may be inaccurate. Consider using '#align polynomial.eval₂_algebra_map_X Polynomial.eval₂_algebraMap_Xₓ'. -/
 @[simp]
 theorem eval₂_algebraMap_X {R A : Type _} [CommSemiring R] [Semiring A] [Algebra R A] (p : R[X])
@@ -342,10 +327,7 @@ theorem aeval_mul : aeval x (p * q) = aeval x p * aeval x q :=
 -/
 
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(CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8)))) (Algebra.toModule.{u2, u1} R A _inst_3 (CommSemiring.toSemiring.{u1} A _inst_8) _inst_9)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A _inst_8) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R 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+<too large>
 Case conversion may be inaccurate. Consider using '#align polynomial.aeval_comp Polynomial.aeval_compₓ'. -/
 theorem aeval_comp {A : Type _} [CommSemiring A] [Algebra R A] (x : A) :
     aeval x (p.comp q) = aeval (aeval x q) p :=
@@ -353,10 +335,7 @@ theorem aeval_comp {A : Type _} [CommSemiring A] [Algebra R A] (x : A) :
 #align polynomial.aeval_comp Polynomial.aeval_comp
 
 /- warning: polynomial.aeval_alg_hom -> Polynomial.aeval_algHom is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align polynomial.aeval_alg_hom Polynomial.aeval_algHomₓ'. -/
 theorem aeval_algHom (f : A →ₐ[R] B) (x : A) : aeval (f x) = f.comp (aeval x) :=
   algHom_ext <| by simp only [aeval_X, AlgHom.comp_apply]
@@ -382,10 +361,7 @@ theorem eval_unique (φ : R[X] →ₐ[R] A) (p) : φ p = eval₂ (algebraMap R A
 -/
 
 /- warning: polynomial.aeval_alg_hom_apply -> Polynomial.aeval_algHom_apply is a dubious translation:
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(Module.toDistribMulAction.{u3, u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))))) (Algebra.toModule.{u3, u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3))))))) (SMulZeroClass.toSMul.{u3, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (AddMonoid.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 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B) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) _inst_6))))) (DistribMulAction.toDistribSMul.{u3, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))) (AddCommMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) _inst_6)))) (Module.toDistribMulAction.{u3, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) _inst_6))) (Algebra.toModule.{u3, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) _inst_3 _inst_6 _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u3, u3, u3, u1} (AlgHom.{u3, u3, u1} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_6 (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3)) _inst_7) R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) 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(x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) _inst_6)))) (Module.toDistribMulAction.{u3, u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))))) (Algebra.toModule.{u3, u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3)))) (Module.toDistribMulAction.{u3, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) _inst_6))) (Algebra.toModule.{u3, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) _inst_3 _inst_6 _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u1 u3, u3, u3, u1} (AlgHom.{u3, u3, u1} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_6 (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3)) _inst_7) R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) _inst_6)) (Module.toDistribMulAction.{u3, u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))))) (Algebra.toModule.{u3, u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3)))) (Module.toDistribMulAction.{u3, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) _inst_6))) (Algebra.toModule.{u3, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) _inst_3 _inst_6 _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, u3, u1, max u1 u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_6 (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3)) _inst_7 (AlgHom.{u3, u3, u1} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_6 (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3)) _inst_7) (AlgHom.algHomClass.{u3, u3, u1} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_6 (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3)) _inst_7))))) (Polynomial.aeval.{u3, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) _inst_3 _inst_6 _inst_7 (FunLike.coe.{succ u2, succ u4, succ u1} F A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) _x) (SMulHomClass.toFunLike.{u2, u3, u4, u1} F R A B (SMulZeroClass.toSMul.{u3, u4} R A (AddMonoid.toZero.{u4} A (AddCommMonoid.toAddMonoid.{u4} A 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(Algebra.toModule.{u3, u4} R A _inst_3 _inst_4 _inst_5))))) (SMulZeroClass.toSMul.{u3, u1} R B (AddMonoid.toZero.{u1} B (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6))))) (DistribSMul.toSMulZeroClass.{u3, u1} R B (AddMonoid.toAddZeroClass.{u1} B (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6))))) (DistribMulAction.toDistribSMul.{u3, u1} R B (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))) (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6)))) (Module.toDistribMulAction.{u3, u1} R B (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6))) (Algebra.toModule.{u3, u1} R B _inst_3 _inst_6 _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{u2, u3, u4, u1} F R A B (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))) (AddCommMonoid.toAddMonoid.{u4} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} A (Semiring.toNonAssocSemiring.{u4} A _inst_4)))) (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6)))) (Module.toDistribMulAction.{u3, u4} R A (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} A (Semiring.toNonAssocSemiring.{u4} A _inst_4))) 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_inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3)) _inst_5))))) (Polynomial.aeval.{u3, u4} R A _inst_3 _inst_4 _inst_5 x) p))
+<too large>
 Case conversion may be inaccurate. Consider using '#align polynomial.aeval_alg_hom_apply Polynomial.aeval_algHom_applyₓ'. -/
 theorem aeval_algHom_apply {F : Type _} [AlgHomClass F R A B] (f : F) (x : A) (p : R[X]) :
     aeval (f x) p = f (aeval x p) :=
@@ -395,10 +371,7 @@ theorem aeval_algHom_apply {F : Type _} [AlgHomClass F R A B] (f : F) (x : A) (p
 #align polynomial.aeval_alg_hom_apply Polynomial.aeval_algHom_apply
 
 /- warning: polynomial.aeval_alg_equiv -> Polynomial.aeval_algEquiv is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align polynomial.aeval_alg_equiv Polynomial.aeval_algEquivₓ'. -/
 theorem aeval_algEquiv (f : A ≃ₐ[R] B) (x : A) : aeval (f x) = (f : A →ₐ[R] B).comp (aeval x) :=
   aeval_algHom (f : A →ₐ[R] B) x
@@ -431,10 +404,7 @@ theorem coe_aeval_eq_evalRingHom (x : R) :
 #align polynomial.coe_aeval_eq_eval_ring_hom Polynomial.coe_aeval_eq_evalRingHom
 
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(CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3))))))) (SMulZeroClass.toSMul.{u2, max u2 u1} R (X -> R) (AddMonoid.toZero.{max u2 u1} (X -> R) (AddCommMonoid.toAddMonoid.{max u2 u1} (X -> R) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u1} R (X -> R) (AddMonoid.toAddZeroClass.{max u2 u1} (X -> R) (AddCommMonoid.toAddMonoid.{max u2 u1} (X -> R) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u1} R (X -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{max u2 u1} (X -> R) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (X -> R) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, max u2 u1} R (X -> R) _inst_3 (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u2, u2, max u2 u1} (AlgHom.{u2, u2, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (AddCommMonoid.toAddMonoid.{max u2 u1} (X -> R) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, max u2 u1} R (X -> R) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, max u2 u1} R (X -> R) _inst_3 (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u2, u2, max u2 u1} (AlgHom.{u2, u2, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, max u2 u1} R (X -> R) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, max u2 u1} R (X -> R) _inst_3 (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, max u2 u1, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3)) (AlgHom.{u2, u2, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 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+<too large>
 Case conversion may be inaccurate. Consider using '#align polynomial.aeval_fn_apply Polynomial.aeval_fn_applyₓ'. -/
 @[simp]
 theorem aeval_fn_apply {X : Type _} (g : R[X]) (f : X → R) (x : X) :
@@ -443,10 +413,7 @@ theorem aeval_fn_apply {X : Type _} (g : R[X]) (f : X → R) (x : X) :
 #align polynomial.aeval_fn_apply Polynomial.aeval_fn_apply
 
 /- warning: polynomial.aeval_subalgebra_coe -> Polynomial.aeval_subalgebra_coe is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align polynomial.aeval_subalgebra_coe Polynomial.aeval_subalgebra_coeₓ'. -/
 @[norm_cast]
 theorem aeval_subalgebra_coe (g : R[X]) {A : Type _} [Semiring A] [Algebra R A] (s : Subalgebra R A)
@@ -461,20 +428,14 @@ theorem coeff_zero_eq_aeval_zero (p : R[X]) : p.coeff 0 = aeval 0 p := by
 -/
 
 /- warning: polynomial.coeff_zero_eq_aeval_zero' -> Polynomial.coeff_zero_eq_aeval_zero' is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align polynomial.coeff_zero_eq_aeval_zero' Polynomial.coeff_zero_eq_aeval_zero'ₓ'. -/
 theorem coeff_zero_eq_aeval_zero' (p : R[X]) : algebraMap R A (p.coeff 0) = aeval (0 : A) p := by
   simp [aeval_def]
 #align polynomial.coeff_zero_eq_aeval_zero' Polynomial.coeff_zero_eq_aeval_zero'
 
 /- warning: polynomial.map_aeval_eq_aeval_map -> Polynomial.map_aeval_eq_aeval_map is a dubious translation:
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(Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8)) (Semiring.toNonAssocSemiring.{u4} U _inst_10)) ψ (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) S _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u2} S _inst_8) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_11) (fun (_x : AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) S _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u2} S _inst_8) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_11) => (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) -> S) ([anonymous].{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) S _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u2} S _inst_8) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_11) (Polynomial.aeval.{u1, u2} R S _inst_3 (CommSemiring.toSemiring.{u2} S _inst_8) _inst_11 a) p)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (AlgHom.{u3, u3, u4} T (Polynomial.{u3} T (CommSemiring.toSemiring.{u3} T _inst_9)) U _inst_9 (Polynomial.semiring.{u3} T (CommSemiring.toSemiring.{u3} T _inst_9)) _inst_10 (Polynomial.algebraOfAlgebra.{u3, u3} T T _inst_9 (CommSemiring.toSemiring.{u3} T _inst_9) (Algebra.id.{u3} T _inst_9)) _inst_12) (fun (_x : AlgHom.{u3, u3, u4} T (Polynomial.{u3} T (CommSemiring.toSemiring.{u3} T _inst_9)) U _inst_9 (Polynomial.semiring.{u3} T (CommSemiring.toSemiring.{u3} T _inst_9)) _inst_10 (Polynomial.algebraOfAlgebra.{u3, u3} T T _inst_9 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(Semiring.toNonAssocSemiring.{u4} U _inst_10)) ψ a)) (Polynomial.map.{u1, u3} R T (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} T _inst_9) φ p)))
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-  forall {R : Type.{u4}} [_inst_3 : CommSemiring.{u4} R] {S : Type.{u3}} {T : Type.{u2}} {U : Type.{u1}} [_inst_8 : CommSemiring.{u3} S] [_inst_9 : CommSemiring.{u2} T] [_inst_10 : Semiring.{u1} U] [_inst_11 : Algebra.{u4, u3} R S _inst_3 (CommSemiring.toSemiring.{u3} S _inst_8)] [_inst_12 : Algebra.{u2, u1} T U _inst_9 _inst_10] {φ : RingHom.{u4, u2} R T (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9))} {ψ : RingHom.{u3, u1} S U (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10)}, (Eq.{max (succ u4) (succ u1)} (RingHom.{u4, u1} R U (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} U _inst_10)) (RingHom.comp.{u4, u2, u1} R T U (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} T 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+<too large>
 Case conversion may be inaccurate. Consider using '#align polynomial.map_aeval_eq_aeval_map Polynomial.map_aeval_eq_aeval_mapₓ'. -/
 theorem map_aeval_eq_aeval_map {S T U : Type _} [CommSemiring S] [CommSemiring T] [Semiring U]
     [Algebra R S] [Algebra T U] {φ : R →+* T} {ψ : S →+* U}
@@ -541,10 +502,7 @@ theorem isRoot_of_eval₂_map_eq_zero (hf : Function.Injective f) {r : R} :
 #align polynomial.is_root_of_eval₂_map_eq_zero Polynomial.isRoot_of_eval₂_map_eq_zero
 
 /- warning: polynomial.is_root_of_aeval_algebra_map_eq_zero -> Polynomial.isRoot_of_aeval_algebraMap_eq_zero is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align polynomial.is_root_of_aeval_algebra_map_eq_zero Polynomial.isRoot_of_aeval_algebraMap_eq_zeroₓ'. -/
 theorem isRoot_of_aeval_algebraMap_eq_zero [Algebra R S] {p : R[X]}
     (inj : Function.Injective (algebraMap R S)) {r : R} (hr : aeval (algebraMap R S r) p = 0) :
@@ -571,10 +529,7 @@ def aevalTower (f : R →ₐ[S] A') (x : A') : R[X] →ₐ[S] A' :=
 variable (g : R →ₐ[S] A') (y : A')
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align polynomial.aeval_tower_X Polynomial.aevalTower_Xₓ'. -/
 @[simp]
 theorem aevalTower_X : aevalTower g y X = y :=
@@ -582,10 +537,7 @@ theorem aevalTower_X : aevalTower g y X = y :=
 #align polynomial.aeval_tower_X Polynomial.aevalTower_X
 
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 Case conversion may be inaccurate. Consider using '#align polynomial.aeval_tower_C Polynomial.aevalTower_Cₓ'. -/
 @[simp]
 theorem aevalTower_C (x : R) : aevalTower g y (C x) = g x :=
@@ -593,10 +545,7 @@ theorem aevalTower_C (x : R) : aevalTower g y (C x) = g x :=
 #align polynomial.aeval_tower_C Polynomial.aevalTower_C
 
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 Case conversion may be inaccurate. Consider using '#align polynomial.aeval_tower_comp_C Polynomial.aevalTower_comp_Cₓ'. -/
 @[simp]
 theorem aevalTower_comp_C : (aevalTower g y : R[X] →+* A').comp C = g :=
@@ -604,10 +553,7 @@ theorem aevalTower_comp_C : (aevalTower g y : R[X] →+* A').comp C = g :=
 #align polynomial.aeval_tower_comp_C Polynomial.aevalTower_comp_C
 
 /- warning: polynomial.aeval_tower_algebra_map -> Polynomial.aevalTower_algebraMap is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align polynomial.aeval_tower_algebra_map Polynomial.aevalTower_algebraMapₓ'. -/
 @[simp]
 theorem aevalTower_algebraMap (x : R) : aevalTower g y (algebraMap R R[X] x) = g x :=
@@ -615,10 +561,7 @@ theorem aevalTower_algebraMap (x : R) : aevalTower g y (algebraMap R R[X] x) = g
 #align polynomial.aeval_tower_algebra_map Polynomial.aevalTower_algebraMap
 
 /- warning: polynomial.aeval_tower_comp_algebra_map -> Polynomial.aevalTower_comp_algebraMap is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align polynomial.aeval_tower_comp_algebra_map Polynomial.aevalTower_comp_algebraMapₓ'. -/
 @[simp]
 theorem aevalTower_comp_algebraMap : (aevalTower g y : R[X] →+* A').comp (algebraMap R R[X]) = g :=
@@ -626,10 +569,7 @@ theorem aevalTower_comp_algebraMap : (aevalTower g y : R[X] →+* A').comp (alge
 #align polynomial.aeval_tower_comp_algebra_map Polynomial.aevalTower_comp_algebraMap
 
 /- warning: polynomial.aeval_tower_to_alg_hom -> Polynomial.aevalTower_toAlgHom is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align polynomial.aeval_tower_to_alg_hom Polynomial.aevalTower_toAlgHomₓ'. -/
 theorem aevalTower_toAlgHom (x : R) : aevalTower g y (IsScalarTower.toAlgHom S R R[X] x) = g x :=
   aevalTower_algebraMap _ _ _
@@ -764,10 +704,7 @@ theorem not_isUnit_X_sub_C [Nontrivial R] (r : R) : ¬IsUnit (X - C r) :=
 end Ring
 
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(CommRing.toCommSemiring.{u2} R _inst_3))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)) (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (_x : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) _x) (SMulHomClass.toFunLike.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (SMulZeroClass.toSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribSMul.toSMulZeroClass.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} R 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(CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (AddMonoid.toZero.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))))) (DistribSMul.toSMulZeroClass.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))))) (DistribMulAction.toDistribSMul.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) 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(AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M 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(CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R 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(CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))) (Algebra.toModule.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) 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(AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))) (Algebra.toModule.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, u1, max u1 u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) 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_inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)) (AlgHom.algHomClass.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) 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succ u1, succ u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (HPow.hPow.{u1, 0, u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) Nat (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (instHPow.{u1, 0} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) Nat (Monoid.Pow.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.monoid.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5))) f n) v)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align polynomial.aeval_endomorphism Polynomial.aeval_endomorphismₓ'. -/
 theorem aeval_endomorphism {M : Type _} [CommRing R] [AddCommGroup M] [Module R M] (f : M →ₗ[R] M)
     (v : M) (p : R[X]) : aeval f p v = p.Sum fun n b => b • (f ^ n) v :=

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

@@ -118,7 +118,7 @@ variable {R}
 lean 3 declaration is
   forall {R : Type.{u1}} {A' : Type.{u2}} {B' : Type.{u3}} [_inst_1 : CommSemiring.{u2} A'] [_inst_2 : Semiring.{u3} B'] [_inst_3 : CommSemiring.{u1} R] [_inst_6 : Algebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1)] [_inst_7 : Algebra.{u1, u3} R B' _inst_3 _inst_2] {f : AlgHom.{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7} {g : AlgHom.{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7}, (Eq.{max (succ u2) (succ u3)} (AlgHom.{u1, u2, u3} R A' B' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_2 _inst_6 _inst_7) (AlgHom.comp.{u1, u2, u2, u3} R A' (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 _inst_6 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7 f (IsScalarTower.toAlgHom.{u1, u2, u2} R A' (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_3 _inst_1 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_6 (Polynomial.algebraOfAlgebra.{u2, u2} A' A' _inst_1 (CommSemiring.toSemiring.{u2} A' _inst_1) (Algebra.id.{u2} A' _inst_1)) (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) (Polynomial.isScalarTower.{u2, u1, u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1) R A' (SMulZeroClass.toHasSmul.{u1, u2} R A' (AddZeroClass.toHasZero.{u2} A' (AddMonoid.toAddZeroClass.{u2} A' (AddCommMonoid.toAddMonoid.{u2} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A' (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (AddZeroClass.toHasZero.{u2} A' (AddMonoid.toAddZeroClass.{u2} A' (AddCommMonoid.toAddMonoid.{u2} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A' (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (AddZeroClass.toHasZero.{u2} A' (AddMonoid.toAddZeroClass.{u2} A' (AddCommMonoid.toAddMonoid.{u2} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))))) (Module.toMulActionWithZero.{u1, u2} R A' (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) (Algebra.toModule.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A' (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (MulZeroClass.toHasZero.{u2} A' (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A' (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (MulZeroClass.toHasZero.{u2} A' (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))) (Module.toMulActionWithZero.{u1, u2} R A' (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) (Algebra.toModule.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6)))) (SMulWithZero.toSmulZeroClass.{u2, u2} A' A' (MulZeroClass.toHasZero.{u2} A' (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))) (MulZeroClass.toHasZero.{u2} A' (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))) (MulZeroClass.toSMulWithZero.{u2} A' (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))))) (IsScalarTower.right.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6)))) (AlgHom.comp.{u1, u2, u2, u3} R A' (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 _inst_6 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7 g (IsScalarTower.toAlgHom.{u1, u2, u2} R A' (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_3 _inst_1 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_6 (Polynomial.algebraOfAlgebra.{u2, u2} A' A' _inst_1 (CommSemiring.toSemiring.{u2} A' _inst_1) (Algebra.id.{u2} A' _inst_1)) (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) (Polynomial.isScalarTower.{u2, u1, u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1) R A' (SMulZeroClass.toHasSmul.{u1, u2} R A' (AddZeroClass.toHasZero.{u2} A' (AddMonoid.toAddZeroClass.{u2} A' (AddCommMonoid.toAddMonoid.{u2} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A' (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (AddZeroClass.toHasZero.{u2} A' (AddMonoid.toAddZeroClass.{u2} A' (AddCommMonoid.toAddMonoid.{u2} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A' (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (AddZeroClass.toHasZero.{u2} A' (AddMonoid.toAddZeroClass.{u2} A' (AddCommMonoid.toAddMonoid.{u2} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))))) (Module.toMulActionWithZero.{u1, u2} R A' (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) (Algebra.toModule.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A' (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (MulZeroClass.toHasZero.{u2} A' (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A' (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (MulZeroClass.toHasZero.{u2} A' (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))) (Module.toMulActionWithZero.{u1, u2} R A' (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) (Algebra.toModule.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6)))) (SMulWithZero.toSmulZeroClass.{u2, u2} A' A' (MulZeroClass.toHasZero.{u2} A' (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))) (MulZeroClass.toHasZero.{u2} A' (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))) (MulZeroClass.toSMulWithZero.{u2} A' (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))))) (IsScalarTower.right.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6))))) -> (Eq.{succ u3} B' (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AlgHom.{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) (fun (_x : AlgHom.{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) => (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) -> B') ([anonymous].{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) f (Polynomial.X.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AlgHom.{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) (fun (_x : AlgHom.{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) => (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) -> B') ([anonymous].{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) g (Polynomial.X.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) -> (Eq.{max (succ u2) (succ u3)} (AlgHom.{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) f g)
 but is expected to have type
-  forall {R : Type.{u3}} {A' : Type.{u2}} {B' : Type.{u1}} [_inst_1 : CommSemiring.{u2} A'] [_inst_2 : Semiring.{u1} B'] [_inst_3 : CommSemiring.{u3} R] [_inst_6 : Algebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1)] [_inst_7 : Algebra.{u3, u1} R B' _inst_3 _inst_2] {f : AlgHom.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7} {g : AlgHom.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7}, (Eq.{max (succ u2) (succ u1)} (AlgHom.{u3, u2, u1} R A' B' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_2 _inst_6 _inst_7) (AlgHom.comp.{u3, u2, u2, u1} R A' (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 _inst_6 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7 f (IsScalarTower.toAlgHom.{u3, u2, u2} R A' (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_3 _inst_1 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_6 (Polynomial.algebraOfAlgebra.{u2, u2} A' A' _inst_1 (CommSemiring.toSemiring.{u2} A' _inst_1) (Algebra.id.{u2} A' _inst_1)) (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) (Polynomial.isScalarTower.{u2, u3, u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1) R A' (Algebra.toSMul.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) (SMulWithZero.toSMulZeroClass.{u3, u2} R A' (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_3)) (MonoidWithZero.toZero.{u2} A' (Semiring.toMonoidWithZero.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))) (MulActionWithZero.toSMulWithZero.{u3, u2} R A' (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (MonoidWithZero.toZero.{u2} A' (Semiring.toMonoidWithZero.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))) (Module.toMulActionWithZero.{u3, u2} R A' (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) (Algebra.toModule.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A' A' (CommMonoidWithZero.toZero.{u2} A' (CommSemiring.toCommMonoidWithZero.{u2} A' _inst_1)) (MonoidWithZero.toZero.{u2} A' (Semiring.toMonoidWithZero.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))) (MulActionWithZero.toSMulWithZero.{u2, u2} A' A' (Semiring.toMonoidWithZero.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (MonoidWithZero.toZero.{u2} A' (Semiring.toMonoidWithZero.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))) (Module.toMulActionWithZero.{u2, u2} A' A' (CommSemiring.toSemiring.{u2} A' _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) (Algebra.toModule.{u2, u2} A' A' _inst_1 (CommSemiring.toSemiring.{u2} A' _inst_1) (Algebra.id.{u2} A' _inst_1))))) (IsScalarTower.right.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6)))) (AlgHom.comp.{u3, u2, u2, u1} R A' (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 _inst_6 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7 g (IsScalarTower.toAlgHom.{u3, u2, u2} R A' (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_3 _inst_1 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_6 (Polynomial.algebraOfAlgebra.{u2, u2} A' A' _inst_1 (CommSemiring.toSemiring.{u2} A' _inst_1) (Algebra.id.{u2} A' _inst_1)) (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) (Polynomial.isScalarTower.{u2, u3, u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1) R A' (Algebra.toSMul.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) (SMulWithZero.toSMulZeroClass.{u3, u2} R A' (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_3)) (MonoidWithZero.toZero.{u2} A' (Semiring.toMonoidWithZero.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))) (MulActionWithZero.toSMulWithZero.{u3, u2} R A' (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (MonoidWithZero.toZero.{u2} A' (Semiring.toMonoidWithZero.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))) (Module.toMulActionWithZero.{u3, u2} R A' (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) (Algebra.toModule.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A' A' (CommMonoidWithZero.toZero.{u2} A' (CommSemiring.toCommMonoidWithZero.{u2} A' _inst_1)) (MonoidWithZero.toZero.{u2} A' (Semiring.toMonoidWithZero.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))) (MulActionWithZero.toSMulWithZero.{u2, u2} A' A' (Semiring.toMonoidWithZero.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (MonoidWithZero.toZero.{u2} A' (Semiring.toMonoidWithZero.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))) (Module.toMulActionWithZero.{u2, u2} A' A' (CommSemiring.toSemiring.{u2} A' _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) (Algebra.toModule.{u2, u2} A' A' _inst_1 (CommSemiring.toSemiring.{u2} A' _inst_1) (Algebra.id.{u2} A' _inst_1))))) (IsScalarTower.right.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6))))) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) => B') (Polynomial.X.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AlgHom.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (fun (_x : Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) => B') _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' (SMulZeroClass.toSMul.{u3, u2} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (AddMonoid.toZero.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, u2} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' 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(CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))) (Algebra.toModule.{u3, u2} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6)))))) (SMulZeroClass.toSMul.{u3, u1} R B' (AddMonoid.toZero.{u1} B' (AddCommMonoid.toAddMonoid.{u1} B' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B' (Semiring.toNonAssocSemiring.{u1} B' _inst_2))))) 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(NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B' (Semiring.toNonAssocSemiring.{u1} B' _inst_2)))) (Module.toDistribMulAction.{u3, u2} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))) (Algebra.toModule.{u3, u2} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6))) (Module.toDistribMulAction.{u3, 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_inst_1)) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B' (Semiring.toNonAssocSemiring.{u1} B' _inst_2)) (Module.toDistribMulAction.{u3, u2} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))) (Algebra.toModule.{u3, u2} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6))) (Module.toDistribMulAction.{u3, u1} R B' (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B' (Semiring.toNonAssocSemiring.{u1} B' _inst_2))) (Algebra.toModule.{u3, u1} R B' _inst_3 _inst_2 _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, u2, u1, max u2 u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7 (AlgHom.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 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(NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B' (Semiring.toNonAssocSemiring.{u1} B' _inst_2)) (Module.toDistribMulAction.{u3, u2} R (Polynomial.{u2} A' 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(Algebra.toModule.{u3, u1} R B' _inst_3 _inst_2 _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, u2, u1, max u2 u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7 (AlgHom.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) (AlgHom.algHomClass.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7))))) g (Polynomial.X.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) -> (Eq.{max (succ u2) (succ u1)} (AlgHom.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) f g)
+  forall {R : Type.{u3}} {A' : Type.{u2}} {B' : Type.{u1}} [_inst_1 : CommSemiring.{u2} A'] [_inst_2 : Semiring.{u1} B'] [_inst_3 : CommSemiring.{u3} R] [_inst_6 : Algebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1)] [_inst_7 : Algebra.{u3, u1} R B' _inst_3 _inst_2] {f : AlgHom.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7} {g : AlgHom.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7}, (Eq.{max (succ u2) (succ u1)} (AlgHom.{u3, u2, u1} R A' B' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_2 _inst_6 _inst_7) (AlgHom.comp.{u3, u2, u2, u1} R A' (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 _inst_6 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7 f (IsScalarTower.toAlgHom.{u3, u2, u2} R A' (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_3 _inst_1 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_6 (Polynomial.algebraOfAlgebra.{u2, u2} A' A' _inst_1 (CommSemiring.toSemiring.{u2} A' _inst_1) (Algebra.id.{u2} A' _inst_1)) (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) (Polynomial.isScalarTower.{u2, u3, u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1) R A' (Algebra.toSMul.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) (SMulWithZero.toSMulZeroClass.{u3, 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(x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) => B') _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' (SMulZeroClass.toSMul.{u3, u2} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (AddMonoid.toZero.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, u2} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, u2} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))))) (Module.toDistribMulAction.{u3, u2} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))) (Algebra.toModule.{u3, u2} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6)))))) (SMulZeroClass.toSMul.{u3, u1} R B' (AddMonoid.toZero.{u1} B' (AddCommMonoid.toAddMonoid.{u1} B' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B' (Semiring.toNonAssocSemiring.{u1} B' _inst_2))))) (DistribSMul.toSMulZeroClass.{u3, u1} R B' (AddMonoid.toAddZeroClass.{u1} B' (AddCommMonoid.toAddMonoid.{u1} B' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B' (Semiring.toNonAssocSemiring.{u1} B' _inst_2))))) (DistribMulAction.toDistribSMul.{u3, u1} R B' (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))) (AddCommMonoid.toAddMonoid.{u1} B' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B' (Semiring.toNonAssocSemiring.{u1} B' _inst_2)))) (Module.toDistribMulAction.{u3, u1} R B' (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B' (Semiring.toNonAssocSemiring.{u1} B' _inst_2))) (Algebra.toModule.{u3, u1} R B' _inst_3 _inst_2 _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))))) (AddCommMonoid.toAddMonoid.{u1} B' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B' (Semiring.toNonAssocSemiring.{u1} B' _inst_2)))) (Module.toDistribMulAction.{u3, u2} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))) (Algebra.toModule.{u3, u2} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6))) (Module.toDistribMulAction.{u3, u1} R B' (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B' (Semiring.toNonAssocSemiring.{u1} B' _inst_2))) (Algebra.toModule.{u3, u1} R B' _inst_3 _inst_2 _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B' (Semiring.toNonAssocSemiring.{u1} B' _inst_2)) (Module.toDistribMulAction.{u3, u2} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))) (Algebra.toModule.{u3, u2} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6))) (Module.toDistribMulAction.{u3, u1} R B' (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B' (Semiring.toNonAssocSemiring.{u1} B' _inst_2))) (Algebra.toModule.{u3, u1} R B' _inst_3 _inst_2 _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, u2, u1, max u2 u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7 (AlgHom.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) (AlgHom.algHomClass.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7))))) g (Polynomial.X.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) -> (Eq.{max (succ u2) (succ u1)} (AlgHom.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) f g)
 Case conversion may be inaccurate. Consider using '#align polynomial.alg_hom_ext' Polynomial.algHom_ext'ₓ'. -/
 /-- Extensionality lemma for algebra maps out of `A'[X]` over a smaller base ring than `A'`
 -/
@@ -160,7 +160,7 @@ instance [Nontrivial A] : Nontrivial (Subalgebra R A[X]) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_6 : CommSemiring.{u1} R] [_inst_7 : Semiring.{u2} A] [_inst_8 : Semiring.{u3} B] [_inst_9 : Algebra.{u1, u2} R A _inst_6 _inst_7] [_inst_10 : Algebra.{u1, u3} R B _inst_6 _inst_8] (p : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_6)) (f : AlgHom.{u1, u2, u3} R A B _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) (a : A), Eq.{succ u3} B (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AlgHom.{u1, u2, u3} R A B _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) (fun (_x : AlgHom.{u1, u2, u3} R A B _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) => A -> B) ([anonymous].{u1, u2, u3} R A B _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) f (Polynomial.eval₂.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_6) _inst_7 (algebraMap.{u1, u2} R A _inst_6 _inst_7 _inst_9) a p)) (Polynomial.eval₂.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_6) _inst_8 (algebraMap.{u1, u3} R B _inst_6 _inst_8 _inst_10) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AlgHom.{u1, u2, u3} R A B _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) (fun (_x : AlgHom.{u1, u2, u3} R A B _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) => A -> B) ([anonymous].{u1, u2, u3} R A B _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) f a) p)
 but is expected to have type
-  forall {R : Type.{u3}} {A : Type.{u2}} {B : Type.{u1}} [_inst_6 : CommSemiring.{u3} R] [_inst_7 : Semiring.{u2} A] [_inst_8 : Semiring.{u1} B] [_inst_9 : Algebra.{u3, u2} R A _inst_6 _inst_7] [_inst_10 : Algebra.{u3, u1} R B _inst_6 _inst_8] (p : Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6)) (f : AlgHom.{u3, u2, u1} R A B _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) (a : A), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) (Polynomial.eval₂.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_6) _inst_7 (algebraMap.{u3, u2} R A _inst_6 _inst_7 _inst_9) a p)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AlgHom.{u3, u2, u1} R A B _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} R A B _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) R A B (SMulZeroClass.toSMul.{u3, u2} R A (AddMonoid.toZero.{u2} 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(Semiring.toNonAssocSemiring.{u2} A _inst_7))) (Algebra.toModule.{u3, u2} R A _inst_6 _inst_7 _inst_9))))) (SMulZeroClass.toSMul.{u3, u1} R B (AddMonoid.toZero.{u1} B (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_8))))) (DistribSMul.toSMulZeroClass.{u3, u1} R B (AddMonoid.toAddZeroClass.{u1} B (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_8))))) (DistribMulAction.toDistribSMul.{u3, u1} R B (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_8)))) (Module.toDistribMulAction.{u3, u1} R B (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_8))) (Algebra.toModule.{u3, u1} R B _inst_6 _inst_8 _inst_10))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} R A B _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) R A B (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_7)))) (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_8)))) (Module.toDistribMulAction.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_7))) (Algebra.toModule.{u3, u2} R A _inst_6 _inst_7 _inst_9)) (Module.toDistribMulAction.{u3, u1} R B (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_8))) (Algebra.toModule.{u3, u1} R B _inst_6 _inst_8 _inst_10)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} R A B _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) R A B (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_7)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_8)) (Module.toDistribMulAction.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_7))) (Algebra.toModule.{u3, u2} R A _inst_6 _inst_7 _inst_9)) (Module.toDistribMulAction.{u3, u1} R B (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_8))) (Algebra.toModule.{u3, u1} R B _inst_6 _inst_8 _inst_10)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, u2, u1, max u2 u1} R A B _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 (AlgHom.{u3, u2, u1} R A B _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) (AlgHom.algHomClass.{u3, u2, u1} R A B _inst_6 _inst_7 _inst_8 _inst_9 _inst_10))))) f (Polynomial.eval₂.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_6) _inst_7 (algebraMap.{u3, u2} R A _inst_6 _inst_7 _inst_9) a p)) (Polynomial.eval₂.{u3, u1} R B (CommSemiring.toSemiring.{u3} R _inst_6) _inst_8 (algebraMap.{u3, u1} R B _inst_6 _inst_8 _inst_10) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AlgHom.{u3, u2, u1} R A B _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} R A B _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) R A B (SMulZeroClass.toSMul.{u3, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_7))))) (DistribSMul.toSMulZeroClass.{u3, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_7))))) (DistribMulAction.toDistribSMul.{u3, u2} R A (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_7)))) (Module.toDistribMulAction.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_7))) (Algebra.toModule.{u3, u2} R A _inst_6 _inst_7 _inst_9))))) (SMulZeroClass.toSMul.{u3, u1} R B (AddMonoid.toZero.{u1} B (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_8))))) (DistribSMul.toSMulZeroClass.{u3, u1} R B (AddMonoid.toAddZeroClass.{u1} B (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_8))))) (DistribMulAction.toDistribSMul.{u3, u1} R B (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_8)))) (Module.toDistribMulAction.{u3, u1} R B (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_8))) (Algebra.toModule.{u3, u1} R B _inst_6 _inst_8 _inst_10))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} R A B _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) R A B (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_7)))) (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_8)))) (Module.toDistribMulAction.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_7))) (Algebra.toModule.{u3, u2} R A _inst_6 _inst_7 _inst_9)) (Module.toDistribMulAction.{u3, u1} R B (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_8))) (Algebra.toModule.{u3, u1} R B _inst_6 _inst_8 _inst_10)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} R A B _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) R A B (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_7)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_8)) (Module.toDistribMulAction.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_7))) (Algebra.toModule.{u3, u2} R A _inst_6 _inst_7 _inst_9)) (Module.toDistribMulAction.{u3, u1} R B (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_8))) (Algebra.toModule.{u3, u1} R B _inst_6 _inst_8 _inst_10)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, u2, u1, max u2 u1} R A B _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 (AlgHom.{u3, u2, u1} R A B _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) (AlgHom.algHomClass.{u3, u2, u1} R A B _inst_6 _inst_7 _inst_8 _inst_9 _inst_10))))) f a) p)
+  forall {R : Type.{u3}} {A : Type.{u2}} {B : Type.{u1}} [_inst_6 : CommSemiring.{u3} R] [_inst_7 : Semiring.{u2} A] [_inst_8 : Semiring.{u1} B] [_inst_9 : Algebra.{u3, u2} R A _inst_6 _inst_7] [_inst_10 : Algebra.{u3, u1} R B _inst_6 _inst_8] (p : Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6)) (f : AlgHom.{u3, u2, u1} R A B _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) (a : A), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) (Polynomial.eval₂.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_6) _inst_7 (algebraMap.{u3, u2} R A _inst_6 _inst_7 _inst_9) a p)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AlgHom.{u3, u2, u1} R A B _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} R A B _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) R A B (SMulZeroClass.toSMul.{u3, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_7))))) (DistribSMul.toSMulZeroClass.{u3, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_7))))) (DistribMulAction.toDistribSMul.{u3, u2} R A (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_7)))) (Module.toDistribMulAction.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_7))) (Algebra.toModule.{u3, u2} R A _inst_6 _inst_7 _inst_9))))) (SMulZeroClass.toSMul.{u3, u1} R B (AddMonoid.toZero.{u1} B (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_8))))) (DistribSMul.toSMulZeroClass.{u3, u1} R B (AddMonoid.toAddZeroClass.{u1} B (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_8))))) (DistribMulAction.toDistribSMul.{u3, u1} R B (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_8)))) (Module.toDistribMulAction.{u3, u1} R B (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_8))) (Algebra.toModule.{u3, u1} R B _inst_6 _inst_8 _inst_10))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} R A B _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) R A B (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_7)))) (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_8)))) (Module.toDistribMulAction.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_7))) (Algebra.toModule.{u3, u2} R A _inst_6 _inst_7 _inst_9)) (Module.toDistribMulAction.{u3, u1} R B (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_8))) (Algebra.toModule.{u3, u1} R B _inst_6 _inst_8 _inst_10)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} R A B _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) R A B (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_7)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_8)) (Module.toDistribMulAction.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_7))) (Algebra.toModule.{u3, u2} R A _inst_6 _inst_7 _inst_9)) (Module.toDistribMulAction.{u3, u1} R B (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_8))) (Algebra.toModule.{u3, u1} R B _inst_6 _inst_8 _inst_10)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, u2, u1, max u2 u1} R A B _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 (AlgHom.{u3, u2, u1} R A B _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) (AlgHom.algHomClass.{u3, u2, u1} R A B _inst_6 _inst_7 _inst_8 _inst_9 _inst_10))))) f (Polynomial.eval₂.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_6) _inst_7 (algebraMap.{u3, u2} R A _inst_6 _inst_7 _inst_9) a p)) (Polynomial.eval₂.{u3, u1} R B (CommSemiring.toSemiring.{u3} R _inst_6) _inst_8 (algebraMap.{u3, u1} R B _inst_6 _inst_8 _inst_10) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AlgHom.{u3, u2, u1} R A B _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} R A B _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) R A B (SMulZeroClass.toSMul.{u3, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_7))))) (DistribSMul.toSMulZeroClass.{u3, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_7))))) (DistribMulAction.toDistribSMul.{u3, u2} R A (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_7)))) (Module.toDistribMulAction.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_7))) (Algebra.toModule.{u3, u2} R A _inst_6 _inst_7 _inst_9))))) (SMulZeroClass.toSMul.{u3, u1} R B (AddMonoid.toZero.{u1} B (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_8))))) (DistribSMul.toSMulZeroClass.{u3, u1} R B (AddMonoid.toAddZeroClass.{u1} B (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_8))))) (DistribMulAction.toDistribSMul.{u3, u1} R B (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_8)))) (Module.toDistribMulAction.{u3, u1} R B (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_8))) (Algebra.toModule.{u3, u1} R B _inst_6 _inst_8 _inst_10))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} R A B _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) R A B (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_7)))) (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_8)))) (Module.toDistribMulAction.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_7))) (Algebra.toModule.{u3, u2} R A _inst_6 _inst_7 _inst_9)) (Module.toDistribMulAction.{u3, u1} R B (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_8))) (Algebra.toModule.{u3, u1} R B _inst_6 _inst_8 _inst_10)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} R A B _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) R A B (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_7)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_8)) (Module.toDistribMulAction.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_7))) (Algebra.toModule.{u3, u2} R A _inst_6 _inst_7 _inst_9)) (Module.toDistribMulAction.{u3, u1} R B (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_8))) (Algebra.toModule.{u3, u1} R B _inst_6 _inst_8 _inst_10)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, u2, u1, max u2 u1} R A B _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 (AlgHom.{u3, u2, u1} R A B _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) (AlgHom.algHomClass.{u3, u2, u1} R A B _inst_6 _inst_7 _inst_8 _inst_9 _inst_10))))) f a) p)
 Case conversion may be inaccurate. Consider using '#align polynomial.alg_hom_eval₂_algebra_map Polynomial.algHom_eval₂_algebraMapₓ'. -/
 @[simp]
 theorem algHom_eval₂_algebraMap {R A B : Type _} [CommSemiring R] [Semiring A] [Semiring B]
@@ -175,7 +175,7 @@ theorem algHom_eval₂_algebraMap {R A B : Type _} [CommSemiring R] [Semiring A]
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_6 : CommSemiring.{u1} R] [_inst_7 : Semiring.{u2} A] [_inst_8 : Algebra.{u1, u2} R A _inst_6 _inst_7] (p : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_6)) (f : AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_6)) A _inst_6 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_6 (CommSemiring.toSemiring.{u1} R _inst_6) (Algebra.id.{u1} R _inst_6)) _inst_8), Eq.{succ u2} A (Polynomial.eval₂.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_6) _inst_7 (algebraMap.{u1, u2} R A _inst_6 _inst_7 _inst_8) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_6)) A _inst_6 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_6 (CommSemiring.toSemiring.{u1} R _inst_6) (Algebra.id.{u1} R _inst_6)) _inst_8) (fun (_x : AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_6)) A _inst_6 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_6 (CommSemiring.toSemiring.{u1} R _inst_6) (Algebra.id.{u1} R _inst_6)) _inst_8) => (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_6)) -> A) ([anonymous].{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_6)) A _inst_6 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_6 (CommSemiring.toSemiring.{u1} R _inst_6) (Algebra.id.{u1} R _inst_6)) _inst_8) f (Polynomial.X.{u1} R (CommSemiring.toSemiring.{u1} R _inst_6))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_6)) A _inst_6 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_6 (CommSemiring.toSemiring.{u1} R _inst_6) (Algebra.id.{u1} R _inst_6)) _inst_8) (fun (_x : AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_6)) A _inst_6 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_6 (CommSemiring.toSemiring.{u1} R _inst_6) (Algebra.id.{u1} R _inst_6)) _inst_8) => (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_6)) -> A) ([anonymous].{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_6)) A _inst_6 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_6 (CommSemiring.toSemiring.{u1} R _inst_6) (Algebra.id.{u1} R _inst_6)) _inst_8) f p)
 but is expected to have type
-  forall {R : Type.{u2}} {A : Type.{u1}} [_inst_6 : CommSemiring.{u2} R] [_inst_7 : Semiring.{u1} A] [_inst_8 : Algebra.{u2, u1} R A _inst_6 _inst_7] (p : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (f : AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)) _inst_8), Eq.{succ u1} A (Polynomial.eval₂.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_6) _inst_7 (algebraMap.{u2, u1} R A _inst_6 _inst_7 _inst_8) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)) _inst_8) (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (fun (_x : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) => A) _x) (SMulHomClass.toFunLike.{max u2 u1, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)) _inst_8) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A (SMulZeroClass.toSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6))))))) (DistribSMul.toSMulZeroClass.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6))))))) (DistribMulAction.toDistribSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (CommSemiring.toSemiring.{u2} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6))))))) (SMulZeroClass.toSMul.{u2, u1} R A (AddMonoid.toZero.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_7))))) (DistribSMul.toSMulZeroClass.{u2, u1} R A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_7))))) (DistribMulAction.toDistribSMul.{u2, u1} R A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6))) (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_7)))) (Module.toDistribMulAction.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_7))) (Algebra.toModule.{u2, u1} R A _inst_6 _inst_7 _inst_8))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)) _inst_8) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)))))) (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_7)))) 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(AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, u1, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)) _inst_8 (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)) _inst_8) (AlgHom.algHomClass.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)) _inst_8))))) f p)
+  forall {R : Type.{u2}} {A : Type.{u1}} [_inst_6 : CommSemiring.{u2} R] [_inst_7 : Semiring.{u1} A] [_inst_8 : Algebra.{u2, u1} R A _inst_6 _inst_7] (p : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (f : AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)) _inst_8), Eq.{succ u1} A (Polynomial.eval₂.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_6) _inst_7 (algebraMap.{u2, u1} R A _inst_6 _inst_7 _inst_8) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)) _inst_8) (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (fun (_x : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) => A) _x) (SMulHomClass.toFunLike.{max u2 u1, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)) _inst_8) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A (SMulZeroClass.toSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6))))))) (DistribSMul.toSMulZeroClass.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6))))))) (DistribMulAction.toDistribSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (CommSemiring.toSemiring.{u2} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6))))))) (SMulZeroClass.toSMul.{u2, u1} R A (AddMonoid.toZero.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_7))))) (DistribSMul.toSMulZeroClass.{u2, u1} R A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_7))))) (DistribMulAction.toDistribSMul.{u2, u1} R A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6))) (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_7)))) (Module.toDistribMulAction.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_7))) (Algebra.toModule.{u2, u1} R A _inst_6 _inst_7 _inst_8))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)) _inst_8) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)))))) (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_7)))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (CommSemiring.toSemiring.{u2} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)))) (Module.toDistribMulAction.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_7))) (Algebra.toModule.{u2, u1} R A _inst_6 _inst_7 _inst_8)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)) _inst_8) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_7)) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (CommSemiring.toSemiring.{u2} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)))) (Module.toDistribMulAction.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_7))) (Algebra.toModule.{u2, u1} R A _inst_6 _inst_7 _inst_8)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, u1, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)) _inst_8 (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)) _inst_8) (AlgHom.algHomClass.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)) _inst_8))))) f (Polynomial.X.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6))) p) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)) _inst_8) (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (fun (_x : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) => A) _x) (SMulHomClass.toFunLike.{max u2 u1, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)) _inst_8) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A (SMulZeroClass.toSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6))))))) (DistribSMul.toSMulZeroClass.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6))))))) (DistribMulAction.toDistribSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (CommSemiring.toSemiring.{u2} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6))))))) (SMulZeroClass.toSMul.{u2, u1} R A (AddMonoid.toZero.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_7))))) (DistribSMul.toSMulZeroClass.{u2, u1} R A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_7))))) (DistribMulAction.toDistribSMul.{u2, u1} R A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6))) (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_7)))) (Module.toDistribMulAction.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_7))) (Algebra.toModule.{u2, u1} R A _inst_6 _inst_7 _inst_8))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)) _inst_8) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)))))) (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_7)))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (CommSemiring.toSemiring.{u2} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)))) (Module.toDistribMulAction.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_7))) (Algebra.toModule.{u2, u1} R A _inst_6 _inst_7 _inst_8)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)) _inst_8) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_7)) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (CommSemiring.toSemiring.{u2} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)))) (Module.toDistribMulAction.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_7))) (Algebra.toModule.{u2, u1} R A _inst_6 _inst_7 _inst_8)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, u1, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)) _inst_8 (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)) _inst_8) (AlgHom.algHomClass.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)) _inst_8))))) f p)
 Case conversion may be inaccurate. Consider using '#align polynomial.eval₂_algebra_map_X Polynomial.eval₂_algebraMap_Xₓ'. -/
 @[simp]
 theorem eval₂_algebraMap_X {R A : Type _} [CommSemiring R] [Semiring A] [Algebra R A] (p : R[X])
@@ -345,7 +345,7 @@ theorem aeval_mul : aeval x (p * q) = aeval x p * aeval x q :=
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_3 : CommSemiring.{u1} R] {p : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)} {q : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)} {A : Type.{u2}} [_inst_8 : CommSemiring.{u2} A] [_inst_9 : Algebra.{u1, u2} R A _inst_3 (CommSemiring.toSemiring.{u2} A _inst_8)] (x : A), Eq.{succ u2} A (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u2} A _inst_8) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9) (fun (_x : AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u2} A _inst_8) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9) => (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) -> A) ([anonymous].{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u2} A _inst_8) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9) (Polynomial.aeval.{u1, u2} R A _inst_3 (CommSemiring.toSemiring.{u2} A _inst_8) _inst_9 x) (Polynomial.comp.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3) p q)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u2} A _inst_8) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9) (fun (_x : AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u2} A _inst_8) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9) => (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) -> A) ([anonymous].{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u2} A _inst_8) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9) (Polynomial.aeval.{u1, u2} R A _inst_3 (CommSemiring.toSemiring.{u2} A _inst_8) _inst_9 (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u2} A _inst_8) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9) (fun (_x : AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u2} A _inst_8) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9) => (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) -> A) ([anonymous].{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u2} A _inst_8) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9) (Polynomial.aeval.{u1, u2} R A _inst_3 (CommSemiring.toSemiring.{u2} A _inst_8) _inst_9 x) q)) p)
 but is expected to have type
-  forall {R : Type.{u2}} [_inst_3 : CommSemiring.{u2} R] {p : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)} {q : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)} {A : Type.{u1}} [_inst_8 : CommSemiring.{u1} A] [_inst_9 : Algebra.{u2, u1} R A _inst_3 (CommSemiring.toSemiring.{u1} A _inst_8)] (x : A), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) (Polynomial.comp.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3) p q)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A _inst_8) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9) (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (fun (_x : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) _x) (SMulHomClass.toFunLike.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A _inst_8) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A (SMulZeroClass.toSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3))))))) (SMulZeroClass.toSMul.{u2, u1} R A (AddMonoid.toZero.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8)))))) (DistribSMul.toSMulZeroClass.{u2, u1} R A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8)))))) (DistribMulAction.toDistribSMul.{u2, u1} R A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8))))) (Module.toDistribMulAction.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8)))) (Algebra.toModule.{u2, u1} R A _inst_3 (CommSemiring.toSemiring.{u1} A _inst_8) _inst_9))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} 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A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8)))) (Algebra.toModule.{u2, u1} R A _inst_3 (CommSemiring.toSemiring.{u1} A _inst_8) _inst_9)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A _inst_8) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R 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(CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9 (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A _inst_8) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9) (AlgHom.algHomClass.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A _inst_8) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9))))) (Polynomial.aeval.{u2, u1} R A _inst_3 (CommSemiring.toSemiring.{u1} A _inst_8) _inst_9 x) (Polynomial.comp.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3) p q)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (AlgHom.{u2, u2, 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(x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (AddCommMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_8)))))) (DistribMulAction.toDistribSMul.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_8))))) (Module.toDistribMulAction.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_8)))) (Algebra.toModule.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_3 (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_8) _inst_9))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_8) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} 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Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_8))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R 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(x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_8)))) (Algebra.toModule.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_3 (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_8) _inst_9)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_8) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R 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_inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_8)))) (Algebra.toModule.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_3 (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_8) _inst_9)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, u1, max u1 u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} ((fun 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(Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 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(CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3))))))) (SMulZeroClass.toSMul.{u2, u1} R A (AddMonoid.toZero.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8)))))) (DistribSMul.toSMulZeroClass.{u2, u1} R A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8)))))) (DistribMulAction.toDistribSMul.{u2, u1} R A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8))))) (Module.toDistribMulAction.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8)))) (Algebra.toModule.{u2, u1} R A _inst_3 (CommSemiring.toSemiring.{u1} A _inst_8) _inst_9))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A _inst_8) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8)))) (Algebra.toModule.{u2, u1} R A _inst_3 (CommSemiring.toSemiring.{u1} A _inst_8) _inst_9)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A _inst_8) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8)))) (Algebra.toModule.{u2, u1} R A _inst_3 (CommSemiring.toSemiring.{u1} A _inst_8) _inst_9)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, u1, max u1 u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A _inst_8) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9 (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A _inst_8) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9) (AlgHom.algHomClass.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A _inst_8) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9))))) (Polynomial.aeval.{u2, u1} R A _inst_3 (CommSemiring.toSemiring.{u1} A _inst_8) _inst_9 x) q)) p)
+  forall {R : Type.{u2}} [_inst_3 : CommSemiring.{u2} R] {p : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)} {q : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)} {A : Type.{u1}} [_inst_8 : CommSemiring.{u1} A] [_inst_9 : Algebra.{u2, u1} R A _inst_3 (CommSemiring.toSemiring.{u1} A _inst_8)] (x : A), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) (Polynomial.comp.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3) p q)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A _inst_8) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9) (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (fun (_x : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) _x) (SMulHomClass.toFunLike.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A _inst_8) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A (SMulZeroClass.toSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3))))))) (SMulZeroClass.toSMul.{u2, u1} R A (AddMonoid.toZero.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8)))))) (DistribSMul.toSMulZeroClass.{u2, u1} R A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8)))))) (DistribMulAction.toDistribSMul.{u2, u1} R A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8))))) (Module.toDistribMulAction.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8)))) (Algebra.toModule.{u2, u1} R A _inst_3 (CommSemiring.toSemiring.{u1} A _inst_8) _inst_9))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} 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(CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9 (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A _inst_8) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9) (AlgHom.algHomClass.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A _inst_8) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9))))) (Polynomial.aeval.{u2, u1} R A _inst_3 (CommSemiring.toSemiring.{u1} A _inst_8) _inst_9 x) (Polynomial.comp.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3) p q)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (AlgHom.{u2, u2, 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(x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (AddCommMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_8)))))) (DistribMulAction.toDistribSMul.{u2, u1} R 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R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_8))))) (Module.toDistribMulAction.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_8)))) (Algebra.toModule.{u2, u1} R ((fun 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(CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_8) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R 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_inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_8)))) (Algebra.toModule.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_3 (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_8) _inst_9)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, u1, max u1 u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} ((fun 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(CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3))))))) (SMulZeroClass.toSMul.{u2, u1} R A (AddMonoid.toZero.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8)))))) (DistribSMul.toSMulZeroClass.{u2, u1} R A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8)))))) (DistribMulAction.toDistribSMul.{u2, u1} R A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8))))) (Module.toDistribMulAction.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8)))) (Algebra.toModule.{u2, u1} R A _inst_3 (CommSemiring.toSemiring.{u1} A _inst_8) _inst_9))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A _inst_8) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8)))) (Algebra.toModule.{u2, u1} R A _inst_3 (CommSemiring.toSemiring.{u1} A _inst_8) _inst_9)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A _inst_8) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8)))) (Algebra.toModule.{u2, u1} R A _inst_3 (CommSemiring.toSemiring.{u1} A _inst_8) _inst_9)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, u1, max u1 u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A _inst_8) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9 (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A _inst_8) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9) (AlgHom.algHomClass.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A _inst_8) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9))))) (Polynomial.aeval.{u2, u1} R A _inst_3 (CommSemiring.toSemiring.{u1} A _inst_8) _inst_9 x) q)) p)
 Case conversion may be inaccurate. Consider using '#align polynomial.aeval_comp Polynomial.aeval_compₓ'. -/
 theorem aeval_comp {A : Type _} [CommSemiring A] [Algebra R A] (x : A) :
     aeval x (p.comp q) = aeval (aeval x q) p :=
@@ -356,7 +356,7 @@ theorem aeval_comp {A : Type _} [CommSemiring A] [Algebra R A] (x : A) :
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_3 : CommSemiring.{u1} R] [_inst_4 : Semiring.{u2} A] [_inst_5 : Algebra.{u1, u2} R A _inst_3 _inst_4] {B : Type.{u3}} [_inst_6 : Semiring.{u3} B] [_inst_7 : Algebra.{u1, u3} R B _inst_3 _inst_6] (f : AlgHom.{u1, u2, u3} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) (x : A), Eq.{max (succ u1) (succ u3)} (AlgHom.{u1, u1, u3} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) B _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_6 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_7) (Polynomial.aeval.{u1, u3} R B _inst_3 _inst_6 _inst_7 (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AlgHom.{u1, u2, u3} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) (fun (_x : AlgHom.{u1, u2, u3} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) => A -> B) ([anonymous].{u1, u2, u3} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) f x)) (AlgHom.comp.{u1, u1, u2, u3} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A B _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 _inst_6 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5 _inst_7 f (Polynomial.aeval.{u1, u2} R A _inst_3 _inst_4 _inst_5 x))
 but is expected to have type
-  forall {R : Type.{u2}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u2} R] [_inst_4 : Semiring.{u3} A] [_inst_5 : Algebra.{u2, u3} R A _inst_3 _inst_4] {B : Type.{u1}} [_inst_6 : Semiring.{u1} B] [_inst_7 : Algebra.{u2, u1} R B _inst_3 _inst_6] (f : AlgHom.{u2, u3, u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) (x : A), Eq.{max (succ u2) (succ u1)} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_6 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_7) (Polynomial.aeval.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) _inst_3 _inst_6 _inst_7 (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (AlgHom.{u2, u3, u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) _x) (SMulHomClass.toFunLike.{max u3 u1, u2, u3, u1} (AlgHom.{u2, u3, u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) R A B (SMulZeroClass.toSMul.{u2, u3} R A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))))) (DistribSMul.toSMulZeroClass.{u2, u3} R A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))))) (DistribMulAction.toDistribSMul.{u2, u3} R A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4)))) (Module.toDistribMulAction.{u2, u3} R A (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (Algebra.toModule.{u2, u3} R A _inst_3 _inst_4 _inst_5))))) (SMulZeroClass.toSMul.{u2, u1} R B (AddMonoid.toZero.{u1} B (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6))))) (DistribSMul.toSMulZeroClass.{u2, u1} R B (AddMonoid.toAddZeroClass.{u1} B (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6))))) (DistribMulAction.toDistribSMul.{u2, u1} R B (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6)))) (Module.toDistribMulAction.{u2, u1} R B (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6))) (Algebra.toModule.{u2, u1} R B _inst_3 _inst_6 _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max u3 u1, u2, u3, u1} (AlgHom.{u2, u3, u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) R A B (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4)))) (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6)))) (Module.toDistribMulAction.{u2, u3} R A (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (Algebra.toModule.{u2, u3} R A _inst_3 _inst_4 _inst_5)) (Module.toDistribMulAction.{u2, u1} R B (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6))) (Algebra.toModule.{u2, u1} R B _inst_3 _inst_6 _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u3 u1, u2, u3, u1} (AlgHom.{u2, u3, u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) R A B (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6)) (Module.toDistribMulAction.{u2, u3} R A (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (Algebra.toModule.{u2, u3} R A _inst_3 _inst_4 _inst_5)) (Module.toDistribMulAction.{u2, u1} R B (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6))) (Algebra.toModule.{u2, u1} R B _inst_3 _inst_6 _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u3, u1, max u3 u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7 (AlgHom.{u2, u3, u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) (AlgHom.algHomClass.{u2, u3, u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7))))) f x)) (AlgHom.comp.{u2, u2, u3, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A B _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_4 _inst_6 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_5 _inst_7 f (Polynomial.aeval.{u2, u3} R A _inst_3 _inst_4 _inst_5 x))
+  forall {R : Type.{u2}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u2} R] [_inst_4 : Semiring.{u3} A] [_inst_5 : Algebra.{u2, u3} R A _inst_3 _inst_4] {B : Type.{u1}} [_inst_6 : Semiring.{u1} B] [_inst_7 : Algebra.{u2, u1} R B _inst_3 _inst_6] (f : AlgHom.{u2, u3, u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) (x : A), Eq.{max (succ u2) (succ u1)} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_6 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_7) (Polynomial.aeval.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) _inst_3 _inst_6 _inst_7 (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (AlgHom.{u2, u3, u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) _x) (SMulHomClass.toFunLike.{max u3 u1, u2, u3, u1} (AlgHom.{u2, u3, u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) R A B (SMulZeroClass.toSMul.{u2, u3} R A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))))) (DistribSMul.toSMulZeroClass.{u2, u3} R A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))))) (DistribMulAction.toDistribSMul.{u2, u3} R A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4)))) (Module.toDistribMulAction.{u2, u3} R A (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (Algebra.toModule.{u2, u3} R A _inst_3 _inst_4 _inst_5))))) (SMulZeroClass.toSMul.{u2, u1} R B (AddMonoid.toZero.{u1} B (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6))))) (DistribSMul.toSMulZeroClass.{u2, u1} R B (AddMonoid.toAddZeroClass.{u1} B (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6))))) (DistribMulAction.toDistribSMul.{u2, u1} R B (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6)))) (Module.toDistribMulAction.{u2, u1} R B (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6))) (Algebra.toModule.{u2, u1} R B _inst_3 _inst_6 _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max u3 u1, u2, u3, u1} (AlgHom.{u2, u3, u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) R A B (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4)))) (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6)))) (Module.toDistribMulAction.{u2, u3} R A (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (Algebra.toModule.{u2, u3} R A _inst_3 _inst_4 _inst_5)) (Module.toDistribMulAction.{u2, u1} R B (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6))) (Algebra.toModule.{u2, u1} R B _inst_3 _inst_6 _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u3 u1, u2, u3, u1} (AlgHom.{u2, u3, u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) R A B (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6)) (Module.toDistribMulAction.{u2, u3} R A (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (Algebra.toModule.{u2, u3} R A _inst_3 _inst_4 _inst_5)) (Module.toDistribMulAction.{u2, u1} R B (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6))) (Algebra.toModule.{u2, u1} R B _inst_3 _inst_6 _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u3, u1, max u3 u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7 (AlgHom.{u2, u3, u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) (AlgHom.algHomClass.{u2, u3, u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7))))) f x)) (AlgHom.comp.{u2, u2, u3, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A B _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_4 _inst_6 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_5 _inst_7 f (Polynomial.aeval.{u2, u3} R A _inst_3 _inst_4 _inst_5 x))
 Case conversion may be inaccurate. Consider using '#align polynomial.aeval_alg_hom Polynomial.aeval_algHomₓ'. -/
 theorem aeval_algHom (f : A →ₐ[R] B) (x : A) : aeval (f x) = f.comp (aeval x) :=
   algHom_ext <| by simp only [aeval_X, AlgHom.comp_apply]
@@ -385,7 +385,7 @@ theorem eval_unique (φ : R[X] →ₐ[R] A) (p) : φ p = eval₂ (algebraMap R A
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_3 : CommSemiring.{u1} R] [_inst_4 : Semiring.{u2} A] [_inst_5 : Algebra.{u1, u2} R A _inst_3 _inst_4] {B : Type.{u3}} [_inst_6 : Semiring.{u3} B] [_inst_7 : Algebra.{u1, u3} R B _inst_3 _inst_6] {F : Type.{u4}} [_inst_8 : AlgHomClass.{u4, u1, u2, u3} F R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7] (f : F) (x : A) (p : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)), Eq.{succ u3} B (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (AlgHom.{u1, u1, u3} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) B _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_6 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_7) (fun (_x : AlgHom.{u1, u1, u3} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) B _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_6 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_7) => (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) -> B) ([anonymous].{u1, u1, u3} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) B _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_6 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_7) (Polynomial.aeval.{u1, u3} R B _inst_3 _inst_6 _inst_7 (coeFn.{succ u4, max (succ u2) (succ u3)} F (fun (_x : F) => A -> B) (FunLike.hasCoeToFun.{succ u4, succ u2, succ u3} F A (fun (_x : A) => B) (SMulHomClass.toFunLike.{u4, u1, u2, u3} F R A B (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (DistribSMul.toSmulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))))) (DistribMulAction.toDistribSMul.{u1, u2} R A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (Algebra.toModule.{u1, u2} R A _inst_3 _inst_4 _inst_5))))) (SMulZeroClass.toHasSmul.{u1, u3} R B (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_6)))))) (DistribSMul.toSmulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_6))))) (DistribMulAction.toDistribSMul.{u1, u3} R B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_6)))) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_6))) (Algebra.toModule.{u1, u3} R B _inst_3 _inst_6 _inst_7))))) (DistribMulActionHomClass.toSmulHomClass.{u4, u1, u2, u3} F R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_6)))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (Algebra.toModule.{u1, u2} R A _inst_3 _inst_4 _inst_5)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_6))) (Algebra.toModule.{u1, u3} R B _inst_3 _inst_6 _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{u4, u1, u2, u3} F R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_6)) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (Algebra.toModule.{u1, u2} R A _inst_3 _inst_4 _inst_5)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_6))) (Algebra.toModule.{u1, u3} R B _inst_3 _inst_6 _inst_7)) (AlgHom.nonUnitalAlgHomClass.{u1, u2, u3, u4} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7 F _inst_8))))) f x)) p) (coeFn.{succ u4, max (succ u2) (succ u3)} F (fun (_x : F) => A -> B) (FunLike.hasCoeToFun.{succ u4, succ u2, succ u3} F A (fun (_x : A) => B) (SMulHomClass.toFunLike.{u4, u1, u2, u3} F R A B (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (DistribSMul.toSmulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 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(Semiring.toNonAssocSemiring.{u3} B _inst_6)))))) (DistribSMul.toSmulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_6))))) (DistribMulAction.toDistribSMul.{u1, u3} R B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_6)))) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_6))) (Algebra.toModule.{u1, u3} R B _inst_3 _inst_6 _inst_7))))) (DistribMulActionHomClass.toSmulHomClass.{u4, u1, u2, u3} F R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_6)))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (Algebra.toModule.{u1, u2} R A _inst_3 _inst_4 _inst_5)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_6))) (Algebra.toModule.{u1, u3} R B _inst_3 _inst_6 _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{u4, u1, u2, u3} F R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_6)) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (Algebra.toModule.{u1, u2} R A _inst_3 _inst_4 _inst_5)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_6))) (Algebra.toModule.{u1, u3} R B _inst_3 _inst_6 _inst_7)) (AlgHom.nonUnitalAlgHomClass.{u1, u2, u3, u4} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7 F _inst_8))))) f (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5) (fun (_x : AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5) => (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) -> A) ([anonymous].{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5) (Polynomial.aeval.{u1, u2} R A _inst_3 _inst_4 _inst_5 x) p))
 but is expected to have type
-  forall {R : Type.{u3}} {A : Type.{u4}} [_inst_3 : CommSemiring.{u3} R] [_inst_4 : Semiring.{u4} A] [_inst_5 : Algebra.{u3, u4} R A _inst_3 _inst_4] {B : Type.{u1}} [_inst_6 : Semiring.{u1} B] [_inst_7 : Algebra.{u3, u1} R B _inst_3 _inst_6] {F : Type.{u2}} [_inst_8 : AlgHomClass.{u2, u3, u4, u1} F R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7] (f : F) (x : A) (p : Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) p) (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u1} (AlgHom.{u3, u3, u1} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_6 (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 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(CommSemiring.toSemiring.{u3} R _inst_3)) (AddMonoid.toZero.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (AddCommMonoid.toAddMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u3, u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (AddMonoid.toAddZeroClass.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (AddCommMonoid.toAddMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R 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(x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) _inst_6)))) (Module.toDistribMulAction.{u3, u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))))) (Algebra.toModule.{u3, u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3)))) (Module.toDistribMulAction.{u3, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) 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_inst_4))))) (DistribMulAction.toDistribSMul.{u3, u4} R A (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))) (AddCommMonoid.toAddMonoid.{u4} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} A (Semiring.toNonAssocSemiring.{u4} A _inst_4)))) (Module.toDistribMulAction.{u3, u4} R A (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} A (Semiring.toNonAssocSemiring.{u4} A _inst_4))) (Algebra.toModule.{u3, u4} R A _inst_3 _inst_4 _inst_5))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u3, u3, u3, u4} (AlgHom.{u3, u3, u4} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) A _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3)) _inst_5) R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) A (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))) (AddCommMonoid.toAddMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)))))) (AddCommMonoid.toAddMonoid.{u4} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} A (Semiring.toNonAssocSemiring.{u4} A _inst_4)))) (Module.toDistribMulAction.{u3, u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))))) (Algebra.toModule.{u3, u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3)))) (Module.toDistribMulAction.{u3, u4} R A (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} A (Semiring.toNonAssocSemiring.{u4} A _inst_4))) (Algebra.toModule.{u3, u4} R A _inst_3 _inst_4 _inst_5)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u3, u3, u3, u4} (AlgHom.{u3, u3, u4} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) A _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3)) _inst_5) R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) A (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} A (Semiring.toNonAssocSemiring.{u4} A _inst_4)) (Module.toDistribMulAction.{u3, u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))))) (Algebra.toModule.{u3, u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3)))) (Module.toDistribMulAction.{u3, u4} R A (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} A (Semiring.toNonAssocSemiring.{u4} A _inst_4))) (Algebra.toModule.{u3, u4} R A _inst_3 _inst_4 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, u3, u4, max u4 u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) A _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3)) _inst_5 (AlgHom.{u3, u3, u4} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) A _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3)) _inst_5) (AlgHom.algHomClass.{u3, u3, u4} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) A _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3)) _inst_5))))) (Polynomial.aeval.{u3, u4} R A _inst_3 _inst_4 _inst_5 x) p))
+  forall {R : Type.{u3}} {A : Type.{u4}} [_inst_3 : CommSemiring.{u3} R] [_inst_4 : Semiring.{u4} A] [_inst_5 : Algebra.{u3, u4} R A _inst_3 _inst_4] {B : Type.{u1}} [_inst_6 : Semiring.{u1} B] [_inst_7 : Algebra.{u3, u1} R B _inst_3 _inst_6] {F : Type.{u2}} [_inst_8 : AlgHomClass.{u2, u3, u4, u1} F R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7] (f : F) (x : A) (p : Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) p) (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u1} (AlgHom.{u3, u3, u1} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_6 (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3)) _inst_7) (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (fun (_x : Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) _x) (SMulHomClass.toFunLike.{max u1 u3, u3, u3, u1} (AlgHom.{u3, u3, u1} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_6 (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3)) _inst_7) R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (SMulZeroClass.toSMul.{u3, u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (AddMonoid.toZero.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (AddCommMonoid.toAddMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u3, u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (AddMonoid.toAddZeroClass.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (AddCommMonoid.toAddMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u3, u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))) (AddCommMonoid.toAddMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)))))) (Module.toDistribMulAction.{u3, u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))))) (Algebra.toModule.{u3, u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3))))))) (SMulZeroClass.toSMul.{u3, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (AddMonoid.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (AddCommMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) _inst_6))))) (DistribSMul.toSMulZeroClass.{u3, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (AddMonoid.toAddZeroClass.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (AddCommMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) _inst_6))))) (DistribMulAction.toDistribSMul.{u3, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))) (AddCommMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) _inst_6)))) (Module.toDistribMulAction.{u3, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) _inst_6))) (Algebra.toModule.{u3, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) _inst_3 _inst_6 _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u3, u3, u3, u1} (AlgHom.{u3, u3, u1} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_6 (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3)) _inst_7) R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))) (AddCommMonoid.toAddMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)))))) (AddCommMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) (Semiring.toNonAssocSemiring.{u1} ((fun 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Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) => A) _x) (SMulHomClass.toFunLike.{max u4 u3, u3, u3, u4} (AlgHom.{u3, u3, u4} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) A _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3)) _inst_5) R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) A (SMulZeroClass.toSMul.{u3, u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (AddMonoid.toZero.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (AddCommMonoid.toAddMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u3, u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (AddMonoid.toAddZeroClass.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (AddCommMonoid.toAddMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u3, u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))) (AddCommMonoid.toAddMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)))))) (Module.toDistribMulAction.{u3, u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (Polynomial.{u3} R 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_inst_4))))) (DistribMulAction.toDistribSMul.{u3, u4} R A (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))) (AddCommMonoid.toAddMonoid.{u4} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} A (Semiring.toNonAssocSemiring.{u4} A _inst_4)))) (Module.toDistribMulAction.{u3, u4} R A (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} A (Semiring.toNonAssocSemiring.{u4} A _inst_4))) (Algebra.toModule.{u3, u4} R A _inst_3 _inst_4 _inst_5))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u3, u3, u3, u4} (AlgHom.{u3, u3, u4} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) A _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3)) _inst_5) R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) A (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))) (AddCommMonoid.toAddMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)))))) (AddCommMonoid.toAddMonoid.{u4} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} A (Semiring.toNonAssocSemiring.{u4} A _inst_4)))) (Module.toDistribMulAction.{u3, u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))))) (Algebra.toModule.{u3, u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3)))) (Module.toDistribMulAction.{u3, u4} R A (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} A (Semiring.toNonAssocSemiring.{u4} A _inst_4))) (Algebra.toModule.{u3, u4} R A _inst_3 _inst_4 _inst_5)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u3, u3, u3, u4} (AlgHom.{u3, u3, u4} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) A _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3)) _inst_5) R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) A (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} A (Semiring.toNonAssocSemiring.{u4} A _inst_4)) (Module.toDistribMulAction.{u3, u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))))) (Algebra.toModule.{u3, u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3)))) (Module.toDistribMulAction.{u3, u4} R A (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} A (Semiring.toNonAssocSemiring.{u4} A _inst_4))) (Algebra.toModule.{u3, u4} R A _inst_3 _inst_4 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, u3, u4, max u4 u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) A _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3)) _inst_5 (AlgHom.{u3, u3, u4} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) A _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3)) _inst_5) (AlgHom.algHomClass.{u3, u3, u4} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) A _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3)) _inst_5))))) (Polynomial.aeval.{u3, u4} R A _inst_3 _inst_4 _inst_5 x) p))
 Case conversion may be inaccurate. Consider using '#align polynomial.aeval_alg_hom_apply Polynomial.aeval_algHom_applyₓ'. -/
 theorem aeval_algHom_apply {F : Type _} [AlgHomClass F R A B] (f : F) (x : A) (p : R[X]) :
     aeval (f x) p = f (aeval x p) :=
@@ -398,7 +398,7 @@ theorem aeval_algHom_apply {F : Type _} [AlgHomClass F R A B] (f : F) (x : A) (p
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_3 : CommSemiring.{u1} R] [_inst_4 : Semiring.{u2} A] [_inst_5 : Algebra.{u1, u2} R A _inst_3 _inst_4] {B : Type.{u3}} [_inst_6 : Semiring.{u3} B] [_inst_7 : Algebra.{u1, u3} R B _inst_3 _inst_6] (f : AlgEquiv.{u1, u2, u3} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) (x : A), Eq.{max (succ u1) (succ u3)} (AlgHom.{u1, u1, u3} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) B _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_6 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_7) (Polynomial.aeval.{u1, u3} R B _inst_3 _inst_6 _inst_7 (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AlgEquiv.{u1, u2, u3} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) (fun (_x : AlgEquiv.{u1, u2, u3} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) => A -> B) (AlgEquiv.hasCoeToFun.{u1, u2, u3} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) f x)) (AlgHom.comp.{u1, u1, u2, u3} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A B _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 _inst_6 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5 _inst_7 ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (AlgEquiv.{u1, u2, u3} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) (AlgHom.{u1, u2, u3} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AlgEquiv.{u1, u2, u3} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) (AlgHom.{u1, u2, u3} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AlgEquiv.{u1, u2, u3} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) (AlgHom.{u1, u2, u3} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) (AlgHomClass.coeTC.{u1, u2, u3, max u2 u3} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7 (AlgEquiv.{u1, u2, u3} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) (AlgEquivClass.toAlgHomClass.{max u2 u3, u1, u2, u3} (AlgEquiv.{u1, u2, u3} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7 (AlgEquiv.algEquivClass.{u1, u2, u3} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7))))) f) (Polynomial.aeval.{u1, u2} R A _inst_3 _inst_4 _inst_5 x))
 but is expected to have type
-  forall {R : Type.{u2}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u2} R] [_inst_4 : Semiring.{u3} A] [_inst_5 : Algebra.{u2, u3} R A _inst_3 _inst_4] {B : Type.{u1}} [_inst_6 : Semiring.{u1} B] [_inst_7 : Algebra.{u2, u1} R B _inst_3 _inst_6] (f : AlgEquiv.{u2, u3, u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) (x : A), Eq.{max (succ u2) (succ u1)} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_6 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_7) (Polynomial.aeval.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) _inst_3 _inst_6 _inst_7 (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (AlgEquiv.{u2, u3, u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) _x) (SMulHomClass.toFunLike.{max u3 u1, u2, u3, u1} (AlgEquiv.{u2, u3, u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) R A B (SMulZeroClass.toSMul.{u2, u3} R A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))))) (DistribSMul.toSMulZeroClass.{u2, u3} R A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))))) (DistribMulAction.toDistribSMul.{u2, u3} R A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4)))) (Module.toDistribMulAction.{u2, u3} R A (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (Algebra.toModule.{u2, u3} R A _inst_3 _inst_4 _inst_5))))) (SMulZeroClass.toSMul.{u2, u1} R B (AddMonoid.toZero.{u1} B (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6))))) (DistribSMul.toSMulZeroClass.{u2, u1} R B (AddMonoid.toAddZeroClass.{u1} B (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6))))) (DistribMulAction.toDistribSMul.{u2, u1} R B (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6)))) (Module.toDistribMulAction.{u2, u1} R B (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6))) (Algebra.toModule.{u2, u1} R B _inst_3 _inst_6 _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max u3 u1, u2, u3, u1} (AlgEquiv.{u2, u3, u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) R A B (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4)))) (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6)))) (Module.toDistribMulAction.{u2, u3} R A (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (Algebra.toModule.{u2, u3} R A _inst_3 _inst_4 _inst_5)) (Module.toDistribMulAction.{u2, u1} R B (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6))) (Algebra.toModule.{u2, u1} R B _inst_3 _inst_6 _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u3 u1, u2, u3, u1} (AlgEquiv.{u2, u3, u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) R A B (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6)) (Module.toDistribMulAction.{u2, u3} R A (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (Algebra.toModule.{u2, u3} R A _inst_3 _inst_4 _inst_5)) (Module.toDistribMulAction.{u2, u1} R B (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6))) (Algebra.toModule.{u2, u1} R B _inst_3 _inst_6 _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u3, u1, max u3 u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7 (AlgEquiv.{u2, u3, u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) (AlgEquivClass.toAlgHomClass.{max u3 u1, u2, u3, u1} (AlgEquiv.{u2, u3, u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7 (AlgEquiv.instAlgEquivClassAlgEquiv.{u2, u3, u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7)))))) f x)) (AlgHom.comp.{u2, u2, u3, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A B _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_4 _inst_6 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_5 _inst_7 (AlgHomClass.toAlgHom.{u2, u3, u1, max u3 u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7 (AlgEquiv.{u2, u3, u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) (AlgEquivClass.toAlgHomClass.{max u3 u1, u2, u3, u1} (AlgEquiv.{u2, u3, u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7 (AlgEquiv.instAlgEquivClassAlgEquiv.{u2, u3, u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7)) f) (Polynomial.aeval.{u2, u3} R A _inst_3 _inst_4 _inst_5 x))
+  forall {R : Type.{u2}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u2} R] [_inst_4 : Semiring.{u3} A] [_inst_5 : Algebra.{u2, u3} R A _inst_3 _inst_4] {B : Type.{u1}} [_inst_6 : Semiring.{u1} B] [_inst_7 : Algebra.{u2, u1} R B _inst_3 _inst_6] (f : AlgEquiv.{u2, u3, u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) (x : A), Eq.{max (succ u2) (succ u1)} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_6 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_7) (Polynomial.aeval.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) x) _inst_3 _inst_6 _inst_7 (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (AlgEquiv.{u2, u3, u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) _x) (SMulHomClass.toFunLike.{max u3 u1, u2, u3, u1} (AlgEquiv.{u2, u3, u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) R A B (SMulZeroClass.toSMul.{u2, u3} R A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))))) (DistribSMul.toSMulZeroClass.{u2, u3} R A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))))) (DistribMulAction.toDistribSMul.{u2, u3} R A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4)))) (Module.toDistribMulAction.{u2, u3} R A (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (Algebra.toModule.{u2, u3} R A _inst_3 _inst_4 _inst_5))))) (SMulZeroClass.toSMul.{u2, u1} R B (AddMonoid.toZero.{u1} B (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6))))) (DistribSMul.toSMulZeroClass.{u2, u1} R B (AddMonoid.toAddZeroClass.{u1} B (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6))))) (DistribMulAction.toDistribSMul.{u2, u1} R B (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6)))) (Module.toDistribMulAction.{u2, u1} R B (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6))) (Algebra.toModule.{u2, u1} R B _inst_3 _inst_6 _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max u3 u1, u2, u3, u1} (AlgEquiv.{u2, u3, u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) R A B (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4)))) (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6)))) (Module.toDistribMulAction.{u2, u3} R A (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (Algebra.toModule.{u2, u3} R A _inst_3 _inst_4 _inst_5)) (Module.toDistribMulAction.{u2, u1} R B (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6))) (Algebra.toModule.{u2, u1} R B _inst_3 _inst_6 _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u3 u1, u2, u3, u1} (AlgEquiv.{u2, u3, u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) R A B (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6)) (Module.toDistribMulAction.{u2, u3} R A (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (Algebra.toModule.{u2, u3} R A _inst_3 _inst_4 _inst_5)) (Module.toDistribMulAction.{u2, u1} R B (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6))) (Algebra.toModule.{u2, u1} R B _inst_3 _inst_6 _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u3, u1, max u3 u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7 (AlgEquiv.{u2, u3, u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) (AlgEquivClass.toAlgHomClass.{max u3 u1, u2, u3, u1} (AlgEquiv.{u2, u3, u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7 (AlgEquiv.instAlgEquivClassAlgEquiv.{u2, u3, u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7)))))) f x)) (AlgHom.comp.{u2, u2, u3, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A B _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_4 _inst_6 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_5 _inst_7 (AlgHomClass.toAlgHom.{u2, u3, u1, max u3 u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7 (AlgEquiv.{u2, u3, u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) (AlgEquivClass.toAlgHomClass.{max u3 u1, u2, u3, u1} (AlgEquiv.{u2, u3, u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7) R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7 (AlgEquiv.instAlgEquivClassAlgEquiv.{u2, u3, u1} R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7)) f) (Polynomial.aeval.{u2, u3} R A _inst_3 _inst_4 _inst_5 x))
 Case conversion may be inaccurate. Consider using '#align polynomial.aeval_alg_equiv Polynomial.aeval_algEquivₓ'. -/
 theorem aeval_algEquiv (f : A ≃ₐ[R] B) (x : A) : aeval (f x) = (f : A →ₐ[R] B).comp (aeval x) :=
   aeval_algHom (f : A →ₐ[R] B) x
@@ -434,7 +434,7 @@ theorem coe_aeval_eq_evalRingHom (x : R) :
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_3 : CommSemiring.{u1} R] {X : Type.{u2}} (g : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (f : X -> R) (x : X), Eq.{succ u1} R (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (AlgHom.{u1, u1, max u2 u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Pi.semiring.{u2, u1} X (fun (ᾰ : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) (Function.algebra.{u1, u2, u1} R X R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3))) (fun (_x : AlgHom.{u1, u1, max u2 u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Pi.semiring.{u2, u1} X (fun (ᾰ : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) (Function.algebra.{u1, u2, u1} R X R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3))) => (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) -> X -> R) ([anonymous].{u1, u1, max u2 u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Pi.semiring.{u2, u1} X (fun (ᾰ : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) (Function.algebra.{u1, u2, u1} R X R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3))) (Polynomial.aeval.{u1, max u2 u1} R (X -> R) _inst_3 (Pi.semiring.{u2, u1} X (fun (ᾰ : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u1} R _inst_3)) (Function.algebra.{u1, u2, u1} R X R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) f) g x) (coeFn.{succ u1, succ u1} (AlgHom.{u1, u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) R _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_3) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) (Algebra.id.{u1} R _inst_3)) (fun (_x : AlgHom.{u1, u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) R _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_3) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) (Algebra.id.{u1} R _inst_3)) => (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) -> R) ([anonymous].{u1, u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) R _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_3) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) (Algebra.id.{u1} R _inst_3)) (Polynomial.aeval.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3) (f x)) g)
 but is expected to have type
-  forall {R : Type.{u2}} [_inst_3 : CommSemiring.{u2} R] {X : Type.{u1}} (g : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (f : X -> R) (x : X), Eq.{succ u2} R (FunLike.coe.{max (succ u2) (succ u1), succ u2, max (succ u2) (succ u1)} (AlgHom.{u2, u2, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))) (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (fun (_x : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => X -> R) _x) (SMulHomClass.toFunLike.{max u2 u1, u2, u2, max u2 u1} (AlgHom.{u2, u2, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) (SMulZeroClass.toSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3))))))) (SMulZeroClass.toSMul.{u2, max u2 u1} R (X -> R) (AddMonoid.toZero.{max u2 u1} (X -> R) (AddCommMonoid.toAddMonoid.{max u2 u1} (X -> R) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u1} R (X -> R) (AddMonoid.toAddZeroClass.{max u2 u1} (X -> R) (AddCommMonoid.toAddMonoid.{max u2 u1} (X -> R) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u1} R (X -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{max u2 u1} (X -> R) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (X -> R) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, max u2 u1} R (X -> R) _inst_3 (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u2, u2, max u2 u1} (AlgHom.{u2, u2, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (AddCommMonoid.toAddMonoid.{max u2 u1} (X -> R) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, max u2 u1} R (X -> R) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, max u2 u1} R (X -> R) _inst_3 (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u2, u2, max u2 u1} (AlgHom.{u2, u2, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, max u2 u1} R (X -> R) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, max u2 u1} R (X -> R) _inst_3 (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3)))) 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_inst_3)))))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, u2} R R (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{u2, u2, u2, u2} (AlgHom.{u2, u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Algebra.id.{u2} R _inst_3)) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R 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(Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, u2} R R (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Algebra.id.{u2} R _inst_3) (AlgHom.{u2, u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Algebra.id.{u2} R _inst_3)) (AlgHom.algHomClass.{u2, u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Algebra.id.{u2} R _inst_3)))))) (Polynomial.aeval.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3) (f x)) g)
+  forall {R : Type.{u2}} [_inst_3 : CommSemiring.{u2} R] {X : Type.{u1}} (g : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (f : X -> R) (x : X), Eq.{succ u2} R (FunLike.coe.{max (succ u2) (succ u1), succ u2, max (succ u2) (succ u1)} (AlgHom.{u2, u2, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))) (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (fun (_x : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => X -> R) _x) (SMulHomClass.toFunLike.{max u2 u1, u2, u2, max u2 u1} (AlgHom.{u2, u2, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) (SMulZeroClass.toSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3))))))) (SMulZeroClass.toSMul.{u2, max u2 u1} R (X -> R) (AddMonoid.toZero.{max u2 u1} (X -> R) (AddCommMonoid.toAddMonoid.{max u2 u1} (X -> R) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u1} R (X -> R) (AddMonoid.toAddZeroClass.{max u2 u1} (X -> R) (AddCommMonoid.toAddMonoid.{max u2 u1} (X -> R) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u1} R (X -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{max u2 u1} (X -> R) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (X -> R) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, max u2 u1} R (X -> R) _inst_3 (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u2, u2, max u2 u1} (AlgHom.{u2, u2, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (AddCommMonoid.toAddMonoid.{max u2 u1} (X -> R) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, max u2 u1} R (X -> R) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, max u2 u1} R (X -> R) _inst_3 (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u2, u2, max u2 u1} (AlgHom.{u2, u2, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, max u2 u1} R (X -> R) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, max u2 u1} R (X -> R) _inst_3 (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, max u2 u1, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3)) (AlgHom.{u2, u2, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))) (AlgHom.algHomClass.{u2, u2, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))))))) (Polynomial.aeval.{u2, max u2 u1} R (X -> R) _inst_3 (Pi.semiring.{u1, u2} X (fun (ᾰ : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3)) f) g x) (FunLike.coe.{succ u2, succ u2, succ u2} (AlgHom.{u2, u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Algebra.id.{u2} R _inst_3)) (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (fun (_x : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => R) _x) (SMulHomClass.toFunLike.{u2, u2, u2, u2} (AlgHom.{u2, u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Algebra.id.{u2} R _inst_3)) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R (SMulZeroClass.toSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3))))))) (SMulZeroClass.toSMul.{u2, u2} R R (AddMonoid.toZero.{u2} R (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (DistribSMul.toSMulZeroClass.{u2, u2} R R (AddMonoid.toAddZeroClass.{u2} R (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (DistribMulAction.toDistribSMul.{u2, u2} R R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, u2} R R (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))))) (DistribMulActionHomClass.toSMulHomClass.{u2, u2, u2, u2} (AlgHom.{u2, u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Algebra.id.{u2} R _inst_3)) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, u2} R R (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{u2, u2, u2, u2} (AlgHom.{u2, u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Algebra.id.{u2} R _inst_3)) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, u2} R R (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Algebra.id.{u2} R _inst_3) (AlgHom.{u2, u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Algebra.id.{u2} R _inst_3)) (AlgHom.algHomClass.{u2, u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Algebra.id.{u2} R _inst_3)))))) (Polynomial.aeval.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3) (f x)) g)
 Case conversion may be inaccurate. Consider using '#align polynomial.aeval_fn_apply Polynomial.aeval_fn_applyₓ'. -/
 @[simp]
 theorem aeval_fn_apply {X : Type _} (g : R[X]) (f : X → R) (x : X) :
@@ -446,7 +446,7 @@ theorem aeval_fn_apply {X : Type _} (g : R[X]) (f : X → R) (x : X) :
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_3 : CommSemiring.{u1} R] (g : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) {A : Type.{u2}} [_inst_8 : Semiring.{u2} A] [_inst_9 : Algebra.{u1, u2} R A _inst_3 _inst_8] (s : Subalgebra.{u1, u2} R A _inst_3 _inst_8 _inst_9) (f : coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R A _inst_3 _inst_8 _inst_9) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.setLike.{u1, u2} R A _inst_3 _inst_8 _inst_9)) s), Eq.{succ u2} A ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R A _inst_3 _inst_8 _inst_9) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.setLike.{u1, u2} R A _inst_3 _inst_8 _inst_9)) s) A (HasLiftT.mk.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R A _inst_3 _inst_8 _inst_9) Type.{u2} 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 but is expected to have type
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_inst_8 _inst_9) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9)) x s)) _inst_3 (Subalgebra.toSemiring.{u2, u1} R A _inst_3 _inst_8 _inst_9 s) (Subalgebra.algebra.{u2, u1} R A _inst_3 _inst_8 _inst_9 s))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, u1, max u1 u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9)) x s)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) 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_inst_3 _inst_8 _inst_9 s) (Subalgebra.algebra.{u2, u1} R A _inst_3 _inst_8 _inst_9 s) f) g)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9) (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (fun (_x : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) _x) (SMulHomClass.toFunLike.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A (SMulZeroClass.toSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R 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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (Algebra.toModule.{u2, u1} R A _inst_3 _inst_8 _inst_9))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8)))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (Algebra.toModule.{u2, u1} R A _inst_3 _inst_8 _inst_9)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8)) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (Algebra.toModule.{u2, u1} R A _inst_3 _inst_8 _inst_9)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, u1, max u1 u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9 (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9) (AlgHom.algHomClass.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9))))) (Polynomial.aeval.{u2, u1} R A _inst_3 _inst_8 _inst_9 (Subtype.val.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Set.{u1} A) (Set.instMembershipSet.{u1} A) x (SetLike.coe.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) s)) f)) g)
+  forall {R : Type.{u2}} [_inst_3 : CommSemiring.{u2} R] (g : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) {A : Type.{u1}} [_inst_8 : Semiring.{u1} A] [_inst_9 : Algebra.{u2, u1} R A _inst_3 _inst_8] (s : Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (f : Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9)) x s)), Eq.{succ u1} A (Subtype.val.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Set.{u1} A) (Set.instMembershipSet.{u1} A) x (SetLike.coe.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) s)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Subtype.{succ u1} A (fun (x 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(CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3))))))) (SMulZeroClass.toSMul.{u2, u1} R (Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9)) x s)) (AddMonoid.toZero.{u1} (Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9)) x s)) (AddCommMonoid.toAddMonoid.{u1} (Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9)) x s)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9)) x s)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9)) x s)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9)) x s)) (Subalgebra.toSemiring.{u2, u1} R A _inst_3 _inst_8 _inst_9 s)))))) (DistribSMul.toSMulZeroClass.{u2, u1} R (Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9)) x s)) (AddMonoid.toAddZeroClass.{u1} (Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9)) x s)) (AddCommMonoid.toAddMonoid.{u1} (Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9)) x s)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9)) x s)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9)) x s)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9)) x s)) (Subalgebra.toSemiring.{u2, u1} R A _inst_3 _inst_8 _inst_9 s)))))) (DistribMulAction.toDistribSMul.{u2, u1} R (Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9)) x s)) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u1} (Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9)) x s)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9)) x s)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9)) x s)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9)) x s)) (Subalgebra.toSemiring.{u2, u1} R A _inst_3 _inst_8 _inst_9 s))))) (Module.toDistribMulAction.{u2, u1} R (Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (SetLike.instMembership.{u1, u1} 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_inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3))))))) 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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (Algebra.toModule.{u2, u1} R A _inst_3 _inst_8 _inst_9))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8)))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (Algebra.toModule.{u2, u1} R A _inst_3 _inst_8 _inst_9)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8)) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (Algebra.toModule.{u2, u1} R A _inst_3 _inst_8 _inst_9)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, u1, max u1 u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9 (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9) (AlgHom.algHomClass.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9))))) (Polynomial.aeval.{u2, u1} R A _inst_3 _inst_8 _inst_9 (Subtype.val.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Set.{u1} A) (Set.instMembershipSet.{u1} A) x (SetLike.coe.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) s)) f)) g)
 Case conversion may be inaccurate. Consider using '#align polynomial.aeval_subalgebra_coe Polynomial.aeval_subalgebra_coeₓ'. -/
 @[norm_cast]
 theorem aeval_subalgebra_coe (g : R[X]) {A : Type _} [Semiring A] [Algebra R A] (s : Subalgebra R A)
@@ -464,7 +464,7 @@ theorem coeff_zero_eq_aeval_zero (p : R[X]) : p.coeff 0 = aeval 0 p := by
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_3 : CommSemiring.{u1} R] [_inst_4 : Semiring.{u2} A] [_inst_5 : Algebra.{u1, u2} R A _inst_3 _inst_4] (p : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)), Eq.{succ u2} A (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4)) (algebraMap.{u1, u2} R A _inst_3 _inst_4 _inst_5) (Polynomial.coeff.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3) p (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5) (fun (_x : AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5) => (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) -> A) ([anonymous].{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5) (Polynomial.aeval.{u1, u2} R A _inst_3 _inst_4 _inst_5 (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))))) p)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_3 : CommSemiring.{u1} R] [_inst_4 : Semiring.{u2} A] [_inst_5 : Algebra.{u1, u2} R A _inst_3 _inst_4] (p : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) (Polynomial.coeff.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3) p (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4))))) (algebraMap.{u1, u2} R A _inst_3 _inst_4 _inst_5) (Polynomial.coeff.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3) p (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5) (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (fun (_x : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) => A) _x) (SMulHomClass.toFunLike.{max u2 u1, u1, u1, u2} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5) R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A (SMulZeroClass.toSMul.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (AddMonoid.toZero.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (AddCommMonoid.toAddMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (AddMonoid.toAddZeroClass.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (AddCommMonoid.toAddMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (AddCommMonoid.toAddMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))))) (Module.toDistribMulAction.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (Algebra.toModule.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3))))))) (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))))) (DistribMulAction.toDistribSMul.{u1, u2} R A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (Algebra.toModule.{u1, u2} R A _inst_3 _inst_4 _inst_5))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u1, u1, u2} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5) R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (AddCommMonoid.toAddMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))) (Module.toDistribMulAction.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (Algebra.toModule.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (Algebra.toModule.{u1, u2} R A _inst_3 _inst_4 _inst_5)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u1, u1, u2} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5) R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)) (Module.toDistribMulAction.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (Algebra.toModule.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (Algebra.toModule.{u1, u2} R A _inst_3 _inst_4 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u1, u2, max u2 u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5 (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5) (AlgHom.algHomClass.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5))))) (Polynomial.aeval.{u1, u2} R A _inst_3 _inst_4 _inst_5 (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4))))) p)
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_3 : CommSemiring.{u1} R] [_inst_4 : Semiring.{u2} A] [_inst_5 : Algebra.{u1, u2} R A _inst_3 _inst_4] (p : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) (Polynomial.coeff.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3) p (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4))))) (algebraMap.{u1, u2} R A _inst_3 _inst_4 _inst_5) (Polynomial.coeff.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3) p (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5) (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (fun (_x : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) => A) _x) (SMulHomClass.toFunLike.{max u2 u1, u1, u1, u2} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5) R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A (SMulZeroClass.toSMul.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (AddMonoid.toZero.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (AddCommMonoid.toAddMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (AddMonoid.toAddZeroClass.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (AddCommMonoid.toAddMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (AddCommMonoid.toAddMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))))) (Module.toDistribMulAction.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (Algebra.toModule.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3))))))) (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))))) (DistribMulAction.toDistribSMul.{u1, u2} R A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (Algebra.toModule.{u1, u2} R A _inst_3 _inst_4 _inst_5))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u1, u1, u2} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5) R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (AddCommMonoid.toAddMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))) (Module.toDistribMulAction.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (Algebra.toModule.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (Algebra.toModule.{u1, u2} R A _inst_3 _inst_4 _inst_5)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u1, u1, u2} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5) R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)) (Module.toDistribMulAction.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (Algebra.toModule.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (Algebra.toModule.{u1, u2} R A _inst_3 _inst_4 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u1, u2, max u2 u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5 (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5) (AlgHom.algHomClass.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5))))) (Polynomial.aeval.{u1, u2} R A _inst_3 _inst_4 _inst_5 (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4))))) p)
 Case conversion may be inaccurate. Consider using '#align polynomial.coeff_zero_eq_aeval_zero' Polynomial.coeff_zero_eq_aeval_zero'ₓ'. -/
 theorem coeff_zero_eq_aeval_zero' (p : R[X]) : algebraMap R A (p.coeff 0) = aeval (0 : A) p := by
   simp [aeval_def]
@@ -474,7 +474,7 @@ theorem coeff_zero_eq_aeval_zero' (p : R[X]) : algebraMap R A (p.coeff 0) = aeva
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_3 : CommSemiring.{u1} R] {S : Type.{u2}} {T : Type.{u3}} {U : Type.{u4}} [_inst_8 : CommSemiring.{u2} S] [_inst_9 : CommSemiring.{u3} T] [_inst_10 : Semiring.{u4} U] [_inst_11 : Algebra.{u1, u2} R S _inst_3 (CommSemiring.toSemiring.{u2} S _inst_8)] [_inst_12 : Algebra.{u3, u4} T U _inst_9 _inst_10] {φ : RingHom.{u1, u3} R T (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} T (CommSemiring.toSemiring.{u3} T _inst_9))} {ψ : RingHom.{u2, u4} S U (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8)) (Semiring.toNonAssocSemiring.{u4} U _inst_10)}, (Eq.{max (succ u1) (succ u4)} (RingHom.{u1, u4} R U (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u4} U _inst_10)) (RingHom.comp.{u1, u3, u4} R T U (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} T (CommSemiring.toSemiring.{u3} T _inst_9)) (Semiring.toNonAssocSemiring.{u4} U _inst_10) (algebraMap.{u3, u4} T U _inst_9 _inst_10 _inst_12) φ) (RingHom.comp.{u1, u2, u4} R S U (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8)) (Semiring.toNonAssocSemiring.{u4} U _inst_10) ψ (algebraMap.{u1, u2} R S _inst_3 (CommSemiring.toSemiring.{u2} S _inst_8) _inst_11))) -> (forall (p : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (a : S), Eq.{succ u4} U (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (RingHom.{u2, u4} S U (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8)) (Semiring.toNonAssocSemiring.{u4} U _inst_10)) (fun (_x : RingHom.{u2, u4} S U (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8)) (Semiring.toNonAssocSemiring.{u4} U _inst_10)) => S -> U) (RingHom.hasCoeToFun.{u2, u4} S U (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8)) (Semiring.toNonAssocSemiring.{u4} U _inst_10)) ψ (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) S _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u2} S _inst_8) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_11) (fun (_x : AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) S _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u2} S _inst_8) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_11) => (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) -> S) ([anonymous].{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) S _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u2} S _inst_8) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_11) (Polynomial.aeval.{u1, u2} R S _inst_3 (CommSemiring.toSemiring.{u2} S _inst_8) _inst_11 a) p)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (AlgHom.{u3, u3, u4} T (Polynomial.{u3} T (CommSemiring.toSemiring.{u3} T _inst_9)) U _inst_9 (Polynomial.semiring.{u3} T (CommSemiring.toSemiring.{u3} T _inst_9)) _inst_10 (Polynomial.algebraOfAlgebra.{u3, u3} T T _inst_9 (CommSemiring.toSemiring.{u3} T _inst_9) (Algebra.id.{u3} T _inst_9)) _inst_12) (fun (_x : AlgHom.{u3, u3, u4} T (Polynomial.{u3} T (CommSemiring.toSemiring.{u3} T _inst_9)) U _inst_9 (Polynomial.semiring.{u3} T (CommSemiring.toSemiring.{u3} T _inst_9)) _inst_10 (Polynomial.algebraOfAlgebra.{u3, u3} T T _inst_9 (CommSemiring.toSemiring.{u3} T _inst_9) (Algebra.id.{u3} T _inst_9)) _inst_12) => (Polynomial.{u3} T (CommSemiring.toSemiring.{u3} T _inst_9)) -> U) ([anonymous].{u3, u3, u4} T (Polynomial.{u3} T (CommSemiring.toSemiring.{u3} T _inst_9)) U _inst_9 (Polynomial.semiring.{u3} T (CommSemiring.toSemiring.{u3} T _inst_9)) _inst_10 (Polynomial.algebraOfAlgebra.{u3, u3} T T _inst_9 (CommSemiring.toSemiring.{u3} T _inst_9) (Algebra.id.{u3} T _inst_9)) _inst_12) (Polynomial.aeval.{u3, u4} T U _inst_9 _inst_10 _inst_12 (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (RingHom.{u2, u4} S U (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8)) (Semiring.toNonAssocSemiring.{u4} U _inst_10)) (fun (_x : RingHom.{u2, u4} S U (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8)) (Semiring.toNonAssocSemiring.{u4} U _inst_10)) => S -> U) (RingHom.hasCoeToFun.{u2, u4} S U (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8)) (Semiring.toNonAssocSemiring.{u4} U _inst_10)) ψ a)) (Polynomial.map.{u1, u3} R T (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} T _inst_9) φ p)))
 but is expected to have type
-  forall {R : Type.{u4}} [_inst_3 : CommSemiring.{u4} R] {S : Type.{u3}} {T : Type.{u2}} {U : Type.{u1}} [_inst_8 : CommSemiring.{u3} S] [_inst_9 : CommSemiring.{u2} T] [_inst_10 : Semiring.{u1} U] [_inst_11 : Algebra.{u4, u3} R S _inst_3 (CommSemiring.toSemiring.{u3} S _inst_8)] [_inst_12 : Algebra.{u2, u1} T U _inst_9 _inst_10] {φ : RingHom.{u4, u2} R T (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9))} {ψ : RingHom.{u3, u1} S U (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10)}, (Eq.{max (succ u4) (succ u1)} (RingHom.{u4, u1} R U (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} U _inst_10)) (RingHom.comp.{u4, u2, u1} R T U (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (Semiring.toNonAssocSemiring.{u1} U _inst_10) (algebraMap.{u2, u1} T U _inst_9 _inst_10 _inst_12) φ) (RingHom.comp.{u4, u3, u1} R S U (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10) ψ (algebraMap.{u4, u3} R S _inst_3 (CommSemiring.toSemiring.{u3} S _inst_8) _inst_11))) -> (forall (p : Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (a : S), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) (FunLike.coe.{max (succ u3) (succ u4), succ u4, succ u3} (AlgHom.{u4, u4, u3} R (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) S _inst_3 (Polynomial.semiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (CommSemiring.toSemiring.{u3} S _inst_8) (Polynomial.algebraOfAlgebra.{u4, u4} R R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_3) (Algebra.id.{u4} R _inst_3)) _inst_11) (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (fun (a : Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) => S) a) (SMulHomClass.toFunLike.{max u3 u4, u4, u4, u3} (AlgHom.{u4, u4, u3} R (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) S _inst_3 (Polynomial.semiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (CommSemiring.toSemiring.{u3} S _inst_8) (Polynomial.algebraOfAlgebra.{u4, u4} R R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_3) (Algebra.id.{u4} R _inst_3)) _inst_11) R (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) S (SMulZeroClass.toSMul.{u4, u4} R (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (AddMonoid.toZero.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (AddCommMonoid.toAddMonoid.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) 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(CommSemiring.toSemiring.{u4} R _inst_3)) (Polynomial.algebraOfAlgebra.{u4, u4} R R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_3) (Algebra.id.{u4} R _inst_3)))) (Module.toDistribMulAction.{u4, u3} R S (CommSemiring.toSemiring.{u4} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)))) (Algebra.toModule.{u4, u3} R S _inst_3 (CommSemiring.toSemiring.{u3} S _inst_8) _inst_11)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u3 u4, u4, u4, u3} (AlgHom.{u4, u4, u3} R (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) S _inst_3 (Polynomial.semiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (CommSemiring.toSemiring.{u3} S _inst_8) (Polynomial.algebraOfAlgebra.{u4, u4} R R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_3) (Algebra.id.{u4} R _inst_3)) _inst_11) R (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) S 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(Polynomial.aeval.{u4, u3} R S _inst_3 (CommSemiring.toSemiring.{u3} S _inst_8) _inst_11 a) p)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (AlgHom.{u2, u2, u1} T (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) _inst_9 (Polynomial.semiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) _inst_10 (Polynomial.algebraOfAlgebra.{u2, u2} T T _inst_9 (CommSemiring.toSemiring.{u2} T _inst_9) (Algebra.id.{u2} T _inst_9)) _inst_12) (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (fun (_x : Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) _x) (SMulHomClass.toFunLike.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} T (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) ((fun 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(Polynomial.semiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) _inst_10 (Polynomial.algebraOfAlgebra.{u2, u2} T T _inst_9 (CommSemiring.toSemiring.{u2} T _inst_9) (Algebra.id.{u2} T _inst_9)) _inst_12) T (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) (MonoidWithZero.toMonoid.{u2} T (Semiring.toMonoidWithZero.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (Polynomial.semiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)))))) (AddCommMonoid.toAddMonoid.{u1} ((fun 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_inst_9)) _inst_9 (Polynomial.semiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (Polynomial.algebraOfAlgebra.{u2, u2} T T _inst_9 (CommSemiring.toSemiring.{u2} T _inst_9) (Algebra.id.{u2} T _inst_9)))) (Module.toDistribMulAction.{u2, u1} T ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) (CommSemiring.toSemiring.{u2} T _inst_9) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) _inst_10))) (Algebra.toModule.{u2, u1} T ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) _inst_9 _inst_10 _inst_12)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} T (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) _inst_9 (Polynomial.semiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) _inst_10 (Polynomial.algebraOfAlgebra.{u2, u2} T T _inst_9 (CommSemiring.toSemiring.{u2} T _inst_9) (Algebra.id.{u2} T _inst_9)) _inst_12) T (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) (MonoidWithZero.toMonoid.{u2} T (Semiring.toMonoidWithZero.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (Polynomial.semiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) _inst_10)) (Module.toDistribMulAction.{u2, u2} T (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (CommSemiring.toSemiring.{u2} T _inst_9) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (Polynomial.semiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9))))) (Algebra.toModule.{u2, u2} T (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) _inst_9 (Polynomial.semiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (Polynomial.algebraOfAlgebra.{u2, u2} T T _inst_9 (CommSemiring.toSemiring.{u2} T _inst_9) (Algebra.id.{u2} T _inst_9)))) (Module.toDistribMulAction.{u2, u1} T ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) (CommSemiring.toSemiring.{u2} T _inst_9) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) _inst_10))) (Algebra.toModule.{u2, u1} T ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) _inst_9 _inst_10 _inst_12)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, u1, max u1 u2} T (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) _inst_9 (Polynomial.semiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) _inst_10 (Polynomial.algebraOfAlgebra.{u2, u2} T T _inst_9 (CommSemiring.toSemiring.{u2} T _inst_9) (Algebra.id.{u2} T _inst_9)) _inst_12 (AlgHom.{u2, u2, u1} T (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) _inst_9 (Polynomial.semiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) _inst_10 (Polynomial.algebraOfAlgebra.{u2, u2} T T _inst_9 (CommSemiring.toSemiring.{u2} T _inst_9) (Algebra.id.{u2} T _inst_9)) _inst_12) (AlgHom.algHomClass.{u2, u2, u1} T (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) _inst_9 (Polynomial.semiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) _inst_10 (Polynomial.algebraOfAlgebra.{u2, u2} T T _inst_9 (CommSemiring.toSemiring.{u2} T _inst_9) (Algebra.id.{u2} T _inst_9)) _inst_12))))) (Polynomial.aeval.{u2, u1} T ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) _inst_9 _inst_10 _inst_12 (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (RingHom.{u3, u1} S U (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10)) S (fun (_x : S) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) _x) (MulHomClass.toFunLike.{max u3 u1, u3, u1} (RingHom.{u3, u1} S U (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10)) S U (NonUnitalNonAssocSemiring.toMul.{u3} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)))) (NonUnitalNonAssocSemiring.toMul.{u1} U (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} U (Semiring.toNonAssocSemiring.{u1} U _inst_10))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} S U (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10)) S U (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} U (Semiring.toNonAssocSemiring.{u1} U _inst_10)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} S U (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10)) S U (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10) (RingHom.instRingHomClassRingHom.{u3, u1} S U (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10))))) ψ a)) (Polynomial.map.{u4, u2} R T (CommSemiring.toSemiring.{u4} R _inst_3) (CommSemiring.toSemiring.{u2} T _inst_9) φ p)))
+  forall {R : Type.{u4}} [_inst_3 : CommSemiring.{u4} R] {S : Type.{u3}} {T : Type.{u2}} {U : Type.{u1}} [_inst_8 : CommSemiring.{u3} S] [_inst_9 : CommSemiring.{u2} T] [_inst_10 : Semiring.{u1} U] [_inst_11 : Algebra.{u4, u3} R S _inst_3 (CommSemiring.toSemiring.{u3} S _inst_8)] [_inst_12 : Algebra.{u2, u1} T U _inst_9 _inst_10] {φ : RingHom.{u4, u2} R T (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9))} {ψ : RingHom.{u3, u1} S U (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10)}, (Eq.{max (succ u4) (succ u1)} (RingHom.{u4, u1} R U (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} U _inst_10)) (RingHom.comp.{u4, u2, u1} R T U (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (Semiring.toNonAssocSemiring.{u1} U _inst_10) (algebraMap.{u2, u1} T U _inst_9 _inst_10 _inst_12) φ) (RingHom.comp.{u4, u3, u1} R S U (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10) ψ (algebraMap.{u4, u3} R S _inst_3 (CommSemiring.toSemiring.{u3} S _inst_8) _inst_11))) -> (forall (p : Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (a : S), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) (FunLike.coe.{max (succ u3) (succ u4), succ u4, succ u3} (AlgHom.{u4, u4, u3} R (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) S _inst_3 (Polynomial.semiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (CommSemiring.toSemiring.{u3} S _inst_8) (Polynomial.algebraOfAlgebra.{u4, u4} R R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_3) (Algebra.id.{u4} R _inst_3)) _inst_11) (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (fun (a : Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) => S) a) (SMulHomClass.toFunLike.{max u3 u4, u4, u4, u3} (AlgHom.{u4, u4, u3} R (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) S _inst_3 (Polynomial.semiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (CommSemiring.toSemiring.{u3} S _inst_8) (Polynomial.algebraOfAlgebra.{u4, u4} R R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_3) (Algebra.id.{u4} R _inst_3)) _inst_11) R (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) S (SMulZeroClass.toSMul.{u4, u4} R (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (AddMonoid.toZero.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (AddCommMonoid.toAddMonoid.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Semiring.toNonAssocSemiring.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Polynomial.semiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u4, u4} R (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (AddMonoid.toAddZeroClass.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (AddCommMonoid.toAddMonoid.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Semiring.toNonAssocSemiring.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Polynomial.semiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u4, u4} R (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3))) (AddCommMonoid.toAddMonoid.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Semiring.toNonAssocSemiring.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Polynomial.semiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)))))) (Module.toDistribMulAction.{u4, u4} R (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (CommSemiring.toSemiring.{u4} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Semiring.toNonAssocSemiring.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Polynomial.semiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3))))) (Algebra.toModule.{u4, u4} R (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) _inst_3 (Polynomial.semiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Polynomial.algebraOfAlgebra.{u4, u4} R R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_3) (Algebra.id.{u4} R _inst_3))))))) (SMulZeroClass.toSMul.{u4, u3} R S (AddMonoid.toZero.{u3} S (AddCommMonoid.toAddMonoid.{u3} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)))))) (DistribSMul.toSMulZeroClass.{u4, u3} R S (AddMonoid.toAddZeroClass.{u3} S (AddCommMonoid.toAddMonoid.{u3} 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(x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) _inst_9 (Polynomial.semiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) _inst_10 (Polynomial.algebraOfAlgebra.{u2, u2} T T _inst_9 (CommSemiring.toSemiring.{u2} T _inst_9) (Algebra.id.{u2} T _inst_9)) _inst_12) T (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) (MonoidWithZero.toMonoid.{u2} T (Semiring.toMonoidWithZero.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (Polynomial.semiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) _inst_10)) (Module.toDistribMulAction.{u2, u2} T (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (CommSemiring.toSemiring.{u2} T _inst_9) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (Polynomial.semiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9))))) (Algebra.toModule.{u2, u2} T (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) _inst_9 (Polynomial.semiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (Polynomial.algebraOfAlgebra.{u2, u2} T T _inst_9 (CommSemiring.toSemiring.{u2} T _inst_9) (Algebra.id.{u2} T _inst_9)))) (Module.toDistribMulAction.{u2, u1} T ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) (CommSemiring.toSemiring.{u2} T _inst_9) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) _inst_10))) (Algebra.toModule.{u2, u1} T ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) _inst_9 _inst_10 _inst_12)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, u1, max u1 u2} T (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) _inst_9 (Polynomial.semiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) _inst_10 (Polynomial.algebraOfAlgebra.{u2, u2} T T _inst_9 (CommSemiring.toSemiring.{u2} T _inst_9) (Algebra.id.{u2} T _inst_9)) _inst_12 (AlgHom.{u2, u2, u1} T (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) _inst_9 (Polynomial.semiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) _inst_10 (Polynomial.algebraOfAlgebra.{u2, u2} T T _inst_9 (CommSemiring.toSemiring.{u2} T _inst_9) (Algebra.id.{u2} T _inst_9)) _inst_12) (AlgHom.algHomClass.{u2, u2, u1} T (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) _inst_9 (Polynomial.semiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) _inst_10 (Polynomial.algebraOfAlgebra.{u2, u2} T T _inst_9 (CommSemiring.toSemiring.{u2} T _inst_9) (Algebra.id.{u2} T _inst_9)) _inst_12))))) (Polynomial.aeval.{u2, u1} T ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) _inst_9 _inst_10 _inst_12 (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (RingHom.{u3, u1} S U (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10)) S (fun (_x : S) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) _x) (MulHomClass.toFunLike.{max u3 u1, u3, u1} (RingHom.{u3, u1} S U (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10)) S U (NonUnitalNonAssocSemiring.toMul.{u3} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)))) (NonUnitalNonAssocSemiring.toMul.{u1} U (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} U (Semiring.toNonAssocSemiring.{u1} U _inst_10))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} S U (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10)) S U (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} U (Semiring.toNonAssocSemiring.{u1} U _inst_10)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} S U (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10)) S U (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10) (RingHom.instRingHomClassRingHom.{u3, u1} S U (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10))))) ψ a)) (Polynomial.map.{u4, u2} R T (CommSemiring.toSemiring.{u4} R _inst_3) (CommSemiring.toSemiring.{u2} T _inst_9) φ p)))
 Case conversion may be inaccurate. Consider using '#align polynomial.map_aeval_eq_aeval_map Polynomial.map_aeval_eq_aeval_mapₓ'. -/
 theorem map_aeval_eq_aeval_map {S T U : Type _} [CommSemiring S] [CommSemiring T] [Semiring U]
     [Algebra R S] [Algebra T U] {φ : R →+* T} {ψ : S →+* U}
@@ -544,7 +544,7 @@ theorem isRoot_of_eval₂_map_eq_zero (hf : Function.Injective f) {r : R} :
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} [_inst_3 : CommSemiring.{u1} R] [_inst_8 : Semiring.{u2} S] [_inst_9 : Algebra.{u1, u2} R S _inst_3 _inst_8] {p : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)}, (Function.Injective.{succ u1, succ u2} R S (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) (fun (_x : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) => R -> S) (RingHom.hasCoeToFun.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) (algebraMap.{u1, u2} R S _inst_3 _inst_8 _inst_9))) -> (forall {r : R}, (Eq.{succ u2} S (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) S _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9) (fun (_x : AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) S _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9) => (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) -> S) ([anonymous].{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) S _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9) (Polynomial.aeval.{u1, u2} R S _inst_3 _inst_8 _inst_9 (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) (fun (_x : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) => R -> S) (RingHom.hasCoeToFun.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) (algebraMap.{u1, u2} R S _inst_3 _inst_8 _inst_9) r)) p) (OfNat.ofNat.{u2} S 0 (OfNat.mk.{u2} S 0 (Zero.zero.{u2} S (MulZeroClass.toHasZero.{u2} S (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_8)))))))) -> (Polynomial.IsRoot.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3) p r))
 but is expected to have type
-  forall {R : Type.{u1}} {S : Type.{u2}} [_inst_3 : CommSemiring.{u1} R] [_inst_8 : Semiring.{u2} S] [_inst_9 : Algebra.{u1, u2} R S _inst_3 _inst_8] {p : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)}, (Function.Injective.{succ u1, succ u2} R S (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R S (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_8))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_8)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8) (RingHom.instRingHomClassRingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8))))) (algebraMap.{u1, u2} R S _inst_3 _inst_8 _inst_9))) -> (forall {r : R}, (Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) p) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9) (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (fun (_x : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _x) (SMulHomClass.toFunLike.{max u2 u1, u1, u1, u2} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9) R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (SMulZeroClass.toSMul.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (AddMonoid.toZero.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (AddCommMonoid.toAddMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (AddMonoid.toAddZeroClass.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (AddCommMonoid.toAddMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (AddCommMonoid.toAddMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))))) (Module.toDistribMulAction.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (Algebra.toModule.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3))))))) (SMulZeroClass.toSMul.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (AddMonoid.toZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (AddCommMonoid.toAddMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (Semiring.toNonAssocSemiring.{u2} ((fun 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(CommSemiring.toSemiring.{u1} R _inst_3))))) (Algebra.toModule.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)))) (Module.toDistribMulAction.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_8))) (Algebra.toModule.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_3 _inst_8 _inst_9)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u1, u1, u2} 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(x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_8))) (Algebra.toModule.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_3 _inst_8 _inst_9)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u1, u2, max u2 u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9 (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9) (AlgHom.algHomClass.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9))))) (Polynomial.aeval.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_3 _inst_8 _inst_9 (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R S (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_8))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_8)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8) (RingHom.instRingHomClassRingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8))))) (algebraMap.{u1, u2} R S _inst_3 _inst_8 _inst_9) r)) p) (OfNat.ofNat.{u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) p) 0 (Zero.toOfNat0.{u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) p) (MonoidWithZero.toZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) p) (Semiring.toMonoidWithZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) p) _inst_8))))) -> (Polynomial.IsRoot.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3) p r))
+  forall {R : Type.{u1}} {S : Type.{u2}} [_inst_3 : CommSemiring.{u1} R] [_inst_8 : Semiring.{u2} S] [_inst_9 : Algebra.{u1, u2} R S _inst_3 _inst_8] {p : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)}, (Function.Injective.{succ u1, succ u2} R S (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R S (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 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(algebraMap.{u1, u2} R S _inst_3 _inst_8 _inst_9))) -> (forall {r : R}, (Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) p) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9) (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (fun (_x : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _x) (SMulHomClass.toFunLike.{max u2 u1, u1, u1, u2} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9) R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (SMulZeroClass.toSMul.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (AddMonoid.toZero.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (AddCommMonoid.toAddMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (AddMonoid.toAddZeroClass.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (AddCommMonoid.toAddMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (AddCommMonoid.toAddMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))))) (Module.toDistribMulAction.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (Algebra.toModule.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3))))))) (SMulZeroClass.toSMul.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (AddMonoid.toZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (AddCommMonoid.toAddMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_8))))) (DistribSMul.toSMulZeroClass.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (AddMonoid.toAddZeroClass.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (AddCommMonoid.toAddMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_8))))) (DistribMulAction.toDistribSMul.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_8)))) (Module.toDistribMulAction.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_8))) (Algebra.toModule.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_3 _inst_8 _inst_9))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u1, u1, u2} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9) R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (AddCommMonoid.toAddMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))))) (AddCommMonoid.toAddMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_8)))) (Module.toDistribMulAction.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (Algebra.toModule.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)))) (Module.toDistribMulAction.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_8))) (Algebra.toModule.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_3 _inst_8 _inst_9)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u1, u1, u2} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9) R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_8)) (Module.toDistribMulAction.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (Algebra.toModule.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)))) (Module.toDistribMulAction.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_8))) (Algebra.toModule.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_3 _inst_8 _inst_9)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u1, u2, max u2 u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9 (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9) (AlgHom.algHomClass.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9))))) (Polynomial.aeval.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_3 _inst_8 _inst_9 (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R S (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_8))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_8)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8) (RingHom.instRingHomClassRingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8))))) (algebraMap.{u1, u2} R S _inst_3 _inst_8 _inst_9) r)) p) (OfNat.ofNat.{u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) p) 0 (Zero.toOfNat0.{u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) p) (MonoidWithZero.toZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) p) (Semiring.toMonoidWithZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) p) _inst_8))))) -> (Polynomial.IsRoot.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3) p r))
 Case conversion may be inaccurate. Consider using '#align polynomial.is_root_of_aeval_algebra_map_eq_zero Polynomial.isRoot_of_aeval_algebraMap_eq_zeroₓ'. -/
 theorem isRoot_of_aeval_algebraMap_eq_zero [Algebra R S] {p : R[X]}
     (inj : Function.Injective (algebraMap R S)) {r : R} (hr : aeval (algebraMap R S r) p = 0) :
@@ -574,7 +574,7 @@ variable (g : R →ₐ[S] A') (y : A')
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} {A' : Type.{u3}} [_inst_1 : CommSemiring.{u3} A'] [_inst_3 : CommSemiring.{u1} R] [_inst_8 : CommSemiring.{u2} S] [_inst_9 : Algebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3)] [_inst_10 : Algebra.{u2, u3} S A' _inst_8 (CommSemiring.toSemiring.{u3} A' _inst_1)] (g : AlgHom.{u2, u1, u3} S R A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 _inst_10) (y : A'), Eq.{succ u3} A' (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (AlgHom.{u2, u1, u3} S (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u3} A' _inst_1) (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9) _inst_10) (fun (_x : AlgHom.{u2, u1, u3} S (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u3} A' _inst_1) (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9) _inst_10) => (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) -> A') ([anonymous].{u2, u1, u3} S (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u3} A' _inst_1) (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9) _inst_10) (Polynomial.aevalTower.{u1, u2, u3} R S A' _inst_1 _inst_3 _inst_8 _inst_9 _inst_10 g y) (Polynomial.X.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) y
 but is expected to have type
-  forall {R : Type.{u2}} {S : Type.{u3}} {A' : Type.{u1}} [_inst_1 : CommSemiring.{u1} A'] [_inst_3 : CommSemiring.{u2} R] [_inst_8 : CommSemiring.{u3} S] [_inst_9 : Algebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3)] [_inst_10 : Algebra.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1)] (g : AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) (y : A'), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A') (Polynomial.X.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AlgHom.{u3, u2, u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10) (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (fun (_x : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A') _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10) S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' (SMulZeroClass.toSMul.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)))))) (SMulZeroClass.toSMul.{u3, u1} S A' (AddMonoid.toZero.{u1} A' (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))))) (DistribSMul.toSMulZeroClass.{u3, u1} S A' (AddMonoid.toAddZeroClass.{u1} A' (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))))) (DistribMulAction.toDistribSMul.{u3, u1} S A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))))) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10) S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))))) (Module.toDistribMulAction.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9))) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10) S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))) (Module.toDistribMulAction.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9))) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, u2, u1, max u2 u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10 (AlgHom.{u3, u2, u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10) (AlgHom.algHomClass.{u3, u2, u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10))))) (Polynomial.aevalTower.{u2, u3, u1} R S A' _inst_1 _inst_3 _inst_8 _inst_9 _inst_10 g y) (Polynomial.X.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) y
+  forall {R : Type.{u2}} {S : Type.{u3}} {A' : Type.{u1}} [_inst_1 : CommSemiring.{u1} A'] [_inst_3 : CommSemiring.{u2} R] [_inst_8 : CommSemiring.{u3} S] [_inst_9 : Algebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3)] [_inst_10 : Algebra.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1)] (g : AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) (y : A'), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A') (Polynomial.X.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AlgHom.{u3, u2, u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10) (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (fun (_x : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A') _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10) S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' (SMulZeroClass.toSMul.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)))))) (SMulZeroClass.toSMul.{u3, u1} S A' (AddMonoid.toZero.{u1} A' (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))))) (DistribSMul.toSMulZeroClass.{u3, u1} S A' (AddMonoid.toAddZeroClass.{u1} A' (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))))) (DistribMulAction.toDistribSMul.{u3, u1} S A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))))) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10) S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))))) (Module.toDistribMulAction.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9))) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10) S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))) (Module.toDistribMulAction.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9))) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, u2, u1, max u2 u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10 (AlgHom.{u3, u2, u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10) (AlgHom.algHomClass.{u3, u2, u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10))))) (Polynomial.aevalTower.{u2, u3, u1} R S A' _inst_1 _inst_3 _inst_8 _inst_9 _inst_10 g y) (Polynomial.X.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) y
 Case conversion may be inaccurate. Consider using '#align polynomial.aeval_tower_X Polynomial.aevalTower_Xₓ'. -/
 @[simp]
 theorem aevalTower_X : aevalTower g y X = y :=
@@ -585,7 +585,7 @@ theorem aevalTower_X : aevalTower g y X = y :=
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} {A' : Type.{u3}} [_inst_1 : CommSemiring.{u3} A'] [_inst_3 : CommSemiring.{u1} R] [_inst_8 : CommSemiring.{u2} S] [_inst_9 : Algebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3)] [_inst_10 : Algebra.{u2, u3} S A' _inst_8 (CommSemiring.toSemiring.{u3} A' _inst_1)] (g : AlgHom.{u2, u1, u3} S R A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 _inst_10) (y : A') (x : R), Eq.{succ u3} A' (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (AlgHom.{u2, u1, u3} S (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u3} A' _inst_1) (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9) _inst_10) (fun (_x : AlgHom.{u2, u1, u3} S (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u3} A' _inst_1) (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9) _inst_10) => (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) -> A') ([anonymous].{u2, u1, u3} S (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u3} A' _inst_1) (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9) _inst_10) (Polynomial.aevalTower.{u1, u2, u3} R S A' _inst_1 _inst_3 _inst_8 _inst_9 _inst_10 g y) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (fun (_x : RingHom.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) => R -> (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (RingHom.hasCoeToFun.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (Polynomial.C.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) x)) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (AlgHom.{u2, u1, u3} S R A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 _inst_10) (fun (_x : AlgHom.{u2, u1, u3} S R A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 _inst_10) => R -> A') ([anonymous].{u2, u1, u3} S R A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 _inst_10) g x)
 but is expected to have type
-  forall {R : Type.{u2}} {S : Type.{u3}} {A' : Type.{u1}} [_inst_1 : CommSemiring.{u1} A'] [_inst_3 : CommSemiring.{u2} R] [_inst_8 : CommSemiring.{u3} S] [_inst_9 : Algebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3)] [_inst_10 : Algebra.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1)] (g : AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) (y : A') (x : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A') (FunLike.coe.{succ u2, succ u2, succ u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) a) (MulHomClass.toFunLike.{u2, u2, u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R 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(Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (RingHom.instRingHomClassRingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (Polynomial.C.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) x)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : R) => A') _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) S R A' (SMulZeroClass.toSMul.{u3, u2} S R (AddMonoid.toZero.{u2} R (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (DistribSMul.toSMulZeroClass.{u3, u2} S R (AddMonoid.toAddZeroClass.{u2} R (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (DistribMulAction.toDistribSMul.{u3, u2} S R (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9))))) (SMulZeroClass.toSMul.{u3, u1} S A' (AddMonoid.toZero.{u1} A' (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))))) (DistribSMul.toSMulZeroClass.{u3, u1} S A' (AddMonoid.toAddZeroClass.{u1} A' (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))))) (DistribMulAction.toDistribSMul.{u3, u1} S A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))))) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) S R A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) S R A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, u2, u1, max u2 u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10 (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) (AlgHom.algHomClass.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10))))) g x)
+  forall {R : Type.{u2}} {S : Type.{u3}} {A' : Type.{u1}} [_inst_1 : CommSemiring.{u1} A'] [_inst_3 : CommSemiring.{u2} R] [_inst_8 : CommSemiring.{u3} S] [_inst_9 : Algebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3)] [_inst_10 : Algebra.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1)] (g : AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) (y : A') (x : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A') (FunLike.coe.{succ u2, succ u2, succ u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) a) (MulHomClass.toFunLike.{u2, u2, u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{u2, u2, u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{u2, u2, u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (RingHom.instRingHomClassRingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (Polynomial.C.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) x)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AlgHom.{u3, u2, u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10) (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (fun (_x : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A') _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10) S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' (SMulZeroClass.toSMul.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} R 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(CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) S R A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, u2, u1, max u2 u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10 (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) (AlgHom.algHomClass.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10))))) g x)
 Case conversion may be inaccurate. Consider using '#align polynomial.aeval_tower_C Polynomial.aevalTower_Cₓ'. -/
 @[simp]
 theorem aevalTower_C (x : R) : aevalTower g y (C x) = g x :=
@@ -607,7 +607,7 @@ theorem aevalTower_comp_C : (aevalTower g y : R[X] →+* A').comp C = g :=
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} {A' : Type.{u3}} [_inst_1 : CommSemiring.{u3} A'] [_inst_3 : CommSemiring.{u1} R] [_inst_8 : CommSemiring.{u2} S] [_inst_9 : Algebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3)] [_inst_10 : Algebra.{u2, u3} S A' _inst_8 (CommSemiring.toSemiring.{u3} A' _inst_1)] (g : AlgHom.{u2, u1, u3} S R A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 _inst_10) (y : A') (x : R), Eq.{succ u3} A' (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (AlgHom.{u2, u1, u3} S (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u3} A' _inst_1) (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9) _inst_10) (fun (_x : AlgHom.{u2, u1, u3} S (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u3} A' _inst_1) (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9) _inst_10) => (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) -> A') ([anonymous].{u2, u1, u3} S (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u3} A' _inst_1) (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9) _inst_10) (Polynomial.aevalTower.{u1, u2, u3} R S A' _inst_1 _inst_3 _inst_8 _inst_9 _inst_10 g y) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (fun (_x : RingHom.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) => R -> (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (RingHom.hasCoeToFun.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (algebraMap.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3))) x)) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (AlgHom.{u2, u1, u3} S R A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 _inst_10) (fun (_x : AlgHom.{u2, u1, u3} S R A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 _inst_10) => R -> A') ([anonymous].{u2, u1, u3} S R A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 _inst_10) g x)
 but is expected to have type
-  forall {R : Type.{u2}} {S : Type.{u3}} {A' : Type.{u1}} [_inst_1 : CommSemiring.{u1} A'] [_inst_3 : CommSemiring.{u2} R] [_inst_8 : CommSemiring.{u3} S] [_inst_9 : Algebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3)] [_inst_10 : Algebra.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1)] (g : AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) (y : A') (x : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A') (FunLike.coe.{succ u2, succ u2, succ u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) a) (MulHomClass.toFunLike.{u2, u2, u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{u2, u2, u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{u2, u2, u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (RingHom.instRingHomClassRingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (algebraMap.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3))) x)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AlgHom.{u3, u2, u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10) (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (fun (_x : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A') _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10) S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' (SMulZeroClass.toSMul.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) 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(Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) S R A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' 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_inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) S R A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, u2, u1, max u2 u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10 (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) (AlgHom.algHomClass.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10))))) g x)
+  forall {R : Type.{u2}} {S : Type.{u3}} {A' : Type.{u1}} [_inst_1 : CommSemiring.{u1} A'] [_inst_3 : CommSemiring.{u2} R] [_inst_8 : CommSemiring.{u3} S] [_inst_9 : Algebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3)] [_inst_10 : Algebra.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1)] (g : AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) (y : A') (x : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A') (FunLike.coe.{succ u2, succ u2, succ u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) a) (MulHomClass.toFunLike.{u2, u2, u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{u2, u2, u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{u2, u2, u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (RingHom.instRingHomClassRingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (algebraMap.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3))) x)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AlgHom.{u3, u2, u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10) (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (fun (_x : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A') _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10) S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' (SMulZeroClass.toSMul.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)))))) (SMulZeroClass.toSMul.{u3, u1} S A' (AddMonoid.toZero.{u1} A' (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))))) (DistribSMul.toSMulZeroClass.{u3, u1} S A' (AddMonoid.toAddZeroClass.{u1} A' (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))))) (DistribMulAction.toDistribSMul.{u3, u1} S A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))))) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10) S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))))) (Module.toDistribMulAction.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9))) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10) S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' 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(CommSemiring.toSemiring.{u2} R _inst_3)) _x) (MulHomClass.toFunLike.{u2, u2, u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{u2, u2, u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{u2, u2, u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (RingHom.instRingHomClassRingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (algebraMap.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3))) x)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : R) => A') _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) S R A' (SMulZeroClass.toSMul.{u3, u2} S R (AddMonoid.toZero.{u2} R (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) 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(Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) S R A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) S R A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, u2, u1, max u2 u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10 (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) (AlgHom.algHomClass.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10))))) g x)
 Case conversion may be inaccurate. Consider using '#align polynomial.aeval_tower_algebra_map Polynomial.aevalTower_algebraMapₓ'. -/
 @[simp]
 theorem aevalTower_algebraMap (x : R) : aevalTower g y (algebraMap R R[X] x) = g x :=
@@ -629,7 +629,7 @@ theorem aevalTower_comp_algebraMap : (aevalTower g y : R[X] →+* A').comp (alge
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} {A' : Type.{u3}} [_inst_1 : CommSemiring.{u3} A'] [_inst_3 : CommSemiring.{u1} R] [_inst_8 : CommSemiring.{u2} S] [_inst_9 : Algebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3)] [_inst_10 : Algebra.{u2, u3} S A' _inst_8 (CommSemiring.toSemiring.{u3} A' _inst_1)] (g : AlgHom.{u2, u1, u3} S R A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 _inst_10) (y : A') (x : R), Eq.{succ u3} A' (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (AlgHom.{u2, u1, u3} S (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u3} A' _inst_1) (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9) _inst_10) (fun (_x : AlgHom.{u2, u1, u3} S (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u3} A' _inst_1) (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9) _inst_10) => (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) -> A') ([anonymous].{u2, u1, u3} S (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u3} A' _inst_1) (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9) _inst_10) (Polynomial.aevalTower.{u1, u2, u3} R S A' _inst_1 _inst_3 _inst_8 _inst_9 _inst_10 g y) (coeFn.{succ u1, succ u1} (AlgHom.{u2, u1, u1} S R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_9 (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9)) (fun (_x : AlgHom.{u2, u1, u1} S R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_9 (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9)) => R -> (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) ([anonymous].{u2, u1, u1} S R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_9 (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9)) (IsScalarTower.toAlgHom.{u2, u1, u1} S R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_9 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9) (Polynomial.isScalarTower.{u1, u2, u1} R (CommSemiring.toSemiring.{u1} R _inst_3) S R (SMulZeroClass.toHasSmul.{u2, u1} S R (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))))) (SMulWithZero.toSmulZeroClass.{u2, u1} S R (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8))))) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))))) (MulActionWithZero.toSMulWithZero.{u2, u1} S R (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8)) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))))) (Module.toMulActionWithZero.{u2, u1} S R (CommSemiring.toSemiring.{u2} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (Algebra.toModule.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9))))) (SMulWithZero.toSmulZeroClass.{u2, u1} S R (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u1} S R (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8)) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (Module.toMulActionWithZero.{u2, u1} S R (CommSemiring.toSemiring.{u2} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (Algebra.toModule.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9)))) (SMulWithZero.toSmulZeroClass.{u1, u1} R R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (MulZeroClass.toSMulWithZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))))) (IsScalarTower.right.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9))) x)) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (AlgHom.{u2, u1, u3} S R A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 _inst_10) (fun (_x : AlgHom.{u2, u1, u3} S R A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 _inst_10) => R -> A') ([anonymous].{u2, u1, u3} S R A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 _inst_10) g x)
 but is expected to have type
-  forall {R : Type.{u2}} {S : Type.{u3}} {A' : Type.{u1}} [_inst_1 : CommSemiring.{u1} A'] [_inst_3 : CommSemiring.{u2} R] [_inst_8 : CommSemiring.{u3} S] [_inst_9 : Algebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3)] [_inst_10 : Algebra.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1)] (g : AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) (y : A') (x : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A') (FunLike.coe.{succ u2, succ u2, succ u2} (AlgHom.{u3, u2, u2} S R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_9 (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : R) => Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) a) (SMulHomClass.toFunLike.{u2, u3, u2, u2} (AlgHom.{u3, u2, u2} S R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_9 (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) S R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (SMulZeroClass.toSMul.{u3, u2} S R (AddMonoid.toZero.{u2} R (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (DistribSMul.toSMulZeroClass.{u3, u2} S R (AddMonoid.toAddZeroClass.{u2} R (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (DistribMulAction.toDistribSMul.{u3, u2} S R (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9))))) (SMulZeroClass.toSMul.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)))))) (DistribMulActionHomClass.toSMulHomClass.{u2, u3, u2, u2} (AlgHom.{u3, u2, u2} S R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_9 (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) S R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) (Module.toDistribMulAction.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 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u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) S R A' (SMulZeroClass.toSMul.{u3, u2} S R (AddMonoid.toZero.{u2} R (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (DistribSMul.toSMulZeroClass.{u3, u2} S R (AddMonoid.toAddZeroClass.{u2} R (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (DistribMulAction.toDistribSMul.{u3, u2} S R (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9))))) (SMulZeroClass.toSMul.{u3, u1} S A' (AddMonoid.toZero.{u1} A' (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))))) (DistribSMul.toSMulZeroClass.{u3, u1} S A' (AddMonoid.toAddZeroClass.{u1} A' (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))))) (DistribMulAction.toDistribSMul.{u3, u1} S A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))))) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) S R A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) S R A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, u2, u1, max u2 u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10 (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) (AlgHom.algHomClass.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10))))) g x)
+  forall {R : Type.{u2}} {S : Type.{u3}} {A' : Type.{u1}} [_inst_1 : CommSemiring.{u1} A'] [_inst_3 : CommSemiring.{u2} R] [_inst_8 : CommSemiring.{u3} S] [_inst_9 : Algebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3)] [_inst_10 : Algebra.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1)] (g : AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) (y : A') (x : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A') (FunLike.coe.{succ u2, succ u2, succ u2} (AlgHom.{u3, u2, u2} S R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_9 (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : R) => Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) a) (SMulHomClass.toFunLike.{u2, u3, u2, u2} (AlgHom.{u3, u2, u2} S R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_9 (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) S R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (SMulZeroClass.toSMul.{u3, u2} S R (AddMonoid.toZero.{u2} R (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (DistribSMul.toSMulZeroClass.{u3, u2} S R (AddMonoid.toAddZeroClass.{u2} R (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (DistribMulAction.toDistribSMul.{u3, u2} S R (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9))))) (SMulZeroClass.toSMul.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)))))) (DistribMulActionHomClass.toSMulHomClass.{u2, u3, u2, u2} (AlgHom.{u3, u2, u2} S R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_9 (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) S R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) (Module.toDistribMulAction.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{u2, u3, u2, u2} (AlgHom.{u3, u2, u2} S R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_9 (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) S R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) (Module.toDistribMulAction.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, u2, u2, u2} S R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_9 (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) (AlgHom.{u3, u2, u2} S R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 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(Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9))))) (SMulZeroClass.toSMul.{u3, u1} S A' (AddMonoid.toZero.{u1} A' (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))))) (DistribSMul.toSMulZeroClass.{u3, u1} S A' (AddMonoid.toAddZeroClass.{u1} A' (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))))) (DistribMulAction.toDistribSMul.{u3, u1} S A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))))) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) S R A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) S R A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, u2, u1, max u2 u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10 (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) (AlgHom.algHomClass.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10))))) g x)
 Case conversion may be inaccurate. Consider using '#align polynomial.aeval_tower_to_alg_hom Polynomial.aevalTower_toAlgHomₓ'. -/
 theorem aevalTower_toAlgHom (x : R) : aevalTower g y (IsScalarTower.toAlgHom S R R[X] x) = g x :=
   aevalTower_algebraMap _ _ _
@@ -767,7 +767,7 @@ end Ring
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_3 : CommRing.{u1} R] [_inst_4 : AddCommGroup.{u2} M] [_inst_5 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4)] (f : LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) (v : M) (p : Polynomial.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3))), Eq.{succ u2} M (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) (LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u1} R _inst_3) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) (Module.End.semiring.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u1, u1} R R (CommRing.toCommSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) (Module.End.algebra.{u1, u2} R M (CommRing.toCommSemiring.{u1} R _inst_3) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5)) (fun (_x : AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) (LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u1} R _inst_3) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) (Module.End.semiring.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u1, u1} R R (CommRing.toCommSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) (Module.End.algebra.{u1, u2} R M (CommRing.toCommSemiring.{u1} R _inst_3) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5)) => (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) -> (LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5)) ([anonymous].{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) (LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u1} R _inst_3) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) (Module.End.semiring.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u1, u1} R R (CommRing.toCommSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) (Module.End.algebra.{u1, u2} R M (CommRing.toCommSemiring.{u1} R _inst_3) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5)) (Polynomial.aeval.{u1, u2} R (LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u1} R _inst_3) (Module.End.semiring.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5) (Module.End.algebra.{u1, u2} R M (CommRing.toCommSemiring.{u1} R _inst_3) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5) f) p) v) (Polynomial.sum.{u1, u2} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) p (fun (n : Nat) (b : R) => SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5)))) b (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3))))) (HPow.hPow.{u2, 0, u2} (LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) Nat (LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) (instHPow.{u2, 0} (LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) Nat (Monoid.Pow.{u2} (LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) (Module.End.monoid.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5))) f n) v)))
 but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_3 : CommRing.{u2} R] [_inst_4 : AddCommGroup.{u1} M] [_inst_5 : Module.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4)] (f : LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (v : M) (p : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) v) (FunLike.coe.{succ u1, succ u1, succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) p) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)) (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (_x : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) _x) (SMulHomClass.toFunLike.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (SMulZeroClass.toSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribSMul.toSMulZeroClass.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribMulAction.toDistribSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SMulZeroClass.toSMul.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (AddMonoid.toZero.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))))) (DistribSMul.toSMulZeroClass.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))))) (DistribMulAction.toDistribSMul.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) 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(AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M 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(CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R 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(CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))) (Algebra.toModule.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) 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(CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) 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(AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))) (Algebra.toModule.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, u1, max u1 u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) 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_inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)) (AlgHom.algHomClass.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) 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succ u1, succ u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (HPow.hPow.{u1, 0, u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) Nat (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (instHPow.{u1, 0} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) Nat (Monoid.Pow.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.monoid.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5))) f n) v)))
+  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_3 : CommRing.{u2} R] [_inst_4 : AddCommGroup.{u1} M] [_inst_5 : Module.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4)] (f : LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (v : M) (p : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) v) (FunLike.coe.{succ u1, succ u1, succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) p) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)) (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (_x : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) _x) (SMulHomClass.toFunLike.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (SMulZeroClass.toSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribSMul.toSMulZeroClass.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribMulAction.toDistribSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SMulZeroClass.toSMul.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (AddMonoid.toZero.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))))) (DistribSMul.toSMulZeroClass.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R 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(CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) 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(Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, 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(CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))) (Algebra.toModule.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, u1, max u1 u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)) (AlgHom.algHomClass.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))))) (Polynomial.aeval.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) f) p) v) (Polynomial.sum.{u2, u1} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) v) (AddCommGroup.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) v) _inst_4) p (fun (n : Nat) (b : R) => HSMul.hSMul.{u2, u1, u1} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) v) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) v) (instHSMul.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) v) (SMulZeroClass.toSMul.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) v) (NegZeroClass.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) v) (SubNegZeroMonoid.toNegZeroClass.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) v) (SubtractionMonoid.toSubNegZeroMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) v) (SubtractionCommMonoid.toSubtractionMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) v) (AddCommGroup.toDivisionAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) v) _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) v) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NegZeroClass.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) v) (SubNegZeroMonoid.toNegZeroClass.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) v) (SubtractionMonoid.toSubNegZeroMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) v) (SubtractionCommMonoid.toSubtractionMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) v) (AddCommGroup.toDivisionAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) v) _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) v) (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NegZeroClass.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) v) (SubNegZeroMonoid.toNegZeroClass.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) v) (SubtractionMonoid.toSubNegZeroMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) v) (SubtractionCommMonoid.toSubtractionMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) v) (AddCommGroup.toDivisionAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) v) _inst_4))))) (Module.toMulActionWithZero.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) v) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) v) _inst_4) _inst_5))))) b (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (HPow.hPow.{u1, 0, u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) Nat (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (instHPow.{u1, 0} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) 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 Case conversion may be inaccurate. Consider using '#align polynomial.aeval_endomorphism Polynomial.aeval_endomorphismₓ'. -/
 theorem aeval_endomorphism {M : Type _} [CommRing R] [AddCommGroup M] [Module R M] (f : M →ₗ[R] M)
     (v : M) (p : R[X]) : aeval f p v = p.Sum fun n b => b • (f ^ n) v :=

mathlib commit https://github.com/leanprover-community/mathlib/commit/75e7fca56381d056096ce5d05e938f63a6567828

@@ -446,7 +446,7 @@ theorem aeval_fn_apply {X : Type _} (g : R[X]) (f : X → R) (x : X) :
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_3 : CommSemiring.{u1} R] (g : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) {A : Type.{u2}} [_inst_8 : Semiring.{u2} A] [_inst_9 : Algebra.{u1, u2} R A _inst_3 _inst_8] (s : Subalgebra.{u1, u2} R A _inst_3 _inst_8 _inst_9) (f : coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R A _inst_3 _inst_8 _inst_9) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.setLike.{u1, u2} R A _inst_3 _inst_8 _inst_9)) s), Eq.{succ u2} A ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R A _inst_3 _inst_8 _inst_9) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.setLike.{u1, u2} R A _inst_3 _inst_8 _inst_9)) s) A (HasLiftT.mk.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R A _inst_3 _inst_8 _inst_9) Type.{u2} 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 but is expected to have type
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(NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))))) (DistribMulAction.toDistribSMul.{u2, u1} R A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8)))) (Module.toDistribMulAction.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (Algebra.toModule.{u2, u1} R A _inst_3 _inst_8 _inst_9))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8)))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (Algebra.toModule.{u2, u1} R A _inst_3 _inst_8 _inst_9)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8)) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (Algebra.toModule.{u2, u1} R A _inst_3 _inst_8 _inst_9)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, u1, max u1 u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9 (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9) (AlgHom.algHomClass.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9))))) (Polynomial.aeval.{u2, u1} R A _inst_3 _inst_8 _inst_9 (Subtype.val.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Set.{u1} A) (Set.instMembershipSet.{u1} A) x (SetLike.coe.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) s)) f)) g)
+  forall {R : Type.{u2}} [_inst_3 : CommSemiring.{u2} R] (g : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) {A : Type.{u1}} [_inst_8 : Semiring.{u1} A] [_inst_9 : Algebra.{u2, u1} R A _inst_3 _inst_8] (s : Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (f : Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9)) x s)), Eq.{succ u1} A (Subtype.val.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Set.{u1} A) (Set.instMembershipSet.{u1} A) x (SetLike.coe.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) s)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9)) x s)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Subalgebra.toSemiring.{u2, u1} R A _inst_3 _inst_8 _inst_9 s) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Subalgebra.algebra.{u2, u1} R A _inst_3 _inst_8 _inst_9 s)) (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (fun (_x : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9)) x s)) _x) (SMulHomClass.toFunLike.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9)) x s)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Subalgebra.toSemiring.{u2, u1} R A _inst_3 _inst_8 _inst_9 s) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Subalgebra.algebra.{u2, u1} R A _inst_3 _inst_8 _inst_9 s)) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9)) x s)) (SMulZeroClass.toSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3))))))) (SMulZeroClass.toSMul.{u2, u1} R (Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9)) x s)) (AddMonoid.toZero.{u1} (Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9)) x s)) (AddCommMonoid.toAddMonoid.{u1} (Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9)) x s)) 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(CommSemiring.toSemiring.{u2} R _inst_3)) (Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9)) x s)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Subalgebra.toSemiring.{u2, u1} R A _inst_3 _inst_8 _inst_9 s) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Subalgebra.algebra.{u2, u1} R A _inst_3 _inst_8 _inst_9 s)))))) (Polynomial.aeval.{u2, u1} R (Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9)) x s)) _inst_3 (Subalgebra.toSemiring.{u2, u1} R A _inst_3 _inst_8 _inst_9 s) (Subalgebra.algebra.{u2, u1} R A _inst_3 _inst_8 _inst_9 s) f) g)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9) (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (fun (_x : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) _x) (SMulHomClass.toFunLike.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A (SMulZeroClass.toSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3))))))) (SMulZeroClass.toSMul.{u2, u1} R A (AddMonoid.toZero.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))))) (DistribSMul.toSMulZeroClass.{u2, u1} R A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))))) (DistribMulAction.toDistribSMul.{u2, u1} R A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8)))) (Module.toDistribMulAction.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (Algebra.toModule.{u2, u1} R A _inst_3 _inst_8 _inst_9))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8)))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (Algebra.toModule.{u2, u1} R A _inst_3 _inst_8 _inst_9)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8)) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (Algebra.toModule.{u2, u1} R A _inst_3 _inst_8 _inst_9)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, u1, max u1 u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9 (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9) (AlgHom.algHomClass.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9))))) (Polynomial.aeval.{u2, u1} R A _inst_3 _inst_8 _inst_9 (Subtype.val.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Set.{u1} A) (Set.instMembershipSet.{u1} A) x (SetLike.coe.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) s)) f)) g)
 Case conversion may be inaccurate. Consider using '#align polynomial.aeval_subalgebra_coe Polynomial.aeval_subalgebra_coeₓ'. -/
 @[norm_cast]
 theorem aeval_subalgebra_coe (g : R[X]) {A : Type _} [Semiring A] [Algebra R A] (s : Subalgebra R A)

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

@@ -67,7 +67,7 @@ instance algebraOfAlgebra : Algebra R A[X]
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_3 : CommSemiring.{u1} R] [_inst_4 : Semiring.{u2} A] [_inst_5 : Algebra.{u1, u2} R A _inst_3 _inst_4] (r : R), Eq.{succ u2} (Polynomial.{u2} A _inst_4) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) (fun (_x : RingHom.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) => R -> (Polynomial.{u2} A _inst_4)) (RingHom.hasCoeToFun.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) (algebraMap.{u1, u2} R (Polynomial.{u2} A _inst_4) _inst_3 (Polynomial.semiring.{u2} A _inst_4) (Polynomial.algebraOfAlgebra.{u1, u2} R A _inst_3 _inst_4 _inst_5)) r) (coeFn.{succ u2, succ u2} (RingHom.{u2, u2} A (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) (fun (_x : RingHom.{u2, u2} A (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) => A -> (Polynomial.{u2} A _inst_4)) (RingHom.hasCoeToFun.{u2, u2} A (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) (Polynomial.C.{u2} A _inst_4) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4)) (algebraMap.{u1, u2} R A _inst_3 _inst_4 _inst_5) r))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_3 : CommSemiring.{u1} R] [_inst_4 : Semiring.{u2} A] [_inst_5 : Algebra.{u1, u2} R A _inst_3 _inst_4] (r : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Polynomial.{u2} A _inst_4) r) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Polynomial.{u2} A _inst_4) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) R (Polynomial.{u2} A _inst_4) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Polynomial.{u2} A _inst_4) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) R (Polynomial.{u2} A _inst_4) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4)))))) (algebraMap.{u1, u2} R (Polynomial.{u2} A _inst_4) _inst_3 (Polynomial.semiring.{u2} A _inst_4) (Polynomial.algebraOfAlgebra.{u1, u2} R A _inst_3 _inst_4 _inst_5)) r) (FunLike.coe.{succ u2, succ u2, succ u2} (RingHom.{u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_4) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_4) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_4) (Polynomial.semiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_4))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) => Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_4) _x) (MulHomClass.toFunLike.{u2, u2, u2} (RingHom.{u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_4) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_4) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_4) (Polynomial.semiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_4))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_4) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_4))) (NonUnitalNonAssocSemiring.toMul.{u2} (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_4) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_4) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_4) (Polynomial.semiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{u2, u2, u2} (RingHom.{u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_4) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_4) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_4) (Polynomial.semiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_4))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_4) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_4) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_4) (Polynomial.semiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{u2, u2, u2} (RingHom.{u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_4) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_4) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_4) (Polynomial.semiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_4))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_4) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_4) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_4) (Polynomial.semiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_4) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_4) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_4) (Polynomial.semiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_4)))))) (Polynomial.C.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_4) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4))))) (algebraMap.{u1, u2} R A _inst_3 _inst_4 _inst_5) r))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_3 : CommSemiring.{u1} R] [_inst_4 : Semiring.{u2} A] [_inst_5 : Algebra.{u1, u2} R A _inst_3 _inst_4] (r : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Polynomial.{u2} A _inst_4) r) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Polynomial.{u2} A _inst_4) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) R (Polynomial.{u2} A _inst_4) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Polynomial.{u2} A _inst_4) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) R (Polynomial.{u2} A _inst_4) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4)))))) (algebraMap.{u1, u2} R (Polynomial.{u2} A _inst_4) _inst_3 (Polynomial.semiring.{u2} A _inst_4) (Polynomial.algebraOfAlgebra.{u1, u2} R A _inst_3 _inst_4 _inst_5)) r) (FunLike.coe.{succ u2, succ u2, succ u2} (RingHom.{u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_4) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_4) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_4) (Polynomial.semiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_4))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) => Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_4) _x) (MulHomClass.toFunLike.{u2, u2, u2} (RingHom.{u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_4) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_4) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_4) (Polynomial.semiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_4))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_4) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_4))) (NonUnitalNonAssocSemiring.toMul.{u2} (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_4) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_4) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_4) (Polynomial.semiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{u2, u2, u2} (RingHom.{u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_4) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_4) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_4) (Polynomial.semiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_4))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_4) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_4) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_4) (Polynomial.semiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{u2, u2, u2} (RingHom.{u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_4) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_4) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_4) (Polynomial.semiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_4))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_4) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_4) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_4) (Polynomial.semiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_4) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_4) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_4) (Polynomial.semiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_4)))))) (Polynomial.C.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_4) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4))))) (algebraMap.{u1, u2} R A _inst_3 _inst_4 _inst_5) r))
 Case conversion may be inaccurate. Consider using '#align polynomial.algebra_map_apply Polynomial.algebraMap_applyₓ'. -/
 theorem algebraMap_apply (r : R) : algebraMap R A[X] r = C (algebraMap R A r) :=
   rfl
@@ -77,7 +77,7 @@ theorem algebraMap_apply (r : R) : algebraMap R A[X] r = C (algebraMap R A r) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_3 : CommSemiring.{u1} R] [_inst_4 : Semiring.{u2} A] [_inst_5 : Algebra.{u1, u2} R A _inst_3 _inst_4] (r : R), Eq.{succ u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Polynomial.toFinsupp.{u2} A _inst_4 (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) (fun (_x : RingHom.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) => R -> (Polynomial.{u2} A _inst_4)) (RingHom.hasCoeToFun.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) (algebraMap.{u1, u2} R (Polynomial.{u2} A _inst_4) _inst_3 (Polynomial.semiring.{u2} A _inst_4) (Polynomial.algebraOfAlgebra.{u1, u2} R A _inst_3 _inst_4 _inst_5)) r)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid))) (fun (_x : RingHom.{u1, u2} R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid))) => R -> (AddMonoidAlgebra.{u2, 0} A Nat _inst_4)) (RingHom.hasCoeToFun.{u1, u2} R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid))) (algebraMap.{u1, u2} R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) _inst_3 (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid) (AddMonoidAlgebra.algebra.{u2, 0, u1} A Nat R _inst_3 _inst_4 _inst_5 Nat.addMonoid)) r)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_3 : CommSemiring.{u1} R] [_inst_4 : Semiring.{u2} A] [_inst_5 : Algebra.{u1, u2} R A _inst_3 _inst_4] (r : R), Eq.{succ u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Polynomial.toFinsupp.{u2} A _inst_4 (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Polynomial.{u2} A _inst_4) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) R (Polynomial.{u2} A _inst_4) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Polynomial.{u2} A _inst_4) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) R (Polynomial.{u2} A _inst_4) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4)))))) (algebraMap.{u1, u2} R (Polynomial.{u2} A _inst_4) _inst_3 (Polynomial.semiring.{u2} A _inst_4) (Polynomial.algebraOfAlgebra.{u1, u2} R A _inst_3 _inst_4 _inst_5)) r)) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => AddMonoidAlgebra.{u2, 0} A Nat _inst_4) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid))) R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid))) R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid))) R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid)) (RingHom.instRingHomClassRingHom.{u1, u2} R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid)))))) (algebraMap.{u1, u2} R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) _inst_3 (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid) (AddMonoidAlgebra.algebra.{u2, 0, u1} A Nat R _inst_3 _inst_4 _inst_5 Nat.addMonoid)) r)
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_3 : CommSemiring.{u1} R] [_inst_4 : Semiring.{u2} A] [_inst_5 : Algebra.{u1, u2} R A _inst_3 _inst_4] (r : R), Eq.{succ u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Polynomial.toFinsupp.{u2} A _inst_4 (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Polynomial.{u2} A _inst_4) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) R (Polynomial.{u2} A _inst_4) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Polynomial.{u2} A _inst_4) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) R (Polynomial.{u2} A _inst_4) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4)))))) (algebraMap.{u1, u2} R (Polynomial.{u2} A _inst_4) _inst_3 (Polynomial.semiring.{u2} A _inst_4) (Polynomial.algebraOfAlgebra.{u1, u2} R A _inst_3 _inst_4 _inst_5)) r)) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => AddMonoidAlgebra.{u2, 0} A Nat _inst_4) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid))) R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid))) R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid))) R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid)) (RingHom.instRingHomClassRingHom.{u1, u2} R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid)))))) (algebraMap.{u1, u2} R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) _inst_3 (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid) (AddMonoidAlgebra.algebra.{u2, 0, u1} A Nat R _inst_3 _inst_4 _inst_5 Nat.addMonoid)) r)
 Case conversion may be inaccurate. Consider using '#align polynomial.to_finsupp_algebra_map Polynomial.toFinsupp_algebraMapₓ'. -/
 @[simp]
 theorem toFinsupp_algebraMap (r : R) : (algebraMap R A[X] r).toFinsupp = algebraMap R _ r :=
@@ -91,7 +91,7 @@ theorem toFinsupp_algebraMap (r : R) : (algebraMap R A[X] r).toFinsupp = algebra
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_3 : CommSemiring.{u1} R] [_inst_4 : Semiring.{u2} A] [_inst_5 : Algebra.{u1, u2} R A _inst_3 _inst_4] (r : R), Eq.{succ u2} (Polynomial.{u2} A _inst_4) (Polynomial.ofFinsupp.{u2} A _inst_4 (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid))) (fun (_x : RingHom.{u1, u2} R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid))) => R -> (AddMonoidAlgebra.{u2, 0} A Nat _inst_4)) (RingHom.hasCoeToFun.{u1, u2} R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid))) (algebraMap.{u1, u2} R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) _inst_3 (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid) (AddMonoidAlgebra.algebra.{u2, 0, u1} A Nat R _inst_3 _inst_4 _inst_5 Nat.addMonoid)) r)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) (fun (_x : RingHom.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) => R -> (Polynomial.{u2} A _inst_4)) (RingHom.hasCoeToFun.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) (algebraMap.{u1, u2} R (Polynomial.{u2} A _inst_4) _inst_3 (Polynomial.semiring.{u2} A _inst_4) (Polynomial.algebraOfAlgebra.{u1, u2} R A _inst_3 _inst_4 _inst_5)) r)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_3 : CommSemiring.{u1} R] [_inst_4 : Semiring.{u2} A] [_inst_5 : Algebra.{u1, u2} R A _inst_3 _inst_4] (r : R), Eq.{succ u2} (Polynomial.{u2} A _inst_4) (Polynomial.ofFinsupp.{u2} A _inst_4 (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => AddMonoidAlgebra.{u2, 0} A Nat _inst_4) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid))) R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid))) R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid))) R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid)) (RingHom.instRingHomClassRingHom.{u1, u2} R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid)))))) (algebraMap.{u1, u2} R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) _inst_3 (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid) (AddMonoidAlgebra.algebra.{u2, 0, u1} A Nat R _inst_3 _inst_4 _inst_5 Nat.addMonoid)) r)) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Polynomial.{u2} A _inst_4) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) R (Polynomial.{u2} A _inst_4) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Polynomial.{u2} A _inst_4) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) R (Polynomial.{u2} A _inst_4) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4)))))) (algebraMap.{u1, u2} R (Polynomial.{u2} A _inst_4) _inst_3 (Polynomial.semiring.{u2} A _inst_4) (Polynomial.algebraOfAlgebra.{u1, u2} R A _inst_3 _inst_4 _inst_5)) r)
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_3 : CommSemiring.{u1} R] [_inst_4 : Semiring.{u2} A] [_inst_5 : Algebra.{u1, u2} R A _inst_3 _inst_4] (r : R), Eq.{succ u2} (Polynomial.{u2} A _inst_4) (Polynomial.ofFinsupp.{u2} A _inst_4 (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => AddMonoidAlgebra.{u2, 0} A Nat _inst_4) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid))) R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid))) R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid))) R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid)) (RingHom.instRingHomClassRingHom.{u1, u2} R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid)))))) (algebraMap.{u1, u2} R (AddMonoidAlgebra.{u2, 0} A Nat _inst_4) _inst_3 (AddMonoidAlgebra.semiring.{u2, 0} A Nat _inst_4 Nat.addMonoid) (AddMonoidAlgebra.algebra.{u2, 0, u1} A Nat R _inst_3 _inst_4 _inst_5 Nat.addMonoid)) r)) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Polynomial.{u2} A _inst_4) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) R (Polynomial.{u2} A _inst_4) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Polynomial.{u2} A _inst_4) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) R (Polynomial.{u2} A _inst_4) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4))) R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Polynomial.{u2} A _inst_4) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A _inst_4) (Polynomial.semiring.{u2} A _inst_4)))))) (algebraMap.{u1, u2} R (Polynomial.{u2} A _inst_4) _inst_3 (Polynomial.semiring.{u2} A _inst_4) (Polynomial.algebraOfAlgebra.{u1, u2} R A _inst_3 _inst_4 _inst_5)) r)
 Case conversion may be inaccurate. Consider using '#align polynomial.of_finsupp_algebra_map Polynomial.ofFinsupp_algebraMapₓ'. -/
 theorem ofFinsupp_algebraMap (r : R) : (⟨algebraMap R _ r⟩ : A[X]) = algebraMap R A[X] r :=
   toFinsupp_injective (toFinsupp_algebraMap _).symm
@@ -101,7 +101,7 @@ theorem ofFinsupp_algebraMap (r : R) : (⟨algebraMap R _ r⟩ : A[X]) = algebra
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_3 : CommSemiring.{u1} R] (r : R), Eq.{succ u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (fun (_x : RingHom.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) => R -> (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (RingHom.hasCoeToFun.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (Polynomial.C.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) r) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (fun (_x : RingHom.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) => R -> (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (RingHom.hasCoeToFun.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (algebraMap.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3))) r)
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_3 : CommSemiring.{u1} R] (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) r) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (RingHom.instRingHomClassRingHom.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))))) (Polynomial.C.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) r) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (RingHom.instRingHomClassRingHom.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))))) (algebraMap.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3))) r)
+  forall {R : Type.{u1}} [_inst_3 : CommSemiring.{u1} R] (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) r) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (RingHom.instRingHomClassRingHom.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))))) (Polynomial.C.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) r) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (RingHom.instRingHomClassRingHom.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))))) (algebraMap.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3))) r)
 Case conversion may be inaccurate. Consider using '#align polynomial.C_eq_algebra_map Polynomial.C_eq_algebraMapₓ'. -/
 /-- When we have `[comm_semiring R]`, the function `C` is the same as `algebra_map R R[X]`.
 
@@ -191,7 +191,7 @@ theorem eval₂_algebraMap_X {R A : Type _} [CommSemiring R] [Semiring A] [Algeb
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} [_inst_6 : Ring.{u1} R] [_inst_7 : Ring.{u2} S] (p : Polynomial.{0} Int Int.semiring) (f : RingHom.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6)) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S _inst_7))) (r : R), Eq.{succ u2} S (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6)) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S _inst_7))) (fun (_x : RingHom.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6)) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S _inst_7))) => R -> S) (RingHom.hasCoeToFun.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6)) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S _inst_7))) f (Polynomial.eval₂.{0, u1} Int R Int.semiring (Ring.toSemiring.{u1} R _inst_6) (Int.castRingHom.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6)) r p)) (Polynomial.eval₂.{0, u2} Int S Int.semiring (Ring.toSemiring.{u2} S _inst_7) (Int.castRingHom.{u2} S (Ring.toNonAssocRing.{u2} S _inst_7)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6)) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S _inst_7))) (fun (_x : RingHom.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6)) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S _inst_7))) => R -> S) (RingHom.hasCoeToFun.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6)) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S _inst_7))) f r) p)
 but is expected to have type
-  forall {R : Type.{u2}} {S : Type.{u1}} [_inst_6 : Ring.{u2} R] [_inst_7 : Ring.{u1} S] (p : Polynomial.{0} Int Int.instSemiringInt) (f : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7))) (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) (Polynomial.eval₂.{0, u2} Int R Int.instSemiringInt (Ring.toSemiring.{u2} R _inst_6) (Int.castRingHom.{u2} R (Ring.toNonAssocRing.{u2} R _inst_6)) r p)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7))) R S (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7))) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7))) R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7)) (RingHom.instRingHomClassRingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7)))))) f (Polynomial.eval₂.{0, u2} Int R Int.instSemiringInt (Ring.toSemiring.{u2} R _inst_6) (Int.castRingHom.{u2} R (Ring.toNonAssocRing.{u2} R _inst_6)) r p)) (Polynomial.eval₂.{0, u1} Int S Int.instSemiringInt (Ring.toSemiring.{u1} S _inst_7) (Int.castRingHom.{u1} S (Ring.toNonAssocRing.{u1} S _inst_7)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7))) R S (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7))) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7))) R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7)) (RingHom.instRingHomClassRingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7)))))) f r) p)
+  forall {R : Type.{u2}} {S : Type.{u1}} [_inst_6 : Ring.{u2} R] [_inst_7 : Ring.{u1} S] (p : Polynomial.{0} Int Int.instSemiringInt) (f : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7))) (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) (Polynomial.eval₂.{0, u2} Int R Int.instSemiringInt (Ring.toSemiring.{u2} R _inst_6) (Int.castRingHom.{u2} R (Ring.toNonAssocRing.{u2} R _inst_6)) r p)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7))) R S (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7))) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7))) R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7)) (RingHom.instRingHomClassRingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7)))))) f (Polynomial.eval₂.{0, u2} Int R Int.instSemiringInt (Ring.toSemiring.{u2} R _inst_6) (Int.castRingHom.{u2} R (Ring.toNonAssocRing.{u2} R _inst_6)) r p)) (Polynomial.eval₂.{0, u1} Int S Int.instSemiringInt (Ring.toSemiring.{u1} S _inst_7) (Int.castRingHom.{u1} S (Ring.toNonAssocRing.{u1} S _inst_7)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7))) R S (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7))) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7))) R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7)) (RingHom.instRingHomClassRingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7)))))) f r) p)
 Case conversion may be inaccurate. Consider using '#align polynomial.ring_hom_eval₂_cast_int_ring_hom Polynomial.ringHom_eval₂_cast_int_ringHomₓ'. -/
 -- these used to be about `algebra_map ℤ R`, but now the simp-normal form is `int.cast_ring_hom R`.
 @[simp]
@@ -204,7 +204,7 @@ theorem ringHom_eval₂_cast_int_ringHom {R S : Type _} [Ring R] [Ring S] (p : 
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_6 : Ring.{u1} R] (p : Polynomial.{0} Int Int.semiring) (f : RingHom.{0, u1} (Polynomial.{0} Int Int.semiring) R (NonAssocRing.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.semiring) (Ring.toNonAssocRing.{0} (Polynomial.{0} Int Int.semiring) (Polynomial.ring.{0} Int Int.ring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6))), Eq.{succ u1} R (Polynomial.eval₂.{0, u1} Int R Int.semiring (Ring.toSemiring.{u1} R _inst_6) (Int.castRingHom.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6)) (coeFn.{succ u1, succ u1} (RingHom.{0, u1} (Polynomial.{0} Int Int.semiring) R (NonAssocRing.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.semiring) (Ring.toNonAssocRing.{0} (Polynomial.{0} Int Int.semiring) (Polynomial.ring.{0} Int Int.ring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6))) (fun (_x : RingHom.{0, u1} (Polynomial.{0} Int Int.semiring) R (NonAssocRing.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.semiring) (Ring.toNonAssocRing.{0} (Polynomial.{0} Int Int.semiring) (Polynomial.ring.{0} Int Int.ring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6))) => (Polynomial.{0} Int Int.semiring) -> R) (RingHom.hasCoeToFun.{0, u1} (Polynomial.{0} Int Int.semiring) R (NonAssocRing.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.semiring) (Ring.toNonAssocRing.{0} (Polynomial.{0} Int Int.semiring) (Polynomial.ring.{0} Int Int.ring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6))) f (Polynomial.X.{0} Int Int.semiring)) p) (coeFn.{succ u1, succ u1} (RingHom.{0, u1} (Polynomial.{0} Int Int.semiring) R (NonAssocRing.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.semiring) (Ring.toNonAssocRing.{0} (Polynomial.{0} Int Int.semiring) (Polynomial.ring.{0} Int Int.ring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6))) (fun (_x : RingHom.{0, u1} (Polynomial.{0} Int Int.semiring) R (NonAssocRing.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.semiring) (Ring.toNonAssocRing.{0} (Polynomial.{0} Int Int.semiring) (Polynomial.ring.{0} Int Int.ring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6))) => (Polynomial.{0} Int Int.semiring) -> R) (RingHom.hasCoeToFun.{0, u1} (Polynomial.{0} Int Int.semiring) R (NonAssocRing.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.semiring) (Ring.toNonAssocRing.{0} (Polynomial.{0} Int Int.semiring) (Polynomial.ring.{0} Int Int.ring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6))) f p)
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_6 : Ring.{u1} R] (p : Polynomial.{0} Int Int.instSemiringInt) (f : RingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))), Eq.{succ u1} R (Polynomial.eval₂.{0, u1} Int R Int.instSemiringInt (Ring.toSemiring.{u1} R _inst_6) (Int.castRingHom.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6)) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (Polynomial.{0} Int Int.instSemiringInt) (fun (_x : Polynomial.{0} Int Int.instSemiringInt) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Polynomial.{0} Int Int.instSemiringInt) => R) _x) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (Polynomial.{0} Int Int.instSemiringInt) R (NonUnitalNonAssocSemiring.toMul.{0} (Polynomial.{0} Int Int.instSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6)))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (Polynomial.{0} Int Int.instSemiringInt) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6)) (RingHom.instRingHomClassRingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6)))))) f (Polynomial.X.{0} Int Int.instSemiringInt)) p) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (Polynomial.{0} Int Int.instSemiringInt) (fun (_x : Polynomial.{0} Int Int.instSemiringInt) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Polynomial.{0} Int Int.instSemiringInt) => R) _x) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (Polynomial.{0} Int Int.instSemiringInt) R (NonUnitalNonAssocSemiring.toMul.{0} (Polynomial.{0} Int Int.instSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6)))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (Polynomial.{0} Int Int.instSemiringInt) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6)) (RingHom.instRingHomClassRingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6)))))) f p)
+  forall {R : Type.{u1}} [_inst_6 : Ring.{u1} R] (p : Polynomial.{0} Int Int.instSemiringInt) (f : RingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))), Eq.{succ u1} R (Polynomial.eval₂.{0, u1} Int R Int.instSemiringInt (Ring.toSemiring.{u1} R _inst_6) (Int.castRingHom.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6)) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (Polynomial.{0} Int Int.instSemiringInt) (fun (_x : Polynomial.{0} Int Int.instSemiringInt) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Polynomial.{0} Int Int.instSemiringInt) => R) _x) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (Polynomial.{0} Int Int.instSemiringInt) R (NonUnitalNonAssocSemiring.toMul.{0} (Polynomial.{0} Int Int.instSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6)))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (Polynomial.{0} Int Int.instSemiringInt) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6)) (RingHom.instRingHomClassRingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6)))))) f (Polynomial.X.{0} Int Int.instSemiringInt)) p) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (Polynomial.{0} Int Int.instSemiringInt) (fun (_x : Polynomial.{0} Int Int.instSemiringInt) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Polynomial.{0} Int Int.instSemiringInt) => R) _x) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (Polynomial.{0} Int Int.instSemiringInt) R (NonUnitalNonAssocSemiring.toMul.{0} (Polynomial.{0} Int Int.instSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6)))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (Polynomial.{0} Int Int.instSemiringInt) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6)) (RingHom.instRingHomClassRingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6)))))) f p)
 Case conversion may be inaccurate. Consider using '#align polynomial.eval₂_int_cast_ring_hom_X Polynomial.eval₂_int_castRingHom_Xₓ'. -/
 @[simp]
 theorem eval₂_int_castRingHom_X {R : Type _} [Ring R] (p : ℤ[X]) (f : ℤ[X] →+* R) :
@@ -464,7 +464,7 @@ theorem coeff_zero_eq_aeval_zero (p : R[X]) : p.coeff 0 = aeval 0 p := by
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_3 : CommSemiring.{u1} R] [_inst_4 : Semiring.{u2} A] [_inst_5 : Algebra.{u1, u2} R A _inst_3 _inst_4] (p : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)), Eq.{succ u2} A (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4)) (algebraMap.{u1, u2} R A _inst_3 _inst_4 _inst_5) (Polynomial.coeff.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3) p (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5) (fun (_x : AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5) => (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) -> A) ([anonymous].{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5) (Polynomial.aeval.{u1, u2} R A _inst_3 _inst_4 _inst_5 (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))))) p)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_3 : CommSemiring.{u1} R] [_inst_4 : Semiring.{u2} A] [_inst_5 : Algebra.{u1, u2} R A _inst_3 _inst_4] (p : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) (Polynomial.coeff.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3) p (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4))))) (algebraMap.{u1, u2} R A _inst_3 _inst_4 _inst_5) (Polynomial.coeff.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3) p (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5) (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (fun (_x : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) => A) _x) (SMulHomClass.toFunLike.{max u2 u1, u1, u1, u2} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5) R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A (SMulZeroClass.toSMul.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (AddMonoid.toZero.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (AddCommMonoid.toAddMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (AddMonoid.toAddZeroClass.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (AddCommMonoid.toAddMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (AddCommMonoid.toAddMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))))) (Module.toDistribMulAction.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (Algebra.toModule.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3))))))) (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))))) (DistribMulAction.toDistribSMul.{u1, u2} R A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (Algebra.toModule.{u1, u2} R A _inst_3 _inst_4 _inst_5))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u1, u1, u2} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5) R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (AddCommMonoid.toAddMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))) (Module.toDistribMulAction.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (Algebra.toModule.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (Algebra.toModule.{u1, u2} R A _inst_3 _inst_4 _inst_5)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u1, u1, u2} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5) R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)) (Module.toDistribMulAction.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (Algebra.toModule.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (Algebra.toModule.{u1, u2} R A _inst_3 _inst_4 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u1, u2, max u2 u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5 (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5) (AlgHom.algHomClass.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5))))) (Polynomial.aeval.{u1, u2} R A _inst_3 _inst_4 _inst_5 (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4))))) p)
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_3 : CommSemiring.{u1} R] [_inst_4 : Semiring.{u2} A] [_inst_5 : Algebra.{u1, u2} R A _inst_3 _inst_4] (p : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) (Polynomial.coeff.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3) p (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} A _inst_4))))) (algebraMap.{u1, u2} R A _inst_3 _inst_4 _inst_5) (Polynomial.coeff.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3) p (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5) (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (fun (_x : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) => A) _x) (SMulHomClass.toFunLike.{max u2 u1, u1, u1, u2} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5) R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A (SMulZeroClass.toSMul.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (AddMonoid.toZero.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (AddCommMonoid.toAddMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (AddMonoid.toAddZeroClass.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (AddCommMonoid.toAddMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (AddCommMonoid.toAddMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))))) (Module.toDistribMulAction.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (Algebra.toModule.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3))))))) (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))))) (DistribMulAction.toDistribSMul.{u1, u2} R A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (Algebra.toModule.{u1, u2} R A _inst_3 _inst_4 _inst_5))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u1, u1, u2} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5) R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (AddCommMonoid.toAddMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))) (Module.toDistribMulAction.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (Algebra.toModule.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (Algebra.toModule.{u1, u2} R A _inst_3 _inst_4 _inst_5)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u1, u1, u2} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5) R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)) (Module.toDistribMulAction.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (Algebra.toModule.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (Algebra.toModule.{u1, u2} R A _inst_3 _inst_4 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u1, u2, max u2 u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5 (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5) (AlgHom.algHomClass.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_5))))) (Polynomial.aeval.{u1, u2} R A _inst_3 _inst_4 _inst_5 (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4))))) p)
 Case conversion may be inaccurate. Consider using '#align polynomial.coeff_zero_eq_aeval_zero' Polynomial.coeff_zero_eq_aeval_zero'ₓ'. -/
 theorem coeff_zero_eq_aeval_zero' (p : R[X]) : algebraMap R A (p.coeff 0) = aeval (0 : A) p := by
   simp [aeval_def]
@@ -474,7 +474,7 @@ theorem coeff_zero_eq_aeval_zero' (p : R[X]) : algebraMap R A (p.coeff 0) = aeva
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_3 : CommSemiring.{u1} R] {S : Type.{u2}} {T : Type.{u3}} {U : Type.{u4}} [_inst_8 : CommSemiring.{u2} S] [_inst_9 : CommSemiring.{u3} T] [_inst_10 : Semiring.{u4} U] [_inst_11 : Algebra.{u1, u2} R S _inst_3 (CommSemiring.toSemiring.{u2} S _inst_8)] [_inst_12 : Algebra.{u3, u4} T U _inst_9 _inst_10] {φ : RingHom.{u1, u3} R T (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} T (CommSemiring.toSemiring.{u3} T _inst_9))} {ψ : RingHom.{u2, u4} S U (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8)) (Semiring.toNonAssocSemiring.{u4} U _inst_10)}, (Eq.{max (succ u1) (succ u4)} (RingHom.{u1, u4} R U (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u4} U _inst_10)) (RingHom.comp.{u1, u3, u4} R T U (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} T (CommSemiring.toSemiring.{u3} T _inst_9)) (Semiring.toNonAssocSemiring.{u4} U _inst_10) (algebraMap.{u3, u4} T U _inst_9 _inst_10 _inst_12) φ) (RingHom.comp.{u1, u2, u4} R S U (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8)) (Semiring.toNonAssocSemiring.{u4} U _inst_10) ψ (algebraMap.{u1, u2} R S _inst_3 (CommSemiring.toSemiring.{u2} S _inst_8) _inst_11))) -> (forall (p : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (a : S), Eq.{succ u4} U (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (RingHom.{u2, u4} S U (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8)) (Semiring.toNonAssocSemiring.{u4} U _inst_10)) (fun (_x : RingHom.{u2, u4} S U (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8)) (Semiring.toNonAssocSemiring.{u4} U _inst_10)) => S -> U) (RingHom.hasCoeToFun.{u2, u4} S U (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8)) (Semiring.toNonAssocSemiring.{u4} U _inst_10)) ψ (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) S _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u2} S _inst_8) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_11) (fun (_x : AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) S _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u2} S _inst_8) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_11) => (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) -> S) ([anonymous].{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) S _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u2} S _inst_8) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_11) (Polynomial.aeval.{u1, u2} R S _inst_3 (CommSemiring.toSemiring.{u2} S _inst_8) _inst_11 a) p)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (AlgHom.{u3, u3, u4} T (Polynomial.{u3} T (CommSemiring.toSemiring.{u3} T _inst_9)) U _inst_9 (Polynomial.semiring.{u3} T (CommSemiring.toSemiring.{u3} T _inst_9)) _inst_10 (Polynomial.algebraOfAlgebra.{u3, u3} T T _inst_9 (CommSemiring.toSemiring.{u3} T _inst_9) (Algebra.id.{u3} T _inst_9)) _inst_12) (fun (_x : AlgHom.{u3, u3, u4} T (Polynomial.{u3} T (CommSemiring.toSemiring.{u3} T _inst_9)) U _inst_9 (Polynomial.semiring.{u3} T (CommSemiring.toSemiring.{u3} T _inst_9)) _inst_10 (Polynomial.algebraOfAlgebra.{u3, u3} T T _inst_9 (CommSemiring.toSemiring.{u3} T _inst_9) (Algebra.id.{u3} T _inst_9)) _inst_12) => (Polynomial.{u3} T (CommSemiring.toSemiring.{u3} T _inst_9)) -> U) ([anonymous].{u3, u3, u4} T (Polynomial.{u3} T (CommSemiring.toSemiring.{u3} T _inst_9)) U _inst_9 (Polynomial.semiring.{u3} T (CommSemiring.toSemiring.{u3} T _inst_9)) _inst_10 (Polynomial.algebraOfAlgebra.{u3, u3} T T _inst_9 (CommSemiring.toSemiring.{u3} T _inst_9) (Algebra.id.{u3} T _inst_9)) _inst_12) (Polynomial.aeval.{u3, u4} T U _inst_9 _inst_10 _inst_12 (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (RingHom.{u2, u4} S U (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8)) (Semiring.toNonAssocSemiring.{u4} U _inst_10)) (fun (_x : RingHom.{u2, u4} S U (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8)) (Semiring.toNonAssocSemiring.{u4} U _inst_10)) => S -> U) (RingHom.hasCoeToFun.{u2, u4} S U (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8)) (Semiring.toNonAssocSemiring.{u4} U _inst_10)) ψ a)) (Polynomial.map.{u1, u3} R T (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} T _inst_9) φ p)))
 but is expected to have type
-  forall {R : Type.{u4}} [_inst_3 : CommSemiring.{u4} R] {S : Type.{u3}} {T : Type.{u2}} {U : Type.{u1}} [_inst_8 : CommSemiring.{u3} S] [_inst_9 : CommSemiring.{u2} T] [_inst_10 : Semiring.{u1} U] [_inst_11 : Algebra.{u4, u3} R S _inst_3 (CommSemiring.toSemiring.{u3} S _inst_8)] [_inst_12 : Algebra.{u2, u1} T U _inst_9 _inst_10] {φ : RingHom.{u4, u2} R T (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9))} {ψ : RingHom.{u3, u1} S U (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10)}, (Eq.{max (succ u4) (succ u1)} (RingHom.{u4, u1} R U (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} U _inst_10)) (RingHom.comp.{u4, u2, u1} R T U (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (Semiring.toNonAssocSemiring.{u1} U _inst_10) (algebraMap.{u2, u1} T U _inst_9 _inst_10 _inst_12) φ) (RingHom.comp.{u4, u3, u1} R S U (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10) ψ (algebraMap.{u4, u3} R S _inst_3 (CommSemiring.toSemiring.{u3} S _inst_8) _inst_11))) -> (forall (p : Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (a : S), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => U) (FunLike.coe.{max (succ u3) (succ u4), succ u4, succ u3} (AlgHom.{u4, u4, u3} R (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) S _inst_3 (Polynomial.semiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (CommSemiring.toSemiring.{u3} S _inst_8) (Polynomial.algebraOfAlgebra.{u4, u4} R R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_3) (Algebra.id.{u4} R _inst_3)) _inst_11) (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (fun (a : Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) => S) a) (SMulHomClass.toFunLike.{max u3 u4, u4, u4, u3} (AlgHom.{u4, u4, u3} R (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) S _inst_3 (Polynomial.semiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (CommSemiring.toSemiring.{u3} S _inst_8) (Polynomial.algebraOfAlgebra.{u4, u4} R R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_3) (Algebra.id.{u4} R _inst_3)) _inst_11) R (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) S (SMulZeroClass.toSMul.{u4, u4} R (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (AddMonoid.toZero.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (AddCommMonoid.toAddMonoid.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) 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(CommSemiring.toSemiring.{u4} R _inst_3)) (Polynomial.algebraOfAlgebra.{u4, u4} R R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_3) (Algebra.id.{u4} R _inst_3)))) (Module.toDistribMulAction.{u4, u3} R S (CommSemiring.toSemiring.{u4} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)))) (Algebra.toModule.{u4, u3} R S _inst_3 (CommSemiring.toSemiring.{u3} S _inst_8) _inst_11)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u3 u4, u4, u4, u3} (AlgHom.{u4, u4, u3} R (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) S _inst_3 (Polynomial.semiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (CommSemiring.toSemiring.{u3} S _inst_8) (Polynomial.algebraOfAlgebra.{u4, u4} R R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_3) (Algebra.id.{u4} R _inst_3)) _inst_11) R (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) S 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(Polynomial.aeval.{u4, u3} R S _inst_3 (CommSemiring.toSemiring.{u3} S _inst_8) _inst_11 a) p)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (AlgHom.{u2, u2, u1} T (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => U) a) _inst_9 (Polynomial.semiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) _inst_10 (Polynomial.algebraOfAlgebra.{u2, u2} T T _inst_9 (CommSemiring.toSemiring.{u2} T _inst_9) (Algebra.id.{u2} T _inst_9)) _inst_12) (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (fun (_x : Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => U) a) _x) (SMulHomClass.toFunLike.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} T (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) ((fun 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(Polynomial.semiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) _inst_10 (Polynomial.algebraOfAlgebra.{u2, u2} T T _inst_9 (CommSemiring.toSemiring.{u2} T _inst_9) (Algebra.id.{u2} T _inst_9)) _inst_12) T (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => U) a) (MonoidWithZero.toMonoid.{u2} T (Semiring.toMonoidWithZero.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (Polynomial.semiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)))))) (AddCommMonoid.toAddMonoid.{u1} ((fun 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_inst_9)) _inst_9 (Polynomial.semiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (Polynomial.algebraOfAlgebra.{u2, u2} T T _inst_9 (CommSemiring.toSemiring.{u2} T _inst_9) (Algebra.id.{u2} T _inst_9)))) (Module.toDistribMulAction.{u2, u1} T ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => U) a) (CommSemiring.toSemiring.{u2} T _inst_9) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => U) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => U) a) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => U) a) _inst_10))) (Algebra.toModule.{u2, u1} T ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => U) a) _inst_9 _inst_10 _inst_12)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} T (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => U) a) _inst_9 (Polynomial.semiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) _inst_10 (Polynomial.algebraOfAlgebra.{u2, u2} T T _inst_9 (CommSemiring.toSemiring.{u2} T _inst_9) (Algebra.id.{u2} T _inst_9)) _inst_12) T (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => U) a) (MonoidWithZero.toMonoid.{u2} T (Semiring.toMonoidWithZero.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (Polynomial.semiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => U) a) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => U) a) _inst_10)) (Module.toDistribMulAction.{u2, u2} T (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (CommSemiring.toSemiring.{u2} T _inst_9) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (Polynomial.semiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9))))) (Algebra.toModule.{u2, u2} T (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) _inst_9 (Polynomial.semiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (Polynomial.algebraOfAlgebra.{u2, u2} T T _inst_9 (CommSemiring.toSemiring.{u2} T _inst_9) (Algebra.id.{u2} T _inst_9)))) (Module.toDistribMulAction.{u2, u1} T ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => U) a) (CommSemiring.toSemiring.{u2} T _inst_9) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => U) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => U) a) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => U) a) _inst_10))) (Algebra.toModule.{u2, u1} T ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => U) a) _inst_9 _inst_10 _inst_12)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, u1, max u1 u2} T (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => U) a) _inst_9 (Polynomial.semiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) _inst_10 (Polynomial.algebraOfAlgebra.{u2, u2} T T _inst_9 (CommSemiring.toSemiring.{u2} T _inst_9) (Algebra.id.{u2} T _inst_9)) _inst_12 (AlgHom.{u2, u2, u1} T (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => U) a) _inst_9 (Polynomial.semiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) _inst_10 (Polynomial.algebraOfAlgebra.{u2, u2} T T _inst_9 (CommSemiring.toSemiring.{u2} T _inst_9) (Algebra.id.{u2} T _inst_9)) _inst_12) (AlgHom.algHomClass.{u2, u2, u1} T (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => U) a) _inst_9 (Polynomial.semiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) _inst_10 (Polynomial.algebraOfAlgebra.{u2, u2} T T _inst_9 (CommSemiring.toSemiring.{u2} T _inst_9) (Algebra.id.{u2} T _inst_9)) _inst_12))))) (Polynomial.aeval.{u2, u1} T ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => U) a) _inst_9 _inst_10 _inst_12 (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (RingHom.{u3, u1} S U (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10)) S (fun (_x : S) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => U) _x) (MulHomClass.toFunLike.{max u3 u1, u3, u1} (RingHom.{u3, u1} S U (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10)) S U (NonUnitalNonAssocSemiring.toMul.{u3} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)))) (NonUnitalNonAssocSemiring.toMul.{u1} U (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} U (Semiring.toNonAssocSemiring.{u1} U _inst_10))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} S U (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10)) S U (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} U (Semiring.toNonAssocSemiring.{u1} U _inst_10)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} S U (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10)) S U (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10) (RingHom.instRingHomClassRingHom.{u3, u1} S U (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10))))) ψ a)) (Polynomial.map.{u4, u2} R T (CommSemiring.toSemiring.{u4} R _inst_3) (CommSemiring.toSemiring.{u2} T _inst_9) φ p)))
+  forall {R : Type.{u4}} [_inst_3 : CommSemiring.{u4} R] {S : Type.{u3}} {T : Type.{u2}} {U : Type.{u1}} [_inst_8 : CommSemiring.{u3} S] [_inst_9 : CommSemiring.{u2} T] [_inst_10 : Semiring.{u1} U] [_inst_11 : Algebra.{u4, u3} R S _inst_3 (CommSemiring.toSemiring.{u3} S _inst_8)] [_inst_12 : Algebra.{u2, u1} T U _inst_9 _inst_10] {φ : RingHom.{u4, u2} R T (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9))} {ψ : RingHom.{u3, u1} S U (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10)}, (Eq.{max (succ u4) (succ u1)} (RingHom.{u4, u1} R U (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} U _inst_10)) (RingHom.comp.{u4, u2, u1} R T U (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (Semiring.toNonAssocSemiring.{u1} U _inst_10) (algebraMap.{u2, u1} T U _inst_9 _inst_10 _inst_12) φ) (RingHom.comp.{u4, u3, u1} R S U (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10) ψ (algebraMap.{u4, u3} R S _inst_3 (CommSemiring.toSemiring.{u3} S _inst_8) _inst_11))) -> (forall (p : Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (a : S), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) (FunLike.coe.{max (succ u3) (succ u4), succ u4, succ u3} (AlgHom.{u4, u4, u3} R (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) S _inst_3 (Polynomial.semiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (CommSemiring.toSemiring.{u3} S _inst_8) (Polynomial.algebraOfAlgebra.{u4, u4} R R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_3) (Algebra.id.{u4} R _inst_3)) _inst_11) (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (fun (a : Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) => S) a) (SMulHomClass.toFunLike.{max u3 u4, u4, u4, u3} (AlgHom.{u4, u4, u3} R (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) S _inst_3 (Polynomial.semiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (CommSemiring.toSemiring.{u3} S _inst_8) (Polynomial.algebraOfAlgebra.{u4, u4} R R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_3) (Algebra.id.{u4} R _inst_3)) _inst_11) R (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) S (SMulZeroClass.toSMul.{u4, u4} R (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (AddMonoid.toZero.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (AddCommMonoid.toAddMonoid.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Semiring.toNonAssocSemiring.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Polynomial.semiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u4, u4} R (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (AddMonoid.toAddZeroClass.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (AddCommMonoid.toAddMonoid.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Semiring.toNonAssocSemiring.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Polynomial.semiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u4, u4} R (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3))) (AddCommMonoid.toAddMonoid.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Semiring.toNonAssocSemiring.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Polynomial.semiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)))))) (Module.toDistribMulAction.{u4, u4} R (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (CommSemiring.toSemiring.{u4} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Semiring.toNonAssocSemiring.{u4} (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Polynomial.semiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3))))) (Algebra.toModule.{u4, u4} R (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) _inst_3 (Polynomial.semiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Polynomial.algebraOfAlgebra.{u4, u4} R R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_3) (Algebra.id.{u4} R _inst_3))))))) (SMulZeroClass.toSMul.{u4, u3} R S (AddMonoid.toZero.{u3} S (AddCommMonoid.toAddMonoid.{u3} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)))))) (DistribSMul.toSMulZeroClass.{u4, u3} R S (AddMonoid.toAddZeroClass.{u3} S (AddCommMonoid.toAddMonoid.{u3} 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(x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) _inst_9 (Polynomial.semiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) _inst_10 (Polynomial.algebraOfAlgebra.{u2, u2} T T _inst_9 (CommSemiring.toSemiring.{u2} T _inst_9) (Algebra.id.{u2} T _inst_9)) _inst_12) T (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) (MonoidWithZero.toMonoid.{u2} T (Semiring.toMonoidWithZero.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (Polynomial.semiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) _inst_10)) (Module.toDistribMulAction.{u2, u2} T (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (CommSemiring.toSemiring.{u2} T _inst_9) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (Polynomial.semiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9))))) (Algebra.toModule.{u2, u2} T (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) _inst_9 (Polynomial.semiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) (Polynomial.algebraOfAlgebra.{u2, u2} T T _inst_9 (CommSemiring.toSemiring.{u2} T _inst_9) (Algebra.id.{u2} T _inst_9)))) (Module.toDistribMulAction.{u2, u1} T ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) (CommSemiring.toSemiring.{u2} T _inst_9) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) _inst_10))) (Algebra.toModule.{u2, u1} T ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) _inst_9 _inst_10 _inst_12)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, u1, max u1 u2} T (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) _inst_9 (Polynomial.semiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) _inst_10 (Polynomial.algebraOfAlgebra.{u2, u2} T T _inst_9 (CommSemiring.toSemiring.{u2} T _inst_9) (Algebra.id.{u2} T _inst_9)) _inst_12 (AlgHom.{u2, u2, u1} T (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) _inst_9 (Polynomial.semiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) _inst_10 (Polynomial.algebraOfAlgebra.{u2, u2} T T _inst_9 (CommSemiring.toSemiring.{u2} T _inst_9) (Algebra.id.{u2} T _inst_9)) _inst_12) (AlgHom.algHomClass.{u2, u2, u1} T (Polynomial.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) _inst_9 (Polynomial.semiring.{u2} T (CommSemiring.toSemiring.{u2} T _inst_9)) _inst_10 (Polynomial.algebraOfAlgebra.{u2, u2} T T _inst_9 (CommSemiring.toSemiring.{u2} T _inst_9) (Algebra.id.{u2} T _inst_9)) _inst_12))))) (Polynomial.aeval.{u2, u1} T ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) a) _inst_9 _inst_10 _inst_12 (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (RingHom.{u3, u1} S U (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10)) S (fun (_x : S) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => U) _x) (MulHomClass.toFunLike.{max u3 u1, u3, u1} (RingHom.{u3, u1} S U (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10)) S U (NonUnitalNonAssocSemiring.toMul.{u3} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)))) (NonUnitalNonAssocSemiring.toMul.{u1} U (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} U (Semiring.toNonAssocSemiring.{u1} U _inst_10))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} S U (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10)) S U (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} U (Semiring.toNonAssocSemiring.{u1} U _inst_10)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} S U (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10)) S U (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10) (RingHom.instRingHomClassRingHom.{u3, u1} S U (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10))))) ψ a)) (Polynomial.map.{u4, u2} R T (CommSemiring.toSemiring.{u4} R _inst_3) (CommSemiring.toSemiring.{u2} T _inst_9) φ p)))
 Case conversion may be inaccurate. Consider using '#align polynomial.map_aeval_eq_aeval_map Polynomial.map_aeval_eq_aeval_mapₓ'. -/
 theorem map_aeval_eq_aeval_map {S T U : Type _} [CommSemiring S] [CommSemiring T] [Semiring U]
     [Algebra R S] [Algebra T U] {φ : R →+* T} {ψ : S →+* U}
@@ -531,7 +531,7 @@ theorem aeval_eq_sum_range' [Algebra R S] {p : R[X]} {n : ℕ} (hn : p.natDegree
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} [_inst_3 : CommSemiring.{u1} R] {p : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)} [_inst_8 : Semiring.{u2} S] {f : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)}, (Function.Injective.{succ u1, succ u2} R S (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) (fun (_x : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) => R -> S) (RingHom.hasCoeToFun.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) f)) -> (forall {r : R}, (Eq.{succ u2} S (Polynomial.eval₂.{u1, u2} R S (CommSemiring.toSemiring.{u1} R _inst_3) _inst_8 f (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) (fun (_x : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) => R -> S) (RingHom.hasCoeToFun.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) f r) p) (OfNat.ofNat.{u2} S 0 (OfNat.mk.{u2} S 0 (Zero.zero.{u2} S (MulZeroClass.toHasZero.{u2} S (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_8)))))))) -> (Polynomial.IsRoot.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3) p r))
 but is expected to have type
-  forall {R : Type.{u1}} {S : Type.{u2}} [_inst_3 : CommSemiring.{u1} R] {p : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)} [_inst_8 : Semiring.{u2} S] {f : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)}, (Function.Injective.{succ u1, succ u2} R S (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R S (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_8))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_8)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8) (RingHom.instRingHomClassRingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8))))) f)) -> (forall {r : R}, (Eq.{succ u2} S (Polynomial.eval₂.{u1, u2} R S (CommSemiring.toSemiring.{u1} R _inst_3) _inst_8 f (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R S (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_8))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_8)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8) (RingHom.instRingHomClassRingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8))))) f r) p) (OfNat.ofNat.{u2} S 0 (Zero.toOfNat0.{u2} S (MonoidWithZero.toZero.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_8))))) -> (Polynomial.IsRoot.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3) p r))
+  forall {R : Type.{u1}} {S : Type.{u2}} [_inst_3 : CommSemiring.{u1} R] {p : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)} [_inst_8 : Semiring.{u2} S] {f : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)}, (Function.Injective.{succ u1, succ u2} R S (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R S (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_8))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_8)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8) (RingHom.instRingHomClassRingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8))))) f)) -> (forall {r : R}, (Eq.{succ u2} S (Polynomial.eval₂.{u1, u2} R S (CommSemiring.toSemiring.{u1} R _inst_3) _inst_8 f (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R S (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_8))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_8)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8) (RingHom.instRingHomClassRingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8))))) f r) p) (OfNat.ofNat.{u2} S 0 (Zero.toOfNat0.{u2} S (MonoidWithZero.toZero.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_8))))) -> (Polynomial.IsRoot.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3) p r))
 Case conversion may be inaccurate. Consider using '#align polynomial.is_root_of_eval₂_map_eq_zero Polynomial.isRoot_of_eval₂_map_eq_zeroₓ'. -/
 theorem isRoot_of_eval₂_map_eq_zero (hf : Function.Injective f) {r : R} :
     eval₂ f (f r) p = 0 → p.IsRoot r := by
@@ -544,7 +544,7 @@ theorem isRoot_of_eval₂_map_eq_zero (hf : Function.Injective f) {r : R} :
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} [_inst_3 : CommSemiring.{u1} R] [_inst_8 : Semiring.{u2} S] [_inst_9 : Algebra.{u1, u2} R S _inst_3 _inst_8] {p : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)}, (Function.Injective.{succ u1, succ u2} R S (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) (fun (_x : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) => R -> S) (RingHom.hasCoeToFun.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) (algebraMap.{u1, u2} R S _inst_3 _inst_8 _inst_9))) -> (forall {r : R}, (Eq.{succ u2} S (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) S _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9) (fun (_x : AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) S _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9) => (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) -> S) ([anonymous].{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) S _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9) (Polynomial.aeval.{u1, u2} R S _inst_3 _inst_8 _inst_9 (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) (fun (_x : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) => R -> S) (RingHom.hasCoeToFun.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) (algebraMap.{u1, u2} R S _inst_3 _inst_8 _inst_9) r)) p) (OfNat.ofNat.{u2} S 0 (OfNat.mk.{u2} S 0 (Zero.zero.{u2} S (MulZeroClass.toHasZero.{u2} S (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_8)))))))) -> (Polynomial.IsRoot.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3) p r))
 but is expected to have type
-  forall {R : Type.{u1}} {S : Type.{u2}} [_inst_3 : CommSemiring.{u1} R] [_inst_8 : Semiring.{u2} S] [_inst_9 : Algebra.{u1, u2} R S _inst_3 _inst_8] {p : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)}, (Function.Injective.{succ u1, succ u2} R S (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R S (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_8))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_8)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8) (RingHom.instRingHomClassRingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8))))) (algebraMap.{u1, u2} R S _inst_3 _inst_8 _inst_9))) -> (forall {r : R}, (Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) p) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9) (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (fun (_x : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) _x) (SMulHomClass.toFunLike.{max u2 u1, u1, u1, u2} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9) R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) (SMulZeroClass.toSMul.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (AddMonoid.toZero.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (AddCommMonoid.toAddMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (AddMonoid.toAddZeroClass.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (AddCommMonoid.toAddMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (AddCommMonoid.toAddMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))))) (Module.toDistribMulAction.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (Algebra.toModule.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3))))))) (SMulZeroClass.toSMul.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) (AddMonoid.toZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) (AddCommMonoid.toAddMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) _inst_8))))) (DistribSMul.toSMulZeroClass.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) (AddMonoid.toAddZeroClass.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) (AddCommMonoid.toAddMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) _inst_8))))) (DistribMulAction.toDistribSMul.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) _inst_8)))) (Module.toDistribMulAction.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) _inst_8))) (Algebra.toModule.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) _inst_3 _inst_8 _inst_9))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u1, u1, u2} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9) R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (AddCommMonoid.toAddMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))))) (AddCommMonoid.toAddMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) _inst_8)))) (Module.toDistribMulAction.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (Algebra.toModule.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)))) (Module.toDistribMulAction.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) _inst_8))) (Algebra.toModule.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) _inst_3 _inst_8 _inst_9)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u1, u1, u2} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9) R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) _inst_8)) (Module.toDistribMulAction.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (Algebra.toModule.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)))) (Module.toDistribMulAction.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) _inst_8))) (Algebra.toModule.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) _inst_3 _inst_8 _inst_9)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u1, u2, max u2 u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9 (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9) (AlgHom.algHomClass.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9))))) (Polynomial.aeval.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) _inst_3 _inst_8 _inst_9 (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R S (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_8))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_8)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8) (RingHom.instRingHomClassRingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8))))) (algebraMap.{u1, u2} R S _inst_3 _inst_8 _inst_9) r)) p) (OfNat.ofNat.{u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) p) 0 (Zero.toOfNat0.{u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) p) (MonoidWithZero.toZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) p) (Semiring.toMonoidWithZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) p) _inst_8))))) -> (Polynomial.IsRoot.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3) p r))
+  forall {R : Type.{u1}} {S : Type.{u2}} [_inst_3 : CommSemiring.{u1} R] [_inst_8 : Semiring.{u2} S] [_inst_9 : Algebra.{u1, u2} R S _inst_3 _inst_8] {p : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)}, (Function.Injective.{succ u1, succ u2} R S (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R S (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 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(algebraMap.{u1, u2} R S _inst_3 _inst_8 _inst_9))) -> (forall {r : R}, (Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) p) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9) (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (fun (_x : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) 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(NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_8)))) (Module.toDistribMulAction.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_8))) (Algebra.toModule.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_3 _inst_8 _inst_9))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u1, u1, u2} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9) R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (AddCommMonoid.toAddMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))))) (AddCommMonoid.toAddMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_8)))) (Module.toDistribMulAction.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (Algebra.toModule.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)))) (Module.toDistribMulAction.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_8))) (Algebra.toModule.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_3 _inst_8 _inst_9)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u1, u1, u2} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9) R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_8)) (Module.toDistribMulAction.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (Algebra.toModule.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)))) (Module.toDistribMulAction.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_8))) (Algebra.toModule.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_3 _inst_8 _inst_9)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u1, u2, max u2 u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9 (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9) (AlgHom.algHomClass.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) _inst_9))))) (Polynomial.aeval.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_3 _inst_8 _inst_9 (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R S (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_8))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_8)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8)) R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8) (RingHom.instRingHomClassRingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} S _inst_8))))) (algebraMap.{u1, u2} R S _inst_3 _inst_8 _inst_9) r)) p) (OfNat.ofNat.{u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) p) 0 (Zero.toOfNat0.{u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) p) (MonoidWithZero.toZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) p) (Semiring.toMonoidWithZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) p) _inst_8))))) -> (Polynomial.IsRoot.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3) p r))
 Case conversion may be inaccurate. Consider using '#align polynomial.is_root_of_aeval_algebra_map_eq_zero Polynomial.isRoot_of_aeval_algebraMap_eq_zeroₓ'. -/
 theorem isRoot_of_aeval_algebraMap_eq_zero [Algebra R S] {p : R[X]}
     (inj : Function.Injective (algebraMap R S)) {r : R} (hr : aeval (algebraMap R S r) p = 0) :
@@ -585,7 +585,7 @@ theorem aevalTower_X : aevalTower g y X = y :=
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} {A' : Type.{u3}} [_inst_1 : CommSemiring.{u3} A'] [_inst_3 : CommSemiring.{u1} R] [_inst_8 : CommSemiring.{u2} S] [_inst_9 : Algebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3)] [_inst_10 : Algebra.{u2, u3} S A' _inst_8 (CommSemiring.toSemiring.{u3} A' _inst_1)] (g : AlgHom.{u2, u1, u3} S R A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 _inst_10) (y : A') (x : R), Eq.{succ u3} A' (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (AlgHom.{u2, u1, u3} S (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u3} A' _inst_1) (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9) _inst_10) (fun (_x : AlgHom.{u2, u1, u3} S (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u3} A' _inst_1) (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9) _inst_10) => (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) -> A') ([anonymous].{u2, u1, u3} S (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u3} A' _inst_1) (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9) _inst_10) (Polynomial.aevalTower.{u1, u2, u3} R S A' _inst_1 _inst_3 _inst_8 _inst_9 _inst_10 g y) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (fun (_x : RingHom.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) => R -> (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (RingHom.hasCoeToFun.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (Polynomial.C.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) x)) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (AlgHom.{u2, u1, u3} S R A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 _inst_10) (fun (_x : AlgHom.{u2, u1, u3} S R A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 _inst_10) => R -> A') ([anonymous].{u2, u1, u3} S R A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 _inst_10) g x)
 but is expected to have type
-  forall {R : Type.{u2}} {S : Type.{u3}} {A' : Type.{u1}} [_inst_1 : CommSemiring.{u1} A'] [_inst_3 : CommSemiring.{u2} R] [_inst_8 : CommSemiring.{u3} S] [_inst_9 : Algebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3)] [_inst_10 : Algebra.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1)] (g : AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) (y : A') (x : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A') (FunLike.coe.{succ u2, succ u2, succ u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) a) (MulHomClass.toFunLike.{u2, u2, u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R 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(Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (RingHom.instRingHomClassRingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (Polynomial.C.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) x)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : R) => A') _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) S R A' (SMulZeroClass.toSMul.{u3, u2} S R (AddMonoid.toZero.{u2} R (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (DistribSMul.toSMulZeroClass.{u3, u2} S R (AddMonoid.toAddZeroClass.{u2} R (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (DistribMulAction.toDistribSMul.{u3, u2} S R (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9))))) (SMulZeroClass.toSMul.{u3, u1} S A' (AddMonoid.toZero.{u1} A' (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))))) (DistribSMul.toSMulZeroClass.{u3, u1} S A' (AddMonoid.toAddZeroClass.{u1} A' (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))))) (DistribMulAction.toDistribSMul.{u3, u1} S A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))))) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) S R A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) S R A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, u2, u1, max u2 u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10 (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) (AlgHom.algHomClass.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10))))) g x)
+  forall {R : Type.{u2}} {S : Type.{u3}} {A' : Type.{u1}} [_inst_1 : CommSemiring.{u1} A'] [_inst_3 : CommSemiring.{u2} R] [_inst_8 : CommSemiring.{u3} S] [_inst_9 : Algebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3)] [_inst_10 : Algebra.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1)] (g : AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) (y : A') (x : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A') (FunLike.coe.{succ u2, succ u2, succ u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) a) (MulHomClass.toFunLike.{u2, u2, u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{u2, u2, u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{u2, u2, u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (RingHom.instRingHomClassRingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (Polynomial.C.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) x)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AlgHom.{u3, u2, u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10) (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (fun (_x : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A') _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10) S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' (SMulZeroClass.toSMul.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} R 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(CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) S R A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, u2, u1, max u2 u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10 (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) (AlgHom.algHomClass.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10))))) g x)
 Case conversion may be inaccurate. Consider using '#align polynomial.aeval_tower_C Polynomial.aevalTower_Cₓ'. -/
 @[simp]
 theorem aevalTower_C (x : R) : aevalTower g y (C x) = g x :=
@@ -607,7 +607,7 @@ theorem aevalTower_comp_C : (aevalTower g y : R[X] →+* A').comp C = g :=
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} {A' : Type.{u3}} [_inst_1 : CommSemiring.{u3} A'] [_inst_3 : CommSemiring.{u1} R] [_inst_8 : CommSemiring.{u2} S] [_inst_9 : Algebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3)] [_inst_10 : Algebra.{u2, u3} S A' _inst_8 (CommSemiring.toSemiring.{u3} A' _inst_1)] (g : AlgHom.{u2, u1, u3} S R A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 _inst_10) (y : A') (x : R), Eq.{succ u3} A' (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (AlgHom.{u2, u1, u3} S (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u3} A' _inst_1) (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9) _inst_10) (fun (_x : AlgHom.{u2, u1, u3} S (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u3} A' _inst_1) (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9) _inst_10) => (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) -> A') ([anonymous].{u2, u1, u3} S (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u3} A' _inst_1) (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9) _inst_10) (Polynomial.aevalTower.{u1, u2, u3} R S A' _inst_1 _inst_3 _inst_8 _inst_9 _inst_10 g y) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (fun (_x : RingHom.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) => R -> (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (RingHom.hasCoeToFun.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (algebraMap.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3))) x)) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (AlgHom.{u2, u1, u3} S R A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 _inst_10) (fun (_x : AlgHom.{u2, u1, u3} S R A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 _inst_10) => R -> A') ([anonymous].{u2, u1, u3} S R A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 _inst_10) g x)
 but is expected to have type
-  forall {R : Type.{u2}} {S : Type.{u3}} {A' : Type.{u1}} [_inst_1 : CommSemiring.{u1} A'] [_inst_3 : CommSemiring.{u2} R] [_inst_8 : CommSemiring.{u3} S] [_inst_9 : Algebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3)] [_inst_10 : Algebra.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1)] (g : AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) (y : A') (x : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A') (FunLike.coe.{succ u2, succ u2, succ u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) a) (MulHomClass.toFunLike.{u2, u2, u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{u2, u2, u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{u2, u2, u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (RingHom.instRingHomClassRingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (algebraMap.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3))) x)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AlgHom.{u3, u2, u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10) (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (fun (_x : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A') _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10) S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' (SMulZeroClass.toSMul.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) 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(Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) S R A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' 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_inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) S R A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, u2, u1, max u2 u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10 (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) (AlgHom.algHomClass.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10))))) g x)
+  forall {R : Type.{u2}} {S : Type.{u3}} {A' : Type.{u1}} [_inst_1 : CommSemiring.{u1} A'] [_inst_3 : CommSemiring.{u2} R] [_inst_8 : CommSemiring.{u3} S] [_inst_9 : Algebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3)] [_inst_10 : Algebra.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1)] (g : AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) (y : A') (x : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A') (FunLike.coe.{succ u2, succ u2, succ u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) a) (MulHomClass.toFunLike.{u2, u2, u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{u2, u2, u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{u2, u2, u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (RingHom.instRingHomClassRingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (algebraMap.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3))) x)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AlgHom.{u3, u2, u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10) (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (fun (_x : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A') _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10) S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' (SMulZeroClass.toSMul.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)))))) (SMulZeroClass.toSMul.{u3, u1} S A' (AddMonoid.toZero.{u1} A' (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))))) (DistribSMul.toSMulZeroClass.{u3, u1} S A' (AddMonoid.toAddZeroClass.{u1} A' (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))))) (DistribMulAction.toDistribSMul.{u3, u1} S A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))))) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10) S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))))) (Module.toDistribMulAction.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9))) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10) S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))) (Module.toDistribMulAction.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9))) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, u2, u1, max u2 u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10 (AlgHom.{u3, u2, u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10) (AlgHom.algHomClass.{u3, u2, u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10))))) (Polynomial.aevalTower.{u2, u3, u1} R S A' _inst_1 _inst_3 _inst_8 _inst_9 _inst_10 g y) (FunLike.coe.{succ u2, succ u2, succ u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _x) (MulHomClass.toFunLike.{u2, u2, u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{u2, u2, u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{u2, u2, u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (RingHom.instRingHomClassRingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (algebraMap.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3))) x)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : R) => A') _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) S R A' (SMulZeroClass.toSMul.{u3, u2} S R (AddMonoid.toZero.{u2} R (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (DistribSMul.toSMulZeroClass.{u3, u2} S R (AddMonoid.toAddZeroClass.{u2} R (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (DistribMulAction.toDistribSMul.{u3, u2} S R (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9))))) (SMulZeroClass.toSMul.{u3, u1} S A' (AddMonoid.toZero.{u1} A' (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))))) (DistribSMul.toSMulZeroClass.{u3, u1} S A' (AddMonoid.toAddZeroClass.{u1} A' (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))))) (DistribMulAction.toDistribSMul.{u3, u1} S A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))))) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) S R A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) S R A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, u2, u1, max u2 u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10 (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) (AlgHom.algHomClass.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10))))) g x)
 Case conversion may be inaccurate. Consider using '#align polynomial.aeval_tower_algebra_map Polynomial.aevalTower_algebraMapₓ'. -/
 @[simp]
 theorem aevalTower_algebraMap (x : R) : aevalTower g y (algebraMap R R[X] x) = g x :=
@@ -722,7 +722,7 @@ variable [Ring R]
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_3 : Ring.{u1} R] {p : Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)} (r : R), Eq.{succ u1} R (Polynomial.eval.{u1} R (Ring.toSemiring.{u1} R _inst_3) r (HMul.hMul.{u1, u1, u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (instHMul.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.mul'.{u1} R (Ring.toSemiring.{u1} R _inst_3))) p (HSub.hSub.{u1, u1, u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (instHSub.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.sub.{u1} R _inst_3)) (Polynomial.X.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)))) (fun (_x : RingHom.{u1, u1} R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)))) => R -> (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3))) (RingHom.hasCoeToFun.{u1, u1} R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)))) (Polynomial.C.{u1} R (Ring.toSemiring.{u1} R _inst_3)) r)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R _inst_3))))))))
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_3 : Ring.{u1} R] {p : Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)} (r : R), Eq.{succ u1} R (Polynomial.eval.{u1} R (Ring.toSemiring.{u1} R _inst_3) r (HMul.hMul.{u1, u1, u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (instHMul.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.mul'.{u1} R (Ring.toSemiring.{u1} R _inst_3))) p (HSub.hSub.{u1, u1, u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) r) (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (instHSub.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.sub.{u1} R _inst_3)) (Polynomial.X.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)))) R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)))) R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)))) R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3))) (RingHom.instRingHomClassRingHom.{u1, u1} R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3))))))) (Polynomial.C.{u1} R (Ring.toSemiring.{u1} R _inst_3)) r)))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_3)))))
+  forall {R : Type.{u1}} [_inst_3 : Ring.{u1} R] {p : Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)} (r : R), Eq.{succ u1} R (Polynomial.eval.{u1} R (Ring.toSemiring.{u1} R _inst_3) r (HMul.hMul.{u1, u1, u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (instHMul.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.mul'.{u1} R (Ring.toSemiring.{u1} R _inst_3))) p (HSub.hSub.{u1, u1, u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) r) (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (instHSub.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.sub.{u1} R _inst_3)) (Polynomial.X.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)))) R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)))) R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)))) R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3))) (RingHom.instRingHomClassRingHom.{u1, u1} R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3))))))) (Polynomial.C.{u1} R (Ring.toSemiring.{u1} R _inst_3)) r)))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_3)))))
 Case conversion may be inaccurate. Consider using '#align polynomial.eval_mul_X_sub_C Polynomial.eval_mul_X_sub_Cₓ'. -/
 /-- The evaluation map is not generally multiplicative when the coefficient ring is noncommutative,
 but nevertheless any polynomial of the form `p * (X - monomial 0 r)` is sent to zero
@@ -755,7 +755,7 @@ theorem eval_mul_X_sub_C {p : R[X]} (r : R) : (p * (X - C r)).eval r = 0 :=
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_3 : Ring.{u1} R] [_inst_4 : Nontrivial.{u1} R] (r : R), Not (IsUnit.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Ring.toMonoid.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.ring.{u1} R _inst_3)) (HSub.hSub.{u1, u1, u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (instHSub.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.sub.{u1} R _inst_3)) (Polynomial.X.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)))) (fun (_x : RingHom.{u1, u1} R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)))) => R -> (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3))) (RingHom.hasCoeToFun.{u1, u1} R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)))) (Polynomial.C.{u1} R (Ring.toSemiring.{u1} R _inst_3)) r)))
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_3 : Ring.{u1} R] [_inst_4 : Nontrivial.{u1} R] (r : R), Not (IsUnit.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (MonoidWithZero.toMonoid.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toMonoidWithZero.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)))) (HSub.hSub.{u1, u1, u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) r) (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (instHSub.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.sub.{u1} R _inst_3)) (Polynomial.X.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)))) R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)))) R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)))) R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3))) (RingHom.instRingHomClassRingHom.{u1, u1} R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3))))))) (Polynomial.C.{u1} R (Ring.toSemiring.{u1} R _inst_3)) r)))
+  forall {R : Type.{u1}} [_inst_3 : Ring.{u1} R] [_inst_4 : Nontrivial.{u1} R] (r : R), Not (IsUnit.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (MonoidWithZero.toMonoid.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toMonoidWithZero.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)))) (HSub.hSub.{u1, u1, u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) r) (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (instHSub.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.sub.{u1} R _inst_3)) (Polynomial.X.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)))) R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)))) R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)))) R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3))) (RingHom.instRingHomClassRingHom.{u1, u1} R (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R (Ring.toSemiring.{u1} R _inst_3)) (Polynomial.semiring.{u1} R (Ring.toSemiring.{u1} R _inst_3))))))) (Polynomial.C.{u1} R (Ring.toSemiring.{u1} R _inst_3)) r)))
 Case conversion may be inaccurate. Consider using '#align polynomial.not_is_unit_X_sub_C Polynomial.not_isUnit_X_sub_Cₓ'. -/
 theorem not_isUnit_X_sub_C [Nontrivial R] (r : R) : ¬IsUnit (X - C r) :=
   fun ⟨⟨_, g, hfg, hgf⟩, rfl⟩ => zero_ne_one' R <| by erw [← eval_mul_X_sub_C, hgf, eval_one]

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

@@ -767,7 +767,7 @@ end Ring
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_3 : CommRing.{u1} R] [_inst_4 : AddCommGroup.{u2} M] [_inst_5 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4)] (f : LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) (v : M) (p : Polynomial.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3))), Eq.{succ u2} M (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) (LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u1} R _inst_3) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) (Module.End.semiring.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u1, u1} R R (CommRing.toCommSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) (Module.End.algebra.{u1, u2} R M (CommRing.toCommSemiring.{u1} R _inst_3) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5)) (fun (_x : AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) (LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u1} R _inst_3) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) (Module.End.semiring.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u1, u1} R R (CommRing.toCommSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) (Module.End.algebra.{u1, u2} R M (CommRing.toCommSemiring.{u1} R _inst_3) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5)) => (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) -> (LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5)) ([anonymous].{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) (LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u1} R _inst_3) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) (Module.End.semiring.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u1, u1} R R (CommRing.toCommSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) (Module.End.algebra.{u1, u2} R M (CommRing.toCommSemiring.{u1} R _inst_3) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5)) (Polynomial.aeval.{u1, u2} R (LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u1} R _inst_3) (Module.End.semiring.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5) (Module.End.algebra.{u1, u2} R M (CommRing.toCommSemiring.{u1} R _inst_3) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5) f) p) v) (Polynomial.sum.{u1, u2} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) p (fun (n : Nat) (b : R) => SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5)))) b (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3))))) (HPow.hPow.{u2, 0, u2} (LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) Nat (LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) (instHPow.{u2, 0} (LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) Nat (Monoid.Pow.{u2} (LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) (Module.End.monoid.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5))) f n) v)))
 but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_3 : CommRing.{u2} R] [_inst_4 : AddCommGroup.{u1} M] [_inst_5 : Module.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4)] (f : LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (v : M) (p : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (FunLike.coe.{succ u1, succ u1, succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) p) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)) (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (_x : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) _x) (SMulHomClass.toFunLike.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (SMulZeroClass.toSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribSMul.toSMulZeroClass.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribMulAction.toDistribSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SMulZeroClass.toSMul.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (AddMonoid.toZero.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) 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(AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) 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(AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))) (Algebra.toModule.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, u1, max u1 u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) 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_inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)) (AlgHom.algHomClass.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) 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(Polynomial.aeval.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) f) p) v) (Polynomial.sum.{u2, u1} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (AddCommGroup.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) _inst_4) p (fun (n : Nat) (b : R) => HSMul.hSMul.{u2, u1, u1} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (instHSMul.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (SMulZeroClass.toSMul.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (NegZeroClass.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (SubNegZeroMonoid.toNegZeroClass.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (SubtractionMonoid.toSubNegZeroMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (SubtractionCommMonoid.toSubtractionMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (AddCommGroup.toDivisionAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NegZeroClass.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (SubNegZeroMonoid.toNegZeroClass.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (SubtractionMonoid.toSubNegZeroMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (SubtractionCommMonoid.toSubtractionMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (AddCommGroup.toDivisionAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NegZeroClass.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (SubNegZeroMonoid.toNegZeroClass.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (SubtractionMonoid.toSubNegZeroMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (SubtractionCommMonoid.toSubtractionMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (AddCommGroup.toDivisionAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) _inst_4))))) (Module.toMulActionWithZero.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) _inst_4) _inst_5))))) b (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (HPow.hPow.{u1, 0, u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) Nat (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (instHPow.{u1, 0} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) Nat (Monoid.Pow.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.monoid.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5))) f n) v)))
+  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_3 : CommRing.{u2} R] [_inst_4 : AddCommGroup.{u1} M] [_inst_5 : Module.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4)] (f : LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (v : M) (p : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) v) (FunLike.coe.{succ u1, succ u1, succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) p) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)) (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (_x : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) _x) (SMulHomClass.toFunLike.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (SMulZeroClass.toSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribSMul.toSMulZeroClass.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribMulAction.toDistribSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SMulZeroClass.toSMul.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (AddMonoid.toZero.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))))) (DistribSMul.toSMulZeroClass.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))))) (DistribMulAction.toDistribSMul.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5))))) (Module.toDistribMulAction.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))) (Algebra.toModule.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R 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(CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))) (Algebra.toModule.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) 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(CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) 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(AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, u1, max u1 u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) 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_inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)) (AlgHom.algHomClass.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))))) (Polynomial.aeval.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) f) p) v) (Polynomial.sum.{u2, u1} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) v) (AddCommGroup.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) v) _inst_4) p (fun (n : Nat) (b : R) => HSMul.hSMul.{u2, u1, u1} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) v) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) v) (instHSMul.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) v) (SMulZeroClass.toSMul.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) v) (NegZeroClass.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) v) (SubNegZeroMonoid.toNegZeroClass.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) v) (SubtractionMonoid.toSubNegZeroMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) v) (SubtractionCommMonoid.toSubtractionMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) v) (AddCommGroup.toDivisionAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) v) _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) v) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NegZeroClass.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) v) (SubNegZeroMonoid.toNegZeroClass.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) v) (SubtractionMonoid.toSubNegZeroMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) v) (SubtractionCommMonoid.toSubtractionMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) v) (AddCommGroup.toDivisionAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) v) _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) v) (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NegZeroClass.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) v) (SubNegZeroMonoid.toNegZeroClass.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) v) (SubtractionMonoid.toSubNegZeroMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) v) (SubtractionCommMonoid.toSubtractionMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) v) (AddCommGroup.toDivisionAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) v) _inst_4))))) (Module.toMulActionWithZero.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) v) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) v) _inst_4) _inst_5))))) b (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (HPow.hPow.{u1, 0, u1} 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(CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) Nat (Monoid.Pow.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.monoid.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5))) f n) v)))
 Case conversion may be inaccurate. Consider using '#align polynomial.aeval_endomorphism Polynomial.aeval_endomorphismₓ'. -/
 theorem aeval_endomorphism {M : Type _} [CommRing R] [AddCommGroup M] [Module R M] (f : M →ₗ[R] M)
     (v : M) (p : R[X]) : aeval f p v = p.Sum fun n b => b • (f ^ n) v :=

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

@@ -118,7 +118,7 @@ variable {R}
 lean 3 declaration is
   forall {R : Type.{u1}} {A' : Type.{u2}} {B' : Type.{u3}} [_inst_1 : CommSemiring.{u2} A'] [_inst_2 : Semiring.{u3} B'] [_inst_3 : CommSemiring.{u1} R] [_inst_6 : Algebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1)] [_inst_7 : Algebra.{u1, u3} R B' _inst_3 _inst_2] {f : AlgHom.{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7} {g : AlgHom.{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7}, (Eq.{max (succ u2) (succ u3)} (AlgHom.{u1, u2, u3} R A' B' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_2 _inst_6 _inst_7) (AlgHom.comp.{u1, u2, u2, u3} R A' (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 _inst_6 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7 f (IsScalarTower.toAlgHom.{u1, u2, u2} R A' (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_3 _inst_1 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_6 (Polynomial.algebraOfAlgebra.{u2, u2} A' A' _inst_1 (CommSemiring.toSemiring.{u2} A' _inst_1) (Algebra.id.{u2} A' _inst_1)) (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) (Polynomial.isScalarTower.{u2, u1, u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1) R A' (SMulZeroClass.toHasSmul.{u1, u2} R A' (AddZeroClass.toHasZero.{u2} A' (AddMonoid.toAddZeroClass.{u2} A' (AddCommMonoid.toAddMonoid.{u2} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A' (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (AddZeroClass.toHasZero.{u2} A' (AddMonoid.toAddZeroClass.{u2} A' (AddCommMonoid.toAddMonoid.{u2} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A' (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (AddZeroClass.toHasZero.{u2} A' (AddMonoid.toAddZeroClass.{u2} A' (AddCommMonoid.toAddMonoid.{u2} A' 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_inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A' (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (MulZeroClass.toHasZero.{u2} A' (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))) (Module.toMulActionWithZero.{u1, u2} R A' (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) (Algebra.toModule.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6)))) (SMulWithZero.toSmulZeroClass.{u2, u2} A' A' (MulZeroClass.toHasZero.{u2} A' (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))) (MulZeroClass.toHasZero.{u2} A' (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))) (MulZeroClass.toSMulWithZero.{u2} A' (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))))) (IsScalarTower.right.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6)))) (AlgHom.comp.{u1, u2, u2, u3} R A' (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 _inst_6 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7 g (IsScalarTower.toAlgHom.{u1, u2, u2} R A' (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) 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(AddZeroClass.toHasZero.{u2} A' (AddMonoid.toAddZeroClass.{u2} A' (AddCommMonoid.toAddMonoid.{u2} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A' (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (AddZeroClass.toHasZero.{u2} A' (AddMonoid.toAddZeroClass.{u2} A' (AddCommMonoid.toAddMonoid.{u2} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))))) (Module.toMulActionWithZero.{u1, u2} R A' (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) (Algebra.toModule.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A' (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (MulZeroClass.toHasZero.{u2} A' (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A' (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (MulZeroClass.toHasZero.{u2} A' (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))) (Module.toMulActionWithZero.{u1, u2} R A' (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) (Algebra.toModule.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6)))) (SMulWithZero.toSmulZeroClass.{u2, u2} A' A' (MulZeroClass.toHasZero.{u2} A' (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))) (MulZeroClass.toHasZero.{u2} A' (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))) (MulZeroClass.toSMulWithZero.{u2} A' (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))))) (IsScalarTower.right.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6))))) -> (Eq.{succ u3} B' (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AlgHom.{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) (fun (_x : AlgHom.{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) => (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) -> B') ([anonymous].{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) f (Polynomial.X.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AlgHom.{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) (fun (_x : AlgHom.{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) => (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) -> B') ([anonymous].{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) g (Polynomial.X.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) -> (Eq.{max (succ u2) (succ u3)} (AlgHom.{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) f g)
 but is expected to have type
-  forall {R : Type.{u3}} {A' : Type.{u2}} {B' : Type.{u1}} [_inst_1 : CommSemiring.{u2} A'] [_inst_2 : Semiring.{u1} B'] [_inst_3 : CommSemiring.{u3} R] [_inst_6 : Algebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1)] [_inst_7 : Algebra.{u3, u1} R B' _inst_3 _inst_2] {f : AlgHom.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7} {g : AlgHom.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7}, (Eq.{max (succ u2) (succ u1)} (AlgHom.{u3, u2, u1} R A' B' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_2 _inst_6 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(Algebra.toModule.{u3, u1} R B' _inst_3 _inst_2 _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))))) (AddCommMonoid.toAddMonoid.{u1} B' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B' (Semiring.toNonAssocSemiring.{u1} B' _inst_2)))) (Module.toDistribMulAction.{u3, u2} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))) (Algebra.toModule.{u3, u2} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6))) (Module.toDistribMulAction.{u3, u1} R B' (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B' (Semiring.toNonAssocSemiring.{u1} B' _inst_2))) (Algebra.toModule.{u3, u1} R B' _inst_3 _inst_2 _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B' (Semiring.toNonAssocSemiring.{u1} B' _inst_2)) (Module.toDistribMulAction.{u3, u2} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))) (Algebra.toModule.{u3, u2} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6))) (Module.toDistribMulAction.{u3, u1} R B' (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B' (Semiring.toNonAssocSemiring.{u1} B' _inst_2))) (Algebra.toModule.{u3, u1} R B' _inst_3 _inst_2 _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, u2, u1, max u2 u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7 (AlgHom.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) (AlgHom.algHomClass.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7))))) g (Polynomial.X.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) -> (Eq.{max (succ u2) (succ u1)} (AlgHom.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) f g)
+  forall {R : Type.{u3}} {A' : Type.{u2}} {B' : Type.{u1}} [_inst_1 : CommSemiring.{u2} A'] [_inst_2 : Semiring.{u1} B'] [_inst_3 : CommSemiring.{u3} R] [_inst_6 : Algebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1)] [_inst_7 : Algebra.{u3, u1} R B' _inst_3 _inst_2] {f : AlgHom.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7} {g : AlgHom.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7}, (Eq.{max (succ u2) (succ u1)} (AlgHom.{u3, u2, u1} R A' B' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_2 _inst_6 _inst_7) (AlgHom.comp.{u3, u2, u2, u1} R A' (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 _inst_6 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7 f (IsScalarTower.toAlgHom.{u3, u2, u2} R A' (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_3 _inst_1 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_6 (Polynomial.algebraOfAlgebra.{u2, u2} A' A' _inst_1 (CommSemiring.toSemiring.{u2} A' _inst_1) (Algebra.id.{u2} A' _inst_1)) (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) (Polynomial.isScalarTower.{u2, u3, u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1) R A' (Algebra.toSMul.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) (SMulWithZero.toSMulZeroClass.{u3, u2} R A' (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_3)) (MonoidWithZero.toZero.{u2} A' (Semiring.toMonoidWithZero.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))) (MulActionWithZero.toSMulWithZero.{u3, u2} R A' (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (MonoidWithZero.toZero.{u2} A' (Semiring.toMonoidWithZero.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))) (Module.toMulActionWithZero.{u3, u2} R A' (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) (Algebra.toModule.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A' A' (CommMonoidWithZero.toZero.{u2} A' (CommSemiring.toCommMonoidWithZero.{u2} A' _inst_1)) (MonoidWithZero.toZero.{u2} A' (Semiring.toMonoidWithZero.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))) (MulActionWithZero.toSMulWithZero.{u2, u2} A' A' (Semiring.toMonoidWithZero.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (MonoidWithZero.toZero.{u2} A' (Semiring.toMonoidWithZero.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))) (Module.toMulActionWithZero.{u2, u2} A' A' (CommSemiring.toSemiring.{u2} A' _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) (Algebra.toModule.{u2, u2} A' A' _inst_1 (CommSemiring.toSemiring.{u2} A' _inst_1) (Algebra.id.{u2} A' _inst_1))))) (IsScalarTower.right.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6)))) (AlgHom.comp.{u3, u2, u2, u1} R A' (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 _inst_6 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7 g (IsScalarTower.toAlgHom.{u3, u2, u2} R A' (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_3 _inst_1 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_6 (Polynomial.algebraOfAlgebra.{u2, u2} A' A' _inst_1 (CommSemiring.toSemiring.{u2} A' _inst_1) (Algebra.id.{u2} A' _inst_1)) (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) (Polynomial.isScalarTower.{u2, u3, u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1) R A' (Algebra.toSMul.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) (SMulWithZero.toSMulZeroClass.{u3, u2} R A' (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_3)) (MonoidWithZero.toZero.{u2} A' (Semiring.toMonoidWithZero.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))) (MulActionWithZero.toSMulWithZero.{u3, u2} R A' (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (MonoidWithZero.toZero.{u2} A' (Semiring.toMonoidWithZero.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))) (Module.toMulActionWithZero.{u3, u2} R A' (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) (Algebra.toModule.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A' A' (CommMonoidWithZero.toZero.{u2} A' (CommSemiring.toCommMonoidWithZero.{u2} A' _inst_1)) (MonoidWithZero.toZero.{u2} A' (Semiring.toMonoidWithZero.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))) (MulActionWithZero.toSMulWithZero.{u2, u2} A' A' (Semiring.toMonoidWithZero.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (MonoidWithZero.toZero.{u2} A' (Semiring.toMonoidWithZero.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))) (Module.toMulActionWithZero.{u2, u2} A' A' (CommSemiring.toSemiring.{u2} A' _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) (Algebra.toModule.{u2, u2} A' A' _inst_1 (CommSemiring.toSemiring.{u2} A' _inst_1) (Algebra.id.{u2} A' _inst_1))))) (IsScalarTower.right.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6))))) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) => B') (Polynomial.X.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AlgHom.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) 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(DistribMulAction.toDistribSMul.{u3, u1} R B' (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))) (AddCommMonoid.toAddMonoid.{u1} B' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B' (Semiring.toNonAssocSemiring.{u1} B' _inst_2)))) (Module.toDistribMulAction.{u3, u1} R B' (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B' (Semiring.toNonAssocSemiring.{u1} B' _inst_2))) (Algebra.toModule.{u3, u1} R B' _inst_3 _inst_2 _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) R 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(NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))) (Algebra.toModule.{u3, u2} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6))) (Module.toDistribMulAction.{u3, u1} R B' (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B' (Semiring.toNonAssocSemiring.{u1} B' _inst_2))) (Algebra.toModule.{u3, u1} R B' _inst_3 _inst_2 _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B' (Semiring.toNonAssocSemiring.{u1} B' _inst_2)) (Module.toDistribMulAction.{u3, u2} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))) (Algebra.toModule.{u3, u2} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6))) (Module.toDistribMulAction.{u3, u1} R B' (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B' (Semiring.toNonAssocSemiring.{u1} B' _inst_2))) (Algebra.toModule.{u3, u1} R B' _inst_3 _inst_2 _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, u2, u1, max u2 u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7 (AlgHom.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) (AlgHom.algHomClass.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7))))) g (Polynomial.X.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) -> (Eq.{max (succ u2) (succ u1)} (AlgHom.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) f g)
 Case conversion may be inaccurate. Consider using '#align polynomial.alg_hom_ext' Polynomial.algHom_ext'ₓ'. -/
 /-- Extensionality lemma for algebra maps out of `A'[X]` over a smaller base ring than `A'`
 -/
@@ -629,7 +629,7 @@ theorem aevalTower_comp_algebraMap : (aevalTower g y : R[X] →+* A').comp (alge
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} {A' : Type.{u3}} [_inst_1 : CommSemiring.{u3} A'] [_inst_3 : CommSemiring.{u1} R] [_inst_8 : CommSemiring.{u2} S] [_inst_9 : Algebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3)] [_inst_10 : Algebra.{u2, u3} S A' _inst_8 (CommSemiring.toSemiring.{u3} A' _inst_1)] (g : AlgHom.{u2, u1, u3} S R A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 _inst_10) (y : A') (x : R), Eq.{succ u3} A' (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (AlgHom.{u2, u1, u3} S (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u3} A' _inst_1) (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9) _inst_10) (fun (_x : AlgHom.{u2, u1, u3} S (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u3} A' _inst_1) (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9) _inst_10) => (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) -> A') ([anonymous].{u2, u1, u3} S (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u3} A' _inst_1) (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9) _inst_10) (Polynomial.aevalTower.{u1, u2, u3} R S A' _inst_1 _inst_3 _inst_8 _inst_9 _inst_10 g y) (coeFn.{succ u1, succ u1} (AlgHom.{u2, u1, u1} S R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_9 (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9)) (fun (_x : AlgHom.{u2, u1, u1} S R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_9 (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9)) => R -> (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) ([anonymous].{u2, u1, u1} S R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_9 (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9)) (IsScalarTower.toAlgHom.{u2, u1, u1} S R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_9 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9) (Polynomial.isScalarTower.{u1, u2, u1} R (CommSemiring.toSemiring.{u1} R _inst_3) S R (SMulZeroClass.toHasSmul.{u2, u1} S R (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))))) (SMulWithZero.toSmulZeroClass.{u2, u1} S R (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8))))) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))))) (MulActionWithZero.toSMulWithZero.{u2, u1} S R (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8)) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))))) (Module.toMulActionWithZero.{u2, u1} S R (CommSemiring.toSemiring.{u2} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (Algebra.toModule.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9))))) (SMulWithZero.toSmulZeroClass.{u2, u1} S R (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u1} S R (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8)) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (Module.toMulActionWithZero.{u2, u1} S R (CommSemiring.toSemiring.{u2} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (Algebra.toModule.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9)))) (SMulWithZero.toSmulZeroClass.{u1, u1} R R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (MulZeroClass.toSMulWithZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))))) (IsScalarTower.right.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9))) x)) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (AlgHom.{u2, u1, u3} S R A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 _inst_10) (fun (_x : AlgHom.{u2, u1, u3} S R A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 _inst_10) => R -> A') ([anonymous].{u2, u1, u3} S R A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 _inst_10) g x)
 but is expected to have type
-  forall {R : Type.{u2}} {S : Type.{u3}} {A' : Type.{u1}} [_inst_1 : CommSemiring.{u1} A'] [_inst_3 : CommSemiring.{u2} R] [_inst_8 : CommSemiring.{u3} S] [_inst_9 : Algebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3)] [_inst_10 : Algebra.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1)] (g : AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) (y : A') (x : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A') (FunLike.coe.{succ u2, succ u2, succ u2} (AlgHom.{u3, u2, u2} S R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_9 (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) R (fun (a : R) => (fun 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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9))) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, 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_inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, u2, u1, max u2 u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10 (AlgHom.{u3, u2, u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10) (AlgHom.algHomClass.{u3, u2, u1} S (Polynomial.{u2} R 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_inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) (Module.toDistribMulAction.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{u2, u3, u2, u2} (AlgHom.{u3, u2, u2} S R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_9 (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) S R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) (Module.toDistribMulAction.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, u2, u2, u2} S R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_9 (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) (AlgHom.{u3, u2, u2} S R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_9 (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) (AlgHom.algHomClass.{u3, u2, u2} S R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_9 (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)))))) (IsScalarTower.toAlgHom.{u3, u2, u2} S R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_9 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) (Polynomial.isScalarTower.{u2, u3, u2} R (CommSemiring.toSemiring.{u2} R _inst_3) S R (Algebra.toSMul.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) (Module.toDistribMulAction.{u2, u2} R R (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (IsScalarTower.right.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9))) x)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : R) => A') _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) S R A' (SMulZeroClass.toSMul.{u3, u2} S R (AddMonoid.toZero.{u2} R (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (DistribSMul.toSMulZeroClass.{u3, u2} S R (AddMonoid.toAddZeroClass.{u2} R (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (DistribMulAction.toDistribSMul.{u3, u2} S R (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9))))) (SMulZeroClass.toSMul.{u3, u1} S A' (AddMonoid.toZero.{u1} A' (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))))) (DistribSMul.toSMulZeroClass.{u3, u1} S A' (AddMonoid.toAddZeroClass.{u1} A' (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))))) (DistribMulAction.toDistribSMul.{u3, u1} S A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))))) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) S R A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) S R A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, u2, u1, max u2 u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10 (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) (AlgHom.algHomClass.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10))))) g x)
+  forall {R : Type.{u2}} {S : Type.{u3}} {A' : Type.{u1}} [_inst_1 : CommSemiring.{u1} A'] [_inst_3 : CommSemiring.{u2} R] [_inst_8 : CommSemiring.{u3} S] [_inst_9 : Algebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3)] [_inst_10 : Algebra.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1)] (g : AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) (y : A') (x : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A') (FunLike.coe.{succ u2, succ u2, succ u2} (AlgHom.{u3, u2, u2} S R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_9 (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : R) => Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) a) (SMulHomClass.toFunLike.{u2, u3, u2, u2} (AlgHom.{u3, u2, u2} S R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_9 (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) S R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (SMulZeroClass.toSMul.{u3, u2} S R (AddMonoid.toZero.{u2} R (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (DistribSMul.toSMulZeroClass.{u3, u2} S R (AddMonoid.toAddZeroClass.{u2} R (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (DistribMulAction.toDistribSMul.{u3, u2} S R (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9))))) (SMulZeroClass.toSMul.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toZero.{u2} (Polynomial.{u2} R 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(Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_9 (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)))))) (IsScalarTower.toAlgHom.{u3, u2, u2} S R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_9 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) (Polynomial.isScalarTower.{u2, u3, u2} R (CommSemiring.toSemiring.{u2} R _inst_3) S R (Algebra.toSMul.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) (SMulWithZero.toSMulZeroClass.{u3, u2} S R (CommMonoidWithZero.toZero.{u3} S (CommSemiring.toCommMonoidWithZero.{u3} S _inst_8)) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (MulActionWithZero.toSMulWithZero.{u3, u2} S R (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (Module.toMulActionWithZero.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)))) (SMulWithZero.toSMulZeroClass.{u2, u2} R R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_3)) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (MulActionWithZero.toSMulWithZero.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (Module.toMulActionWithZero.{u2, u2} R R (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3))))) (IsScalarTower.right.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9))) x)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : R) => A') _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) S R A' (SMulZeroClass.toSMul.{u3, u2} S R (AddMonoid.toZero.{u2} R (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (DistribSMul.toSMulZeroClass.{u3, u2} S R (AddMonoid.toAddZeroClass.{u2} R (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (DistribMulAction.toDistribSMul.{u3, u2} S R (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9))))) (SMulZeroClass.toSMul.{u3, u1} S A' (AddMonoid.toZero.{u1} A' (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))))) (DistribSMul.toSMulZeroClass.{u3, u1} S A' (AddMonoid.toAddZeroClass.{u1} A' (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))))) (DistribMulAction.toDistribSMul.{u3, u1} S A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))))) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) S R A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) S R A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, u2, u1, max u2 u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10 (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) (AlgHom.algHomClass.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10))))) g x)
 Case conversion may be inaccurate. Consider using '#align polynomial.aeval_tower_to_alg_hom Polynomial.aevalTower_toAlgHomₓ'. -/
 theorem aevalTower_toAlgHom (x : R) : aevalTower g y (IsScalarTower.toAlgHom S R R[X] x) = g x :=
   aevalTower_algebraMap _ _ _
@@ -639,7 +639,7 @@ theorem aevalTower_toAlgHom (x : R) : aevalTower g y (IsScalarTower.toAlgHom S R
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} {A' : Type.{u3}} [_inst_1 : CommSemiring.{u3} A'] [_inst_3 : CommSemiring.{u1} R] [_inst_8 : CommSemiring.{u2} S] [_inst_9 : Algebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3)] [_inst_10 : Algebra.{u2, u3} S A' _inst_8 (CommSemiring.toSemiring.{u3} A' _inst_1)] (g : AlgHom.{u2, u1, u3} S R A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 _inst_10) (y : A'), Eq.{max (succ u1) (succ u3)} (AlgHom.{u2, u1, u3} S R A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 _inst_10) (AlgHom.comp.{u2, u1, u1, u3} S R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9) _inst_10 (Polynomial.aevalTower.{u1, u2, u3} R S A' _inst_1 _inst_3 _inst_8 _inst_9 _inst_10 g y) (IsScalarTower.toAlgHom.{u2, u1, u1} S R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_9 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9) (Polynomial.isScalarTower.{u1, u2, u1} R (CommSemiring.toSemiring.{u1} R _inst_3) S R (SMulZeroClass.toHasSmul.{u2, u1} S R (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))))) (SMulWithZero.toSmulZeroClass.{u2, u1} S R (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8))))) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))))) (MulActionWithZero.toSMulWithZero.{u2, u1} S R (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8)) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))))) (Module.toMulActionWithZero.{u2, u1} S R (CommSemiring.toSemiring.{u2} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (Algebra.toModule.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9))))) (SMulWithZero.toSmulZeroClass.{u2, u1} S R (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u1} S R (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8)) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (Module.toMulActionWithZero.{u2, u1} S R (CommSemiring.toSemiring.{u2} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (Algebra.toModule.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9)))) (SMulWithZero.toSmulZeroClass.{u1, u1} R R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (MulZeroClass.toSMulWithZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))))) (IsScalarTower.right.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9)))) g
 but is expected to have type
-  forall {R : Type.{u2}} {S : Type.{u3}} {A' : Type.{u1}} [_inst_1 : CommSemiring.{u1} A'] [_inst_3 : CommSemiring.{u2} R] [_inst_8 : CommSemiring.{u3} S] [_inst_9 : Algebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3)] [_inst_10 : Algebra.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1)] (g : AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) (y : A'), Eq.{max (succ u2) (succ u1)} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) (AlgHom.comp.{u3, u2, u2, u1} S R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10 (Polynomial.aevalTower.{u2, u3, u1} R S A' _inst_1 _inst_3 _inst_8 _inst_9 _inst_10 g y) (IsScalarTower.toAlgHom.{u3, u2, u2} S R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_9 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) (Polynomial.isScalarTower.{u2, u3, u2} R (CommSemiring.toSemiring.{u2} R _inst_3) S R (Algebra.toSMul.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) (Module.toDistribMulAction.{u2, u2} R R (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (IsScalarTower.right.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)))) g
+  forall {R : Type.{u2}} {S : Type.{u3}} {A' : Type.{u1}} [_inst_1 : CommSemiring.{u1} A'] [_inst_3 : CommSemiring.{u2} R] [_inst_8 : CommSemiring.{u3} S] [_inst_9 : Algebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3)] [_inst_10 : Algebra.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1)] (g : AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) (y : A'), Eq.{max (succ u2) (succ u1)} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) (AlgHom.comp.{u3, u2, u2, u1} S R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10 (Polynomial.aevalTower.{u2, u3, u1} R S A' _inst_1 _inst_3 _inst_8 _inst_9 _inst_10 g y) (IsScalarTower.toAlgHom.{u3, u2, u2} S R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_9 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) (Polynomial.isScalarTower.{u2, u3, u2} R (CommSemiring.toSemiring.{u2} R _inst_3) S R (Algebra.toSMul.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) (SMulWithZero.toSMulZeroClass.{u3, u2} S R (CommMonoidWithZero.toZero.{u3} S (CommSemiring.toCommMonoidWithZero.{u3} S _inst_8)) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (MulActionWithZero.toSMulWithZero.{u3, u2} S R (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (Module.toMulActionWithZero.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)))) (SMulWithZero.toSMulZeroClass.{u2, u2} R R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_3)) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (MulActionWithZero.toSMulWithZero.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (Module.toMulActionWithZero.{u2, u2} R R (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3))))) (IsScalarTower.right.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)))) g
 Case conversion may be inaccurate. Consider using '#align polynomial.aeval_tower_comp_to_alg_hom Polynomial.aevalTower_comp_toAlgHomₓ'. -/
 @[simp]
 theorem aevalTower_comp_toAlgHom : (aevalTower g y).comp (IsScalarTower.toAlgHom S R R[X]) = g :=

mathlib commit https://github.com/leanprover-community/mathlib/commit/cc5dd6244981976cc9da7afc4eee5682b037a013

@@ -116,7 +116,7 @@ variable {R}
 
 /- warning: polynomial.alg_hom_ext' -> Polynomial.algHom_ext' is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {A' : Type.{u2}} {B' : Type.{u3}} [_inst_1 : CommSemiring.{u2} A'] [_inst_2 : Semiring.{u3} B'] [_inst_3 : CommSemiring.{u1} R] [_inst_6 : Algebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1)] [_inst_7 : Algebra.{u1, u3} R B' _inst_3 _inst_2] {f : AlgHom.{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7} {g : AlgHom.{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7}, (Eq.{max (succ u2) (succ u3)} (AlgHom.{u1, u2, u3} R A' B' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_2 _inst_6 _inst_7) (AlgHom.comp.{u1, u2, u2, u3} R A' (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 _inst_6 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7 f (IsScalarTower.toAlgHom.{u1, u2, u2} R A' (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_3 _inst_1 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_6 (Polynomial.algebraOfAlgebra.{u2, u2} A' A' _inst_1 (CommSemiring.toSemiring.{u2} A' _inst_1) (Algebra.id.{u2} A' _inst_1)) (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) (Polynomial.isScalarTower.{u2, u1, u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1) R A' (SMulZeroClass.toHasSmul.{u1, u2} R A' (AddZeroClass.toHasZero.{u2} A' (AddMonoid.toAddZeroClass.{u2} A' (AddCommMonoid.toAddMonoid.{u2} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A' (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (AddZeroClass.toHasZero.{u2} A' (AddMonoid.toAddZeroClass.{u2} A' (AddCommMonoid.toAddMonoid.{u2} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A' (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (AddZeroClass.toHasZero.{u2} A' (AddMonoid.toAddZeroClass.{u2} A' (AddCommMonoid.toAddMonoid.{u2} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))))) (Module.toMulActionWithZero.{u1, u2} R A' (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) (Algebra.toModule.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6))))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (MonoidWithZero.toMonoid.{u2} A' (Semiring.toMonoidWithZero.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))) (Module.toDistribMulAction.{u1, u2} R A' (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) (Algebra.toModule.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6)) (Module.toDistribMulAction.{u2, u2} A' A' (CommSemiring.toSemiring.{u2} A' _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) (Semiring.toModule.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))) (IsScalarTower.right.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6)))) (AlgHom.comp.{u1, u2, u2, u3} R A' (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 _inst_6 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7 g (IsScalarTower.toAlgHom.{u1, u2, u2} R A' (Polynomial.{u2} A' 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(Semiring.toModule.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))) (IsScalarTower.right.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6))))) -> (Eq.{succ u3} B' (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AlgHom.{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) (fun (_x : AlgHom.{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) => (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) -> B') ([anonymous].{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) f (Polynomial.X.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AlgHom.{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) (fun (_x : AlgHom.{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) => (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) -> B') ([anonymous].{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) g (Polynomial.X.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) -> (Eq.{max (succ u2) (succ u3)} (AlgHom.{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) f g)
+  forall {R : Type.{u1}} {A' : Type.{u2}} {B' : Type.{u3}} [_inst_1 : CommSemiring.{u2} A'] [_inst_2 : Semiring.{u3} B'] [_inst_3 : CommSemiring.{u1} R] [_inst_6 : Algebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1)] [_inst_7 : Algebra.{u1, u3} R B' _inst_3 _inst_2] {f : AlgHom.{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7} {g : AlgHom.{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7}, (Eq.{max (succ u2) (succ u3)} (AlgHom.{u1, u2, u3} R A' B' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_2 _inst_6 _inst_7) (AlgHom.comp.{u1, u2, u2, u3} R A' (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 _inst_6 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7 f (IsScalarTower.toAlgHom.{u1, u2, u2} R A' (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_3 _inst_1 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_6 (Polynomial.algebraOfAlgebra.{u2, u2} A' A' _inst_1 (CommSemiring.toSemiring.{u2} A' _inst_1) (Algebra.id.{u2} A' _inst_1)) (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) (Polynomial.isScalarTower.{u2, u1, u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1) R A' (SMulZeroClass.toHasSmul.{u1, u2} R A' (AddZeroClass.toHasZero.{u2} A' (AddMonoid.toAddZeroClass.{u2} A' (AddCommMonoid.toAddMonoid.{u2} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A' (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (AddZeroClass.toHasZero.{u2} A' (AddMonoid.toAddZeroClass.{u2} A' (AddCommMonoid.toAddMonoid.{u2} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A' (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (AddZeroClass.toHasZero.{u2} A' (AddMonoid.toAddZeroClass.{u2} A' (AddCommMonoid.toAddMonoid.{u2} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))))) (Module.toMulActionWithZero.{u1, u2} R A' (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) (Algebra.toModule.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A' (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (MulZeroClass.toHasZero.{u2} A' (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A' (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (MulZeroClass.toHasZero.{u2} A' (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))) (Module.toMulActionWithZero.{u1, u2} R A' (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) (Algebra.toModule.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6)))) (SMulWithZero.toSmulZeroClass.{u2, u2} A' A' (MulZeroClass.toHasZero.{u2} A' (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))) (MulZeroClass.toHasZero.{u2} A' (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))) (MulZeroClass.toSMulWithZero.{u2} A' (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))))) (IsScalarTower.right.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6)))) (AlgHom.comp.{u1, u2, u2, u3} R A' (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 _inst_6 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7 g (IsScalarTower.toAlgHom.{u1, u2, u2} R A' (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_3 _inst_1 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_6 (Polynomial.algebraOfAlgebra.{u2, u2} A' A' _inst_1 (CommSemiring.toSemiring.{u2} A' _inst_1) (Algebra.id.{u2} A' _inst_1)) (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) (Polynomial.isScalarTower.{u2, u1, u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1) R A' (SMulZeroClass.toHasSmul.{u1, u2} R A' (AddZeroClass.toHasZero.{u2} A' (AddMonoid.toAddZeroClass.{u2} A' (AddCommMonoid.toAddMonoid.{u2} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A' (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (AddZeroClass.toHasZero.{u2} A' (AddMonoid.toAddZeroClass.{u2} A' (AddCommMonoid.toAddMonoid.{u2} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A' (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (AddZeroClass.toHasZero.{u2} A' (AddMonoid.toAddZeroClass.{u2} A' (AddCommMonoid.toAddMonoid.{u2} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))))) (Module.toMulActionWithZero.{u1, u2} R A' (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) (Algebra.toModule.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A' (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (MulZeroClass.toHasZero.{u2} A' (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A' (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (MulZeroClass.toHasZero.{u2} A' (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))) (Module.toMulActionWithZero.{u1, u2} R A' (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) (Algebra.toModule.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6)))) (SMulWithZero.toSmulZeroClass.{u2, u2} A' A' (MulZeroClass.toHasZero.{u2} A' (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))) (MulZeroClass.toHasZero.{u2} A' (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))))) (MulZeroClass.toSMulWithZero.{u2} A' (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))))) (IsScalarTower.right.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6))))) -> (Eq.{succ u3} B' (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AlgHom.{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) (fun (_x : AlgHom.{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) => (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) -> B') ([anonymous].{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) f (Polynomial.X.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AlgHom.{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) (fun (_x : AlgHom.{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) => (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) -> B') ([anonymous].{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) g (Polynomial.X.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) -> (Eq.{max (succ u2) (succ u3)} (AlgHom.{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) f g)
 but is expected to have type
   forall {R : Type.{u3}} {A' : Type.{u2}} {B' : Type.{u1}} [_inst_1 : CommSemiring.{u2} A'] [_inst_2 : Semiring.{u1} B'] [_inst_3 : CommSemiring.{u3} R] [_inst_6 : Algebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1)] [_inst_7 : Algebra.{u3, u1} R B' _inst_3 _inst_2] {f : AlgHom.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7} {g : AlgHom.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7}, (Eq.{max (succ u2) (succ u1)} (AlgHom.{u3, u2, u1} R A' B' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_2 _inst_6 _inst_7) (AlgHom.comp.{u3, u2, u2, u1} R A' (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 _inst_6 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7 f (IsScalarTower.toAlgHom.{u3, u2, u2} R A' (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_3 _inst_1 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_6 (Polynomial.algebraOfAlgebra.{u2, u2} A' A' _inst_1 (CommSemiring.toSemiring.{u2} A' _inst_1) (Algebra.id.{u2} A' _inst_1)) (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) (Polynomial.isScalarTower.{u2, u3, u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1) R A' (Algebra.toSMul.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))) (MonoidWithZero.toMonoid.{u2} A' (Semiring.toMonoidWithZero.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))) (Module.toDistribMulAction.{u3, u2} R A' (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) (Algebra.toModule.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6)) (Module.toDistribMulAction.{u2, u2} A' A' (CommSemiring.toSemiring.{u2} A' _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) (Semiring.toModule.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))) (IsScalarTower.right.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6)))) (AlgHom.comp.{u3, u2, u2, u1} R A' (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 _inst_6 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7 g (IsScalarTower.toAlgHom.{u3, u2, u2} R A' (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_3 _inst_1 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_6 (Polynomial.algebraOfAlgebra.{u2, u2} A' A' _inst_1 (CommSemiring.toSemiring.{u2} A' _inst_1) (Algebra.id.{u2} A' _inst_1)) (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) (Polynomial.isScalarTower.{u2, u3, u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1) R A' (Algebra.toSMul.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))) (MonoidWithZero.toMonoid.{u2} A' (Semiring.toMonoidWithZero.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))) (Module.toDistribMulAction.{u3, u2} R A' (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) (Algebra.toModule.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6)) (Module.toDistribMulAction.{u2, u2} A' A' (CommSemiring.toSemiring.{u2} A' _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A' (Semiring.toNonAssocSemiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) (Semiring.toModule.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))) (IsScalarTower.right.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6))))) -> 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(Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) (AlgHom.algHomClass.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7))))) g (Polynomial.X.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)))) -> (Eq.{max (succ u2) (succ u1)} (AlgHom.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) f g)
 Case conversion may be inaccurate. Consider using '#align polynomial.alg_hom_ext' Polynomial.algHom_ext'ₓ'. -/
@@ -627,7 +627,7 @@ theorem aevalTower_comp_algebraMap : (aevalTower g y : R[X] →+* A').comp (alge
 
 /- warning: polynomial.aeval_tower_to_alg_hom -> Polynomial.aevalTower_toAlgHom is a dubious translation:
 lean 3 declaration is
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_inst_8))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (Module.toDistribMulAction.{u2, u1} S R (CommSemiring.toSemiring.{u2} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (Algebra.toModule.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9)) (Module.toDistribMulAction.{u1, u1} R R (CommSemiring.toSemiring.{u1} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (IsScalarTower.right.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9))) x)) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (AlgHom.{u2, u1, u3} S R A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 _inst_10) (fun (_x : AlgHom.{u2, u1, u3} S R A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 _inst_10) => R -> A') ([anonymous].{u2, u1, u3} S R A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 _inst_10) g x)
+  forall {R : Type.{u1}} {S : Type.{u2}} {A' : Type.{u3}} [_inst_1 : CommSemiring.{u3} A'] [_inst_3 : CommSemiring.{u1} R] [_inst_8 : CommSemiring.{u2} S] [_inst_9 : Algebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3)] [_inst_10 : Algebra.{u2, u3} S A' _inst_8 (CommSemiring.toSemiring.{u3} A' _inst_1)] (g : AlgHom.{u2, u1, u3} S R A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 _inst_10) (y : A') (x : R), Eq.{succ u3} A' (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (AlgHom.{u2, u1, u3} S (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u3} A' _inst_1) (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9) _inst_10) (fun (_x : AlgHom.{u2, u1, u3} S (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u3} A' _inst_1) (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9) _inst_10) => (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) -> A') ([anonymous].{u2, u1, u3} S (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u3} A' _inst_1) (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9) _inst_10) (Polynomial.aevalTower.{u1, u2, u3} R S A' _inst_1 _inst_3 _inst_8 _inst_9 _inst_10 g y) (coeFn.{succ u1, succ u1} (AlgHom.{u2, u1, u1} S R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_9 (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9)) (fun (_x : AlgHom.{u2, u1, u1} S R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_9 (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9)) => R -> (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) ([anonymous].{u2, u1, u1} S R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_9 (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9)) (IsScalarTower.toAlgHom.{u2, u1, u1} S R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_9 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9) (Polynomial.isScalarTower.{u1, u2, u1} R (CommSemiring.toSemiring.{u1} R _inst_3) S R (SMulZeroClass.toHasSmul.{u2, u1} S R (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))))) (SMulWithZero.toSmulZeroClass.{u2, u1} S R (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8))))) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))))) (MulActionWithZero.toSMulWithZero.{u2, u1} S R (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8)) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))))) (Module.toMulActionWithZero.{u2, u1} S R (CommSemiring.toSemiring.{u2} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (Algebra.toModule.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9))))) (SMulWithZero.toSmulZeroClass.{u2, u1} S R (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u1} S R (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8)) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (Module.toMulActionWithZero.{u2, u1} S R (CommSemiring.toSemiring.{u2} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (Algebra.toModule.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9)))) (SMulWithZero.toSmulZeroClass.{u1, u1} R R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (MulZeroClass.toSMulWithZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))))) (IsScalarTower.right.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9))) x)) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (AlgHom.{u2, u1, u3} S R A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 _inst_10) (fun (_x : AlgHom.{u2, u1, u3} S R A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 _inst_10) => R -> A') ([anonymous].{u2, u1, u3} S R A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 _inst_10) g x)
 but is expected to have type
   forall {R : Type.{u2}} {S : Type.{u3}} {A' : Type.{u1}} [_inst_1 : CommSemiring.{u1} A'] [_inst_3 : CommSemiring.{u2} R] [_inst_8 : CommSemiring.{u3} S] [_inst_9 : Algebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3)] [_inst_10 : Algebra.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1)] (g : AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) (y : A') (x : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A') (FunLike.coe.{succ u2, succ u2, succ u2} (AlgHom.{u3, u2, u2} S R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_9 (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : R) => Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) a) (SMulHomClass.toFunLike.{u2, u3, u2, u2} (AlgHom.{u3, u2, u2} S R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_9 (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) S R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (SMulZeroClass.toSMul.{u3, u2} S R (AddMonoid.toZero.{u2} R (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (DistribSMul.toSMulZeroClass.{u3, u2} S R (AddMonoid.toAddZeroClass.{u2} R (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (DistribMulAction.toDistribSMul.{u3, u2} S R (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9))))) (SMulZeroClass.toSMul.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u3, u2} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R 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(CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : R) => A') _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) S R A' (SMulZeroClass.toSMul.{u3, u2} S R (AddMonoid.toZero.{u2} R (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (DistribSMul.toSMulZeroClass.{u3, u2} S R (AddMonoid.toAddZeroClass.{u2} R (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (DistribMulAction.toDistribSMul.{u3, u2} S R (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9))))) (SMulZeroClass.toSMul.{u3, u1} S A' (AddMonoid.toZero.{u1} A' (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))))) 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(CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) S R A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) S R A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) (Module.toDistribMulAction.{u3, u1} S A' (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))) (Algebra.toModule.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_10)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, u2, u1, max u2 u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10 (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) (AlgHom.algHomClass.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10))))) g x)
 Case conversion may be inaccurate. Consider using '#align polynomial.aeval_tower_to_alg_hom Polynomial.aevalTower_toAlgHomₓ'. -/
@@ -637,7 +637,7 @@ theorem aevalTower_toAlgHom (x : R) : aevalTower g y (IsScalarTower.toAlgHom S R
 
 /- warning: polynomial.aeval_tower_comp_to_alg_hom -> Polynomial.aevalTower_comp_toAlgHom is a dubious translation:
 lean 3 declaration is
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+  forall {R : Type.{u1}} {S : Type.{u2}} {A' : Type.{u3}} [_inst_1 : CommSemiring.{u3} A'] [_inst_3 : CommSemiring.{u1} R] [_inst_8 : CommSemiring.{u2} S] [_inst_9 : Algebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3)] [_inst_10 : Algebra.{u2, u3} S A' _inst_8 (CommSemiring.toSemiring.{u3} A' _inst_1)] (g : AlgHom.{u2, u1, u3} S R A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 _inst_10) (y : A'), Eq.{max (succ u1) (succ u3)} (AlgHom.{u2, u1, u3} S R A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 _inst_10) (AlgHom.comp.{u2, u1, u1, u3} S R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) A' _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u3} A' _inst_1) _inst_9 (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9) _inst_10 (Polynomial.aevalTower.{u1, u2, u3} R S A' _inst_1 _inst_3 _inst_8 _inst_9 _inst_10 g y) (IsScalarTower.toAlgHom.{u2, u1, u1} S R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_8 _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_9 (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9) (Polynomial.isScalarTower.{u1, u2, u1} R (CommSemiring.toSemiring.{u1} R _inst_3) S R (SMulZeroClass.toHasSmul.{u2, u1} S R (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))))) (SMulWithZero.toSmulZeroClass.{u2, u1} S R (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8))))) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))))) (MulActionWithZero.toSMulWithZero.{u2, u1} S R (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8)) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))))) (Module.toMulActionWithZero.{u2, u1} S R (CommSemiring.toSemiring.{u2} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (Algebra.toModule.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9))))) (SMulWithZero.toSmulZeroClass.{u2, u1} S R (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u1} S R (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_8)) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (Module.toMulActionWithZero.{u2, u1} S R (CommSemiring.toSemiring.{u2} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (Algebra.toModule.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9)))) (SMulWithZero.toSmulZeroClass.{u1, u1} R R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))) (MulZeroClass.toSMulWithZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))))) (IsScalarTower.right.{u2, u1} S R _inst_8 (CommSemiring.toSemiring.{u1} R _inst_3) _inst_9)))) g
 but is expected to have type
   forall {R : Type.{u2}} {S : Type.{u3}} {A' : Type.{u1}} [_inst_1 : CommSemiring.{u1} A'] [_inst_3 : CommSemiring.{u2} R] [_inst_8 : CommSemiring.{u3} S] [_inst_9 : Algebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3)] [_inst_10 : Algebra.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1)] (g : AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) (y : A'), Eq.{max (succ u2) (succ u1)} (AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) (AlgHom.comp.{u3, u2, u2, u1} S R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10 (Polynomial.aevalTower.{u2, u3, u1} R S A' _inst_1 _inst_3 _inst_8 _inst_9 _inst_10 g y) (IsScalarTower.toAlgHom.{u3, u2, u2} S R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_8 _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_9 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) (Polynomial.isScalarTower.{u2, u3, u2} R (CommSemiring.toSemiring.{u2} R _inst_3) S R (Algebra.toSMul.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (Module.toDistribMulAction.{u3, u2} S R (CommSemiring.toSemiring.{u3} S _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)) (Module.toDistribMulAction.{u2, u2} R R (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (IsScalarTower.right.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)))) g
 Case conversion may be inaccurate. Consider using '#align polynomial.aeval_tower_comp_to_alg_hom Polynomial.aevalTower_comp_toAlgHomₓ'. -/

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

@@ -150,7 +150,7 @@ instance [Nontrivial A] : Nontrivial (Subalgebra R A[X]) :=
       rw [Ne.def, SetLike.ext_iff, not_forall]
       refine' ⟨X, _⟩
       simp only [Algebra.mem_bot, not_exists, Set.mem_range, iff_true_iff, Algebra.mem_top,
-        algebra_map_apply, not_forall]
+        algebraMap_apply, not_forall]
       intro x
       rw [ext_iff, not_forall]
       refine' ⟨1, _⟩
@@ -564,7 +564,7 @@ variable [CommSemiring S] [Algebra S R] [Algebra S A'] [Algebra S B']
 /-- Version of `aeval` for defining algebra homs out of `R[X]` over a smaller base ring
   than `R`. -/
 def aevalTower (f : R →ₐ[S] A') (x : A') : R[X] →ₐ[S] A' :=
-  { eval₂RingHom (↑f) x with commutes' := fun r => by simp [algebra_map_apply] }
+  { eval₂RingHom (↑f) x with commutes' := fun r => by simp [algebraMap_apply] }
 #align polynomial.aeval_tower Polynomial.aevalTower
 -/
 

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

@@ -191,7 +191,7 @@ theorem eval₂_algebraMap_X {R A : Type _} [CommSemiring R] [Semiring A] [Algeb
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} [_inst_6 : Ring.{u1} R] [_inst_7 : Ring.{u2} S] (p : Polynomial.{0} Int Int.semiring) (f : RingHom.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6)) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S _inst_7))) (r : R), Eq.{succ u2} S (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6)) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S _inst_7))) (fun (_x : RingHom.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6)) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S _inst_7))) => R -> S) (RingHom.hasCoeToFun.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6)) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S _inst_7))) f (Polynomial.eval₂.{0, u1} Int R Int.semiring (Ring.toSemiring.{u1} R _inst_6) (Int.castRingHom.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6)) r p)) (Polynomial.eval₂.{0, u2} Int S Int.semiring (Ring.toSemiring.{u2} S _inst_7) (Int.castRingHom.{u2} S (Ring.toNonAssocRing.{u2} S _inst_7)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6)) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S _inst_7))) (fun (_x : RingHom.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6)) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S _inst_7))) => R -> S) (RingHom.hasCoeToFun.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6)) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S _inst_7))) f r) p)
 but is expected to have type
-  forall {R : Type.{u2}} {S : Type.{u1}} [_inst_6 : Ring.{u2} R] [_inst_7 : Ring.{u1} S] (p : Polynomial.{0} Int Int.instSemiringInt) (f : RingHom.{u2, u1} R S (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R _inst_6)) (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S _inst_7))) (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) (Polynomial.eval₂.{0, u2} Int R Int.instSemiringInt (Ring.toSemiring.{u2} R _inst_6) (Int.castRingHom.{u2} R (Ring.toNonAssocRing.{u2} R _inst_6)) r p)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R S (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R _inst_6)) (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S _inst_7))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R _inst_6)) (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S _inst_7))) R S (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R _inst_6)))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S _inst_7)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R _inst_6)) (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S _inst_7))) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R _inst_6))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S _inst_7))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R _inst_6)) (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S _inst_7))) R S (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R _inst_6)) (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S _inst_7)) (RingHom.instRingHomClassRingHom.{u2, u1} R S (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R _inst_6)) (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S _inst_7)))))) f (Polynomial.eval₂.{0, u2} Int R Int.instSemiringInt (Ring.toSemiring.{u2} R _inst_6) (Int.castRingHom.{u2} R (Ring.toNonAssocRing.{u2} R _inst_6)) r p)) (Polynomial.eval₂.{0, u1} Int S Int.instSemiringInt (Ring.toSemiring.{u1} S _inst_7) (Int.castRingHom.{u1} S (Ring.toNonAssocRing.{u1} S _inst_7)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R S (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R _inst_6)) (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S _inst_7))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R _inst_6)) (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S _inst_7))) R S (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R _inst_6)))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S _inst_7)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R _inst_6)) (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S _inst_7))) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R _inst_6))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S _inst_7))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R _inst_6)) (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S _inst_7))) R S (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R _inst_6)) (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S _inst_7)) (RingHom.instRingHomClassRingHom.{u2, u1} R S (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R _inst_6)) (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S _inst_7)))))) f r) p)
+  forall {R : Type.{u2}} {S : Type.{u1}} [_inst_6 : Ring.{u2} R] [_inst_7 : Ring.{u1} S] (p : Polynomial.{0} Int Int.instSemiringInt) (f : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7))) (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) (Polynomial.eval₂.{0, u2} Int R Int.instSemiringInt (Ring.toSemiring.{u2} R _inst_6) (Int.castRingHom.{u2} R (Ring.toNonAssocRing.{u2} R _inst_6)) r p)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7))) R S (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7))) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7))) R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7)) (RingHom.instRingHomClassRingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7)))))) f (Polynomial.eval₂.{0, u2} Int R Int.instSemiringInt (Ring.toSemiring.{u2} R _inst_6) (Int.castRingHom.{u2} R (Ring.toNonAssocRing.{u2} R _inst_6)) r p)) (Polynomial.eval₂.{0, u1} Int S Int.instSemiringInt (Ring.toSemiring.{u1} S _inst_7) (Int.castRingHom.{u1} S (Ring.toNonAssocRing.{u1} S _inst_7)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7))) R S (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7))) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7))) R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7)) (RingHom.instRingHomClassRingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S _inst_7)))))) f r) p)
 Case conversion may be inaccurate. Consider using '#align polynomial.ring_hom_eval₂_cast_int_ring_hom Polynomial.ringHom_eval₂_cast_int_ringHomₓ'. -/
 -- these used to be about `algebra_map ℤ R`, but now the simp-normal form is `int.cast_ring_hom R`.
 @[simp]
@@ -204,7 +204,7 @@ theorem ringHom_eval₂_cast_int_ringHom {R S : Type _} [Ring R] [Ring S] (p : 
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_6 : Ring.{u1} R] (p : Polynomial.{0} Int Int.semiring) (f : RingHom.{0, u1} (Polynomial.{0} Int Int.semiring) R (NonAssocRing.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.semiring) (Ring.toNonAssocRing.{0} (Polynomial.{0} Int Int.semiring) (Polynomial.ring.{0} Int Int.ring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6))), Eq.{succ u1} R (Polynomial.eval₂.{0, u1} Int R Int.semiring (Ring.toSemiring.{u1} R _inst_6) (Int.castRingHom.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6)) (coeFn.{succ u1, succ u1} (RingHom.{0, u1} (Polynomial.{0} Int Int.semiring) R (NonAssocRing.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.semiring) (Ring.toNonAssocRing.{0} (Polynomial.{0} Int Int.semiring) (Polynomial.ring.{0} Int Int.ring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6))) (fun (_x : RingHom.{0, u1} (Polynomial.{0} Int Int.semiring) R (NonAssocRing.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.semiring) (Ring.toNonAssocRing.{0} (Polynomial.{0} Int Int.semiring) (Polynomial.ring.{0} Int Int.ring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6))) => (Polynomial.{0} Int Int.semiring) -> R) (RingHom.hasCoeToFun.{0, u1} (Polynomial.{0} Int Int.semiring) R (NonAssocRing.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.semiring) (Ring.toNonAssocRing.{0} (Polynomial.{0} Int Int.semiring) (Polynomial.ring.{0} Int Int.ring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6))) f (Polynomial.X.{0} Int Int.semiring)) p) (coeFn.{succ u1, succ u1} (RingHom.{0, u1} (Polynomial.{0} Int Int.semiring) R (NonAssocRing.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.semiring) (Ring.toNonAssocRing.{0} (Polynomial.{0} Int Int.semiring) (Polynomial.ring.{0} Int Int.ring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6))) (fun (_x : RingHom.{0, u1} (Polynomial.{0} Int Int.semiring) R (NonAssocRing.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.semiring) (Ring.toNonAssocRing.{0} (Polynomial.{0} Int Int.semiring) (Polynomial.ring.{0} Int Int.ring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6))) => (Polynomial.{0} Int Int.semiring) -> R) (RingHom.hasCoeToFun.{0, u1} (Polynomial.{0} Int Int.semiring) R (NonAssocRing.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.semiring) (Ring.toNonAssocRing.{0} (Polynomial.{0} Int Int.semiring) (Polynomial.ring.{0} Int Int.ring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6))) f p)
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_6 : Ring.{u1} R] (p : Polynomial.{0} Int Int.instSemiringInt) (f : RingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (NonAssocRing.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Ring.toNonAssocRing.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.ring.{0} Int Int.instRingInt))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6))), Eq.{succ u1} R (Polynomial.eval₂.{0, u1} Int R Int.instSemiringInt (Ring.toSemiring.{u1} R _inst_6) (Int.castRingHom.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6)) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (NonAssocRing.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Ring.toNonAssocRing.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.ring.{0} Int Int.instRingInt))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6))) (Polynomial.{0} Int Int.instSemiringInt) (fun (_x : Polynomial.{0} Int Int.instSemiringInt) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Polynomial.{0} Int Int.instSemiringInt) => R) _x) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (NonAssocRing.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Ring.toNonAssocRing.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.ring.{0} Int Int.instRingInt))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6))) (Polynomial.{0} Int Int.instSemiringInt) R (NonUnitalNonAssocSemiring.toMul.{0} (Polynomial.{0} Int Int.instSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (NonAssocRing.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Ring.toNonAssocRing.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.ring.{0} Int Int.instRingInt))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6)))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (NonAssocRing.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Ring.toNonAssocRing.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.ring.{0} Int Int.instRingInt))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6))) (Polynomial.{0} Int Int.instSemiringInt) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (NonAssocRing.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Ring.toNonAssocRing.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.ring.{0} Int Int.instRingInt)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (NonAssocRing.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Ring.toNonAssocRing.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.ring.{0} Int Int.instRingInt))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6))) (Polynomial.{0} Int Int.instSemiringInt) R (NonAssocRing.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Ring.toNonAssocRing.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.ring.{0} Int Int.instRingInt))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6)) (RingHom.instRingHomClassRingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (NonAssocRing.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Ring.toNonAssocRing.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.ring.{0} Int Int.instRingInt))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6)))))) f (Polynomial.X.{0} Int Int.instSemiringInt)) p) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (NonAssocRing.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Ring.toNonAssocRing.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.ring.{0} Int Int.instRingInt))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6))) (Polynomial.{0} Int Int.instSemiringInt) (fun (_x : Polynomial.{0} Int Int.instSemiringInt) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Polynomial.{0} Int Int.instSemiringInt) => R) _x) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (NonAssocRing.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Ring.toNonAssocRing.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.ring.{0} Int Int.instRingInt))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6))) (Polynomial.{0} Int Int.instSemiringInt) R (NonUnitalNonAssocSemiring.toMul.{0} (Polynomial.{0} Int Int.instSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (NonAssocRing.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Ring.toNonAssocRing.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.ring.{0} Int Int.instRingInt))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6)))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (NonAssocRing.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Ring.toNonAssocRing.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.ring.{0} Int Int.instRingInt))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6))) (Polynomial.{0} Int Int.instSemiringInt) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (NonAssocRing.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Ring.toNonAssocRing.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.ring.{0} Int Int.instRingInt)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (NonAssocRing.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Ring.toNonAssocRing.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.ring.{0} Int Int.instRingInt))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6))) (Polynomial.{0} Int Int.instSemiringInt) R (NonAssocRing.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Ring.toNonAssocRing.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.ring.{0} Int Int.instRingInt))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6)) (RingHom.instRingHomClassRingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (NonAssocRing.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Ring.toNonAssocRing.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.ring.{0} Int Int.instRingInt))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6)))))) f p)
+  forall {R : Type.{u1}} [_inst_6 : Ring.{u1} R] (p : Polynomial.{0} Int Int.instSemiringInt) (f : RingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))), Eq.{succ u1} R (Polynomial.eval₂.{0, u1} Int R Int.instSemiringInt (Ring.toSemiring.{u1} R _inst_6) (Int.castRingHom.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6)) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (Polynomial.{0} Int Int.instSemiringInt) (fun (_x : Polynomial.{0} Int Int.instSemiringInt) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Polynomial.{0} Int Int.instSemiringInt) => R) _x) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (Polynomial.{0} Int Int.instSemiringInt) R (NonUnitalNonAssocSemiring.toMul.{0} (Polynomial.{0} Int Int.instSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6)))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (Polynomial.{0} Int Int.instSemiringInt) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6)) (RingHom.instRingHomClassRingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6)))))) f (Polynomial.X.{0} Int Int.instSemiringInt)) p) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (Polynomial.{0} Int Int.instSemiringInt) (fun (_x : Polynomial.{0} Int Int.instSemiringInt) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Polynomial.{0} Int Int.instSemiringInt) => R) _x) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (Polynomial.{0} Int Int.instSemiringInt) R (NonUnitalNonAssocSemiring.toMul.{0} (Polynomial.{0} Int Int.instSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6)))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (Polynomial.{0} Int Int.instSemiringInt) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6)) (RingHom.instRingHomClassRingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (Semiring.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.semiring.{0} Int Int.instSemiringInt)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6)))))) f p)
 Case conversion may be inaccurate. Consider using '#align polynomial.eval₂_int_cast_ring_hom_X Polynomial.eval₂_int_castRingHom_Xₓ'. -/
 @[simp]
 theorem eval₂_int_castRingHom_X {R : Type _} [Ring R] (p : ℤ[X]) (f : ℤ[X] →+* R) :
@@ -680,7 +680,7 @@ variable [CommRing S] {f : R →+* S}
 lean 3 declaration is
   forall {S : Type.{u1}} [_inst_8 : CommRing.{u1} S] {z : S} {p : S} {f : Polynomial.{u1} S (Ring.toSemiring.{u1} S (CommRing.toRing.{u1} S _inst_8))} (i : Nat), (Dvd.Dvd.{u1} S (semigroupDvd.{u1} S (SemigroupWithZero.toSemigroup.{u1} S (NonUnitalSemiring.toSemigroupWithZero.{u1} S (NonUnitalRing.toNonUnitalSemiring.{u1} S (NonUnitalCommRing.toNonUnitalRing.{u1} S (CommRing.toNonUnitalCommRing.{u1} S _inst_8)))))) p (Polynomial.eval.{u1} S (Ring.toSemiring.{u1} S (CommRing.toRing.{u1} S _inst_8)) z f)) -> (forall (j : Nat), (Ne.{1} Nat j i) -> (Dvd.Dvd.{u1} S (semigroupDvd.{u1} S (SemigroupWithZero.toSemigroup.{u1} S (NonUnitalSemiring.toSemigroupWithZero.{u1} S (NonUnitalRing.toNonUnitalSemiring.{u1} S (NonUnitalCommRing.toNonUnitalRing.{u1} S (CommRing.toNonUnitalCommRing.{u1} S _inst_8)))))) p (HMul.hMul.{u1, u1, u1} S S S (instHMul.{u1} S (Distrib.toHasMul.{u1} S (Ring.toDistrib.{u1} S (CommRing.toRing.{u1} S _inst_8)))) (Polynomial.coeff.{u1} S (Ring.toSemiring.{u1} S (CommRing.toRing.{u1} S _inst_8)) f j) (HPow.hPow.{u1, 0, u1} S Nat S (instHPow.{u1, 0} S Nat (Monoid.Pow.{u1} S (Ring.toMonoid.{u1} S (CommRing.toRing.{u1} S _inst_8)))) z j)))) -> (Dvd.Dvd.{u1} S (semigroupDvd.{u1} S (SemigroupWithZero.toSemigroup.{u1} S (NonUnitalSemiring.toSemigroupWithZero.{u1} S (NonUnitalRing.toNonUnitalSemiring.{u1} S (NonUnitalCommRing.toNonUnitalRing.{u1} S (CommRing.toNonUnitalCommRing.{u1} S _inst_8)))))) p (HMul.hMul.{u1, u1, u1} S S S (instHMul.{u1} S (Distrib.toHasMul.{u1} S (Ring.toDistrib.{u1} S (CommRing.toRing.{u1} S _inst_8)))) (Polynomial.coeff.{u1} S (Ring.toSemiring.{u1} S (CommRing.toRing.{u1} S _inst_8)) f i) (HPow.hPow.{u1, 0, u1} S Nat S (instHPow.{u1, 0} S Nat (Monoid.Pow.{u1} S (Ring.toMonoid.{u1} S (CommRing.toRing.{u1} S _inst_8)))) z i)))
 but is expected to have type
-  forall {S : Type.{u1}} [_inst_8 : CommRing.{u1} S] {z : S} {p : S} {f : Polynomial.{u1} S (Ring.toSemiring.{u1} S (CommRing.toRing.{u1} S _inst_8))} (i : Nat), (Dvd.dvd.{u1} S (semigroupDvd.{u1} S (SemigroupWithZero.toSemigroup.{u1} S (NonUnitalSemiring.toSemigroupWithZero.{u1} S (NonUnitalRing.toNonUnitalSemiring.{u1} S (NonUnitalCommRing.toNonUnitalRing.{u1} S (CommRing.toNonUnitalCommRing.{u1} S _inst_8)))))) p (Polynomial.eval.{u1} S (Ring.toSemiring.{u1} S (CommRing.toRing.{u1} S _inst_8)) z f)) -> (forall (j : Nat), (Ne.{1} Nat j i) -> (Dvd.dvd.{u1} S (semigroupDvd.{u1} S (SemigroupWithZero.toSemigroup.{u1} S (NonUnitalSemiring.toSemigroupWithZero.{u1} S (NonUnitalRing.toNonUnitalSemiring.{u1} S (NonUnitalCommRing.toNonUnitalRing.{u1} S (CommRing.toNonUnitalCommRing.{u1} S _inst_8)))))) p (HMul.hMul.{u1, u1, u1} S S S (instHMul.{u1} S (NonUnitalNonAssocRing.toMul.{u1} S (NonAssocRing.toNonUnitalNonAssocRing.{u1} S (Ring.toNonAssocRing.{u1} S (CommRing.toRing.{u1} S _inst_8))))) (Polynomial.coeff.{u1} S (Ring.toSemiring.{u1} S (CommRing.toRing.{u1} S _inst_8)) f j) (HPow.hPow.{u1, 0, u1} S Nat S (instHPow.{u1, 0} S Nat (Monoid.Pow.{u1} S (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (Ring.toSemiring.{u1} S (CommRing.toRing.{u1} S _inst_8)))))) z j)))) -> (Dvd.dvd.{u1} S (semigroupDvd.{u1} S (SemigroupWithZero.toSemigroup.{u1} S (NonUnitalSemiring.toSemigroupWithZero.{u1} S (NonUnitalRing.toNonUnitalSemiring.{u1} S (NonUnitalCommRing.toNonUnitalRing.{u1} S (CommRing.toNonUnitalCommRing.{u1} S _inst_8)))))) p (HMul.hMul.{u1, u1, u1} S S S (instHMul.{u1} S (NonUnitalNonAssocRing.toMul.{u1} S (NonAssocRing.toNonUnitalNonAssocRing.{u1} S (Ring.toNonAssocRing.{u1} S (CommRing.toRing.{u1} S _inst_8))))) (Polynomial.coeff.{u1} S (Ring.toSemiring.{u1} S (CommRing.toRing.{u1} S _inst_8)) f i) (HPow.hPow.{u1, 0, u1} S Nat S (instHPow.{u1, 0} S Nat (Monoid.Pow.{u1} S (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (Ring.toSemiring.{u1} S (CommRing.toRing.{u1} S _inst_8)))))) z i)))
+  forall {S : Type.{u1}} [_inst_8 : CommRing.{u1} S] {z : S} {p : S} {f : Polynomial.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_8))} (i : Nat), (Dvd.dvd.{u1} S (semigroupDvd.{u1} S (SemigroupWithZero.toSemigroup.{u1} S (NonUnitalSemiring.toSemigroupWithZero.{u1} S (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} S (NonUnitalCommRing.toNonUnitalCommSemiring.{u1} S (CommRing.toNonUnitalCommRing.{u1} S _inst_8)))))) p (Polynomial.eval.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_8)) z f)) -> (forall (j : Nat), (Ne.{1} Nat j i) -> (Dvd.dvd.{u1} S (semigroupDvd.{u1} S (SemigroupWithZero.toSemigroup.{u1} S (NonUnitalSemiring.toSemigroupWithZero.{u1} S (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} S (NonUnitalCommRing.toNonUnitalCommSemiring.{u1} S (CommRing.toNonUnitalCommRing.{u1} S _inst_8)))))) p (HMul.hMul.{u1, u1, u1} S S S (instHMul.{u1} S (NonUnitalNonAssocRing.toMul.{u1} S (NonAssocRing.toNonUnitalNonAssocRing.{u1} S (Ring.toNonAssocRing.{u1} S (CommRing.toRing.{u1} S _inst_8))))) (Polynomial.coeff.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_8)) f j) (HPow.hPow.{u1, 0, u1} S Nat S (instHPow.{u1, 0} S Nat (Monoid.Pow.{u1} S (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_8)))))) z j)))) -> (Dvd.dvd.{u1} S (semigroupDvd.{u1} S (SemigroupWithZero.toSemigroup.{u1} S (NonUnitalSemiring.toSemigroupWithZero.{u1} S (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} S (NonUnitalCommRing.toNonUnitalCommSemiring.{u1} S (CommRing.toNonUnitalCommRing.{u1} S _inst_8)))))) p (HMul.hMul.{u1, u1, u1} S S S (instHMul.{u1} S (NonUnitalNonAssocRing.toMul.{u1} S (NonAssocRing.toNonUnitalNonAssocRing.{u1} S (Ring.toNonAssocRing.{u1} S (CommRing.toRing.{u1} S _inst_8))))) (Polynomial.coeff.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_8)) f i) (HPow.hPow.{u1, 0, u1} S Nat S (instHPow.{u1, 0} S Nat (Monoid.Pow.{u1} S (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_8)))))) z i)))
 Case conversion may be inaccurate. Consider using '#align polynomial.dvd_term_of_dvd_eval_of_dvd_terms Polynomial.dvd_term_of_dvd_eval_of_dvd_termsₓ'. -/
 /- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (j «expr ≠ » i) -/
 theorem dvd_term_of_dvd_eval_of_dvd_terms {z p : S} {f : S[X]} (i : ℕ) (dvd_eval : p ∣ f.eval z)
@@ -702,7 +702,7 @@ theorem dvd_term_of_dvd_eval_of_dvd_terms {z p : S} {f : S[X]} (i : ℕ) (dvd_ev
 lean 3 declaration is
   forall {S : Type.{u1}} [_inst_8 : CommRing.{u1} S] {r : S} {p : S} {f : Polynomial.{u1} S (Ring.toSemiring.{u1} S (CommRing.toRing.{u1} S _inst_8))} (i : Nat), (Polynomial.IsRoot.{u1} S (Ring.toSemiring.{u1} S (CommRing.toRing.{u1} S _inst_8)) f r) -> (forall (j : Nat), (Ne.{1} Nat j i) -> (Dvd.Dvd.{u1} S (semigroupDvd.{u1} S (SemigroupWithZero.toSemigroup.{u1} S (NonUnitalSemiring.toSemigroupWithZero.{u1} S (NonUnitalRing.toNonUnitalSemiring.{u1} S (NonUnitalCommRing.toNonUnitalRing.{u1} S (CommRing.toNonUnitalCommRing.{u1} S _inst_8)))))) p (HMul.hMul.{u1, u1, u1} S S S (instHMul.{u1} S (Distrib.toHasMul.{u1} S (Ring.toDistrib.{u1} S (CommRing.toRing.{u1} S _inst_8)))) (Polynomial.coeff.{u1} S (Ring.toSemiring.{u1} S (CommRing.toRing.{u1} S _inst_8)) f j) (HPow.hPow.{u1, 0, u1} S Nat S (instHPow.{u1, 0} S Nat (Monoid.Pow.{u1} S (Ring.toMonoid.{u1} S (CommRing.toRing.{u1} S _inst_8)))) r j)))) -> (Dvd.Dvd.{u1} S (semigroupDvd.{u1} S (SemigroupWithZero.toSemigroup.{u1} S (NonUnitalSemiring.toSemigroupWithZero.{u1} S (NonUnitalRing.toNonUnitalSemiring.{u1} S (NonUnitalCommRing.toNonUnitalRing.{u1} S (CommRing.toNonUnitalCommRing.{u1} S _inst_8)))))) p (HMul.hMul.{u1, u1, u1} S S S (instHMul.{u1} S (Distrib.toHasMul.{u1} S (Ring.toDistrib.{u1} S (CommRing.toRing.{u1} S _inst_8)))) (Polynomial.coeff.{u1} S (Ring.toSemiring.{u1} S (CommRing.toRing.{u1} S _inst_8)) f i) (HPow.hPow.{u1, 0, u1} S Nat S (instHPow.{u1, 0} S Nat (Monoid.Pow.{u1} S (Ring.toMonoid.{u1} S (CommRing.toRing.{u1} S _inst_8)))) r i)))
 but is expected to have type
-  forall {S : Type.{u1}} [_inst_8 : CommRing.{u1} S] {r : S} {p : S} {f : Polynomial.{u1} S (Ring.toSemiring.{u1} S (CommRing.toRing.{u1} S _inst_8))} (i : Nat), (Polynomial.IsRoot.{u1} S (Ring.toSemiring.{u1} S (CommRing.toRing.{u1} S _inst_8)) f r) -> (forall (j : Nat), (Ne.{1} Nat j i) -> (Dvd.dvd.{u1} S (semigroupDvd.{u1} S (SemigroupWithZero.toSemigroup.{u1} S (NonUnitalSemiring.toSemigroupWithZero.{u1} S (NonUnitalRing.toNonUnitalSemiring.{u1} S (NonUnitalCommRing.toNonUnitalRing.{u1} S (CommRing.toNonUnitalCommRing.{u1} S _inst_8)))))) p (HMul.hMul.{u1, u1, u1} S S S (instHMul.{u1} S (NonUnitalNonAssocRing.toMul.{u1} S (NonAssocRing.toNonUnitalNonAssocRing.{u1} S (Ring.toNonAssocRing.{u1} S (CommRing.toRing.{u1} S _inst_8))))) (Polynomial.coeff.{u1} S (Ring.toSemiring.{u1} S (CommRing.toRing.{u1} S _inst_8)) f j) (HPow.hPow.{u1, 0, u1} S Nat S (instHPow.{u1, 0} S Nat (Monoid.Pow.{u1} S (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (Ring.toSemiring.{u1} S (CommRing.toRing.{u1} S _inst_8)))))) r j)))) -> (Dvd.dvd.{u1} S (semigroupDvd.{u1} S (SemigroupWithZero.toSemigroup.{u1} S (NonUnitalSemiring.toSemigroupWithZero.{u1} S (NonUnitalRing.toNonUnitalSemiring.{u1} S (NonUnitalCommRing.toNonUnitalRing.{u1} S (CommRing.toNonUnitalCommRing.{u1} S _inst_8)))))) p (HMul.hMul.{u1, u1, u1} S S S (instHMul.{u1} S (NonUnitalNonAssocRing.toMul.{u1} S (NonAssocRing.toNonUnitalNonAssocRing.{u1} S (Ring.toNonAssocRing.{u1} S (CommRing.toRing.{u1} S _inst_8))))) (Polynomial.coeff.{u1} S (Ring.toSemiring.{u1} S (CommRing.toRing.{u1} S _inst_8)) f i) (HPow.hPow.{u1, 0, u1} S Nat S (instHPow.{u1, 0} S Nat (Monoid.Pow.{u1} S (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (Ring.toSemiring.{u1} S (CommRing.toRing.{u1} S _inst_8)))))) r i)))
+  forall {S : Type.{u1}} [_inst_8 : CommRing.{u1} S] {r : S} {p : S} {f : Polynomial.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_8))} (i : Nat), (Polynomial.IsRoot.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_8)) f r) -> (forall (j : Nat), (Ne.{1} Nat j i) -> (Dvd.dvd.{u1} S (semigroupDvd.{u1} S (SemigroupWithZero.toSemigroup.{u1} S (NonUnitalSemiring.toSemigroupWithZero.{u1} S (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} S (NonUnitalCommRing.toNonUnitalCommSemiring.{u1} S (CommRing.toNonUnitalCommRing.{u1} S _inst_8)))))) p (HMul.hMul.{u1, u1, u1} S S S (instHMul.{u1} S (NonUnitalNonAssocRing.toMul.{u1} S (NonAssocRing.toNonUnitalNonAssocRing.{u1} S (Ring.toNonAssocRing.{u1} S (CommRing.toRing.{u1} S _inst_8))))) (Polynomial.coeff.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_8)) f j) (HPow.hPow.{u1, 0, u1} S Nat S (instHPow.{u1, 0} S Nat (Monoid.Pow.{u1} S (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_8)))))) r j)))) -> (Dvd.dvd.{u1} S (semigroupDvd.{u1} S (SemigroupWithZero.toSemigroup.{u1} S (NonUnitalSemiring.toSemigroupWithZero.{u1} S (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} S (NonUnitalCommRing.toNonUnitalCommSemiring.{u1} S (CommRing.toNonUnitalCommRing.{u1} S _inst_8)))))) p (HMul.hMul.{u1, u1, u1} S S S (instHMul.{u1} S (NonUnitalNonAssocRing.toMul.{u1} S (NonAssocRing.toNonUnitalNonAssocRing.{u1} S (Ring.toNonAssocRing.{u1} S (CommRing.toRing.{u1} S _inst_8))))) (Polynomial.coeff.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_8)) f i) (HPow.hPow.{u1, 0, u1} S Nat S (instHPow.{u1, 0} S Nat (Monoid.Pow.{u1} S (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_8)))))) r i)))
 Case conversion may be inaccurate. Consider using '#align polynomial.dvd_term_of_is_root_of_dvd_terms Polynomial.dvd_term_of_isRoot_of_dvd_termsₓ'. -/
 /- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (j «expr ≠ » i) -/
 theorem dvd_term_of_isRoot_of_dvd_terms {r p : S} {f : S[X]} (i : ℕ) (hr : f.IsRoot r)
@@ -767,7 +767,7 @@ end Ring
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_3 : CommRing.{u1} R] [_inst_4 : AddCommGroup.{u2} M] [_inst_5 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4)] (f : LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) (v : M) (p : Polynomial.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3))), Eq.{succ u2} M (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) (LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u1} R _inst_3) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) (Module.End.semiring.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u1, u1} R R (CommRing.toCommSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) (Module.End.algebra.{u1, u2} R M (CommRing.toCommSemiring.{u1} R _inst_3) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5)) (fun (_x : AlgHom.{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) (LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u1} R _inst_3) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) (Module.End.semiring.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u1, u1} R R (CommRing.toCommSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) (Module.End.algebra.{u1, u2} R M (CommRing.toCommSemiring.{u1} R _inst_3) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5)) => (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) -> (LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5)) ([anonymous].{u1, u1, u2} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) (LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u1} R _inst_3) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) (Module.End.semiring.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u1, u1} R R (CommRing.toCommSemiring.{u1} R _inst_3) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) (Module.End.algebra.{u1, u2} R M (CommRing.toCommSemiring.{u1} R _inst_3) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5)) (Polynomial.aeval.{u1, u2} R (LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u1} R _inst_3) (Module.End.semiring.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5) (Module.End.algebra.{u1, u2} R M (CommRing.toCommSemiring.{u1} R _inst_3) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5) f) p) v) (Polynomial.sum.{u1, u2} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) p (fun (n : Nat) (b : R) => SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5)))) b (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3))))) (HPow.hPow.{u2, 0, u2} (LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) Nat (LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) (instHPow.{u2, 0} (LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) Nat (Monoid.Pow.{u2} (LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5 _inst_5) (Module.End.monoid.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_5))) f n) v)))
 but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_3 : CommRing.{u2} R] [_inst_4 : AddCommGroup.{u1} M] [_inst_5 : Module.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4)] (f : LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (v : M) (p : Polynomial.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (FunLike.coe.{succ u1, succ u1, succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) => LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) p) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R R M M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)) (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (_x : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) => LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) _x) (SMulHomClass.toFunLike.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (SMulZeroClass.toSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribSMul.toSMulZeroClass.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribMulAction.toDistribSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SMulZeroClass.toSMul.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (AddMonoid.toZero.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))))) (DistribSMul.toSMulZeroClass.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))))) (DistribMulAction.toDistribSMul.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5))))) (Module.toDistribMulAction.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))) (Algebra.toModule.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Module.End.semiring.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))) (Algebra.toModule.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Module.End.semiring.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) 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(Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))) (Algebra.toModule.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Module.End.semiring.{u2, u1} R M (Ring.toSemiring.{u2} R 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(CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)) (AlgHom.algHomClass.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R 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_inst_5)))))) (Polynomial.aeval.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Module.End.semiring.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) f) p) v) (Polynomial.sum.{u2, u1} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (AddCommGroup.toAddCommMonoid.{u1} ((fun 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_inst_3))) (NegZeroClass.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (SubNegZeroMonoid.toNegZeroClass.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (SubtractionMonoid.toSubNegZeroMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (SubtractionCommMonoid.toSubtractionMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (AddCommGroup.toDivisionAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) _inst_4))))) (Module.toMulActionWithZero.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) _inst_4) _inst_5))))) b (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) 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(Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) Nat (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (instHPow.{u1, 0} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) Nat (Monoid.Pow.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.monoid.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5))) f n) v)))
+  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_3 : CommRing.{u2} R] [_inst_4 : AddCommGroup.{u1} M] [_inst_5 : Module.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4)] (f : LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (v : M) (p : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (FunLike.coe.{succ u1, succ u1, succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) p) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)) (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (_x : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) _x) (SMulHomClass.toFunLike.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (SMulZeroClass.toSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribSMul.toSMulZeroClass.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribMulAction.toDistribSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SMulZeroClass.toSMul.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (AddMonoid.toZero.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))))) (DistribSMul.toSMulZeroClass.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))))) (DistribMulAction.toDistribSMul.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5))))) (Module.toDistribMulAction.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))) (Algebra.toModule.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))) (Algebra.toModule.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) 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(Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) 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(AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))) (Algebra.toModule.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, u1, max u1 u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) 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_inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)) (AlgHom.algHomClass.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) 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(x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NegZeroClass.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (SubNegZeroMonoid.toNegZeroClass.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (SubtractionMonoid.toSubNegZeroMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (SubtractionCommMonoid.toSubtractionMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (AddCommGroup.toDivisionAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NegZeroClass.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (SubNegZeroMonoid.toNegZeroClass.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (SubtractionMonoid.toSubNegZeroMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (SubtractionCommMonoid.toSubtractionMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (AddCommGroup.toDivisionAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) _inst_4))))) (Module.toMulActionWithZero.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) _inst_4) _inst_5))))) b (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (HPow.hPow.{u1, 0, u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) Nat (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (instHPow.{u1, 0} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) Nat (Monoid.Pow.{u1} (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.monoid.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5))) f n) v)))
 Case conversion may be inaccurate. Consider using '#align polynomial.aeval_endomorphism Polynomial.aeval_endomorphismₓ'. -/
 theorem aeval_endomorphism {M : Type _} [CommRing R] [AddCommGroup M] [Module R M] (f : M →ₗ[R] M)
     (v : M) (p : R[X]) : aeval f p v = p.Sum fun n b => b • (f ^ n) v :=

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

@@ -434,7 +434,7 @@ theorem coe_aeval_eq_evalRingHom (x : R) :
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_3 : CommSemiring.{u1} R] {X : Type.{u2}} (g : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (f : X -> R) (x : X), Eq.{succ u1} R (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (AlgHom.{u1, u1, max u2 u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Pi.semiring.{u2, u1} X (fun (ᾰ : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) (Function.algebra.{u1, u2, u1} R X R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3))) (fun (_x : AlgHom.{u1, u1, max u2 u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Pi.semiring.{u2, u1} X (fun (ᾰ : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) (Function.algebra.{u1, u2, u1} R X R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3))) => (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) -> X -> R) ([anonymous].{u1, u1, max u2 u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Pi.semiring.{u2, u1} X (fun (ᾰ : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) (Function.algebra.{u1, u2, u1} R X R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3))) (Polynomial.aeval.{u1, max u2 u1} R (X -> R) _inst_3 (Pi.semiring.{u2, u1} X (fun (ᾰ : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u1} R _inst_3)) (Function.algebra.{u1, u2, u1} R X R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) f) g x) (coeFn.{succ u1, succ u1} (AlgHom.{u1, u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) R _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_3) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) (Algebra.id.{u1} R _inst_3)) (fun (_x : AlgHom.{u1, u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) R _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_3) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) (Algebra.id.{u1} R _inst_3)) => (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) -> R) ([anonymous].{u1, u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) R _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_3) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) (Algebra.id.{u1} R _inst_3)) (Polynomial.aeval.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3) (f x)) g)
 but is expected to have type
-  forall {R : Type.{u2}} [_inst_3 : CommSemiring.{u2} R] {X : Type.{u1}} (g : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (f : X -> R) (x : X), Eq.{succ u2} R (FunLike.coe.{max (succ u2) (succ u1), succ u2, max (succ u2) (succ u1)} (AlgHom.{u2, u2, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))) (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (fun (_x : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => X -> R) _x) (SMulHomClass.toFunLike.{max u2 u1, u2, u2, max u2 u1} (AlgHom.{u2, u2, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) (SMulZeroClass.toSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3))))))) (SMulZeroClass.toSMul.{u2, max u2 u1} R (X -> R) (AddMonoid.toZero.{max u2 u1} (X -> R) (AddCommMonoid.toAddMonoid.{max u2 u1} (X -> R) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u1} R (X -> R) (AddMonoid.toAddZeroClass.{max u2 u1} (X -> R) (AddCommMonoid.toAddMonoid.{max u2 u1} (X -> R) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u1} R (X -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{max u2 u1} (X -> R) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (X -> R) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, max u2 u1} R (X -> R) _inst_3 (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u2, u2, max u2 u1} (AlgHom.{u2, u2, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (AddCommMonoid.toAddMonoid.{max u2 u1} (X -> R) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)))))) 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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, max u2 u1} R (X -> R) _inst_3 (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u2, u2, max u2 u1} (AlgHom.{u2, u2, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun 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(Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, max u2 u1} R (X -> R) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, max u2 u1} R (X -> R) _inst_3 (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, max u2 u1, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3)) (AlgHom.{u2, u2, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 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(Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))))))) (Polynomial.aeval.{u2, max u2 u1} R (X -> R) _inst_3 (Pi.semiring.{u1, u2} X (fun (ᾰ : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3)) f) g x) (FunLike.coe.{succ u2, succ u2, succ u2} (AlgHom.{u2, u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Algebra.id.{u2} R _inst_3)) (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (fun (_x : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => R) _x) (SMulHomClass.toFunLike.{u2, u2, u2, u2} (AlgHom.{u2, u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Algebra.id.{u2} R _inst_3)) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R (SMulZeroClass.toSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3))))))) (SMulZeroClass.toSMul.{u2, u2} R R (AddMonoid.toZero.{u2} R (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (DistribSMul.toSMulZeroClass.{u2, u2} R R (AddMonoid.toAddZeroClass.{u2} R (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (DistribMulAction.toDistribSMul.{u2, u2} R R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, u2} R R (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))))) (DistribMulActionHomClass.toSMulHomClass.{u2, u2, u2, u2} (AlgHom.{u2, u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Algebra.id.{u2} R _inst_3)) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, u2} R R (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{u2, u2, u2, u2} (AlgHom.{u2, u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Algebra.id.{u2} R _inst_3)) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, u2} R R (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Algebra.id.{u2} R _inst_3) (AlgHom.{u2, u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Algebra.id.{u2} R _inst_3)) (AlgHom.algHomClass.{u2, u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Algebra.id.{u2} R _inst_3)))))) (Polynomial.aeval.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3) (f x)) g)
+  forall {R : Type.{u2}} [_inst_3 : CommSemiring.{u2} R] {X : Type.{u1}} (g : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (f : X -> R) (x : X), Eq.{succ u2} R (FunLike.coe.{max (succ u2) (succ u1), succ u2, max (succ u2) (succ u1)} (AlgHom.{u2, u2, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))) (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (fun (_x : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => X -> R) _x) (SMulHomClass.toFunLike.{max u2 u1, u2, u2, max u2 u1} (AlgHom.{u2, u2, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) (SMulZeroClass.toSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3))))))) (SMulZeroClass.toSMul.{u2, max u2 u1} R (X -> R) (AddMonoid.toZero.{max u2 u1} (X -> R) (AddCommMonoid.toAddMonoid.{max u2 u1} (X -> R) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u1} R (X -> R) (AddMonoid.toAddZeroClass.{max u2 u1} (X -> R) (AddCommMonoid.toAddMonoid.{max u2 u1} (X -> R) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u1} R (X -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{max u2 u1} (X -> R) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (X -> R) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, max u2 u1} R (X -> R) _inst_3 (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u2, u2, max u2 u1} (AlgHom.{u2, u2, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (AddCommMonoid.toAddMonoid.{max u2 u1} (X -> R) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, max u2 u1} R (X -> R) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, max u2 u1} R (X -> R) _inst_3 (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u2, u2, max u2 u1} (AlgHom.{u2, u2, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun 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(Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, max u2 u1} R (X -> R) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, max u2 u1} R (X -> R) _inst_3 (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, max u2 u1, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4519 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3)) (AlgHom.{u2, u2, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 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R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (DistribMulAction.toDistribSMul.{u2, u2} R R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, u2} R R (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))))) (DistribMulActionHomClass.toSMulHomClass.{u2, u2, u2, u2} 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_inst_3)))))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, u2} R R (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{u2, u2, u2, u2} (AlgHom.{u2, u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Algebra.id.{u2} R _inst_3)) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, u2} R R (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Algebra.id.{u2} R _inst_3) (AlgHom.{u2, u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Algebra.id.{u2} R _inst_3)) (AlgHom.algHomClass.{u2, u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Algebra.id.{u2} R _inst_3)))))) (Polynomial.aeval.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3) (f x)) g)
 Case conversion may be inaccurate. Consider using '#align polynomial.aeval_fn_apply Polynomial.aeval_fn_applyₓ'. -/
 @[simp]
 theorem aeval_fn_apply {X : Type _} (g : R[X]) (f : X → R) (x : X) :

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

@@ -434,7 +434,7 @@ theorem coe_aeval_eq_evalRingHom (x : R) :
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_3 : CommSemiring.{u1} R] {X : Type.{u2}} (g : Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (f : X -> R) (x : X), Eq.{succ u1} R (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (AlgHom.{u1, u1, max u2 u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Pi.semiring.{u2, u1} X (fun (ᾰ : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) (Function.algebra.{u1, u2, u1} R X R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3))) (fun (_x : AlgHom.{u1, u1, max u2 u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Pi.semiring.{u2, u1} X (fun (ᾰ : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) (Function.algebra.{u1, u2, u1} R X R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3))) => (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) -> X -> R) ([anonymous].{u1, u1, max u2 u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Pi.semiring.{u2, u1} X (fun (ᾰ : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) (Function.algebra.{u1, u2, u1} R X R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3))) (Polynomial.aeval.{u1, max u2 u1} R (X -> R) _inst_3 (Pi.semiring.{u2, u1} X (fun (ᾰ : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u1} R _inst_3)) (Function.algebra.{u1, u2, u1} R X R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) f) g x) (coeFn.{succ u1, succ u1} (AlgHom.{u1, u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) R _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_3) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) (Algebra.id.{u1} R _inst_3)) (fun (_x : AlgHom.{u1, u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) R _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_3) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) (Algebra.id.{u1} R _inst_3)) => (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) -> R) ([anonymous].{u1, u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) R _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_3) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3)) (Algebra.id.{u1} R _inst_3)) (Polynomial.aeval.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3) (f x)) g)
 but is expected to have type
-  forall {R : Type.{u2}} [_inst_3 : CommSemiring.{u2} R] {X : Type.{u1}} (g : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (f : X -> R) (x : X), Eq.{succ u2} R (FunLike.coe.{max (succ u2) (succ u1), succ u2, max (succ u2) (succ u1)} (AlgHom.{u2, u2, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))) (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (fun (_x : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => X -> R) _x) (SMulHomClass.toFunLike.{max u2 u1, u2, u2, max u2 u1} (AlgHom.{u2, u2, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) (SMulZeroClass.toSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3))))))) (SMulZeroClass.toSMul.{u2, max u2 u1} R (X -> R) (AddMonoid.toZero.{max u2 u1} (X -> R) (AddCommMonoid.toAddMonoid.{max u2 u1} (X -> R) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u1} R (X -> R) (AddMonoid.toAddZeroClass.{max u2 u1} (X -> R) (AddCommMonoid.toAddMonoid.{max u2 u1} (X -> R) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u1} R (X -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{max u2 u1} (X -> R) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (X -> R) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, max u2 u1} R (X -> R) _inst_3 (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u2, u2, max u2 u1} (AlgHom.{u2, u2, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (AddCommMonoid.toAddMonoid.{max u2 u1} (X -> R) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)))))) 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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, max u2 u1} R (X -> R) _inst_3 (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u2, u2, max u2 u1} (AlgHom.{u2, u2, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun 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(Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, max u2 u1} R (X -> R) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, max u2 u1} R (X -> R) _inst_3 (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, max u2 u1, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3)) (AlgHom.{u2, u2, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 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(Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))))))) (Polynomial.aeval.{u2, max u2 u1} R (X -> R) _inst_3 (Pi.semiring.{u1, u2} X (fun (ᾰ : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3)) f) g x) (FunLike.coe.{succ u2, succ u2, succ u2} (AlgHom.{u2, u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Algebra.id.{u2} R _inst_3)) (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (fun (_x : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => R) _x) (SMulHomClass.toFunLike.{u2, u2, u2, u2} (AlgHom.{u2, u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Algebra.id.{u2} R _inst_3)) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R (SMulZeroClass.toSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3))))))) (SMulZeroClass.toSMul.{u2, u2} R R (AddMonoid.toZero.{u2} R (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (DistribSMul.toSMulZeroClass.{u2, u2} R R (AddMonoid.toAddZeroClass.{u2} R (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (DistribMulAction.toDistribSMul.{u2, u2} R R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, u2} R R (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))))) (DistribMulActionHomClass.toSMulHomClass.{u2, u2, u2, u2} (AlgHom.{u2, u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Algebra.id.{u2} R _inst_3)) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, u2} R R (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{u2, u2, u2, u2} (AlgHom.{u2, u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Algebra.id.{u2} R _inst_3)) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, u2} R R (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Algebra.id.{u2} R _inst_3) (AlgHom.{u2, u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Algebra.id.{u2} R _inst_3)) (AlgHom.algHomClass.{u2, u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Algebra.id.{u2} R _inst_3)))))) (Polynomial.aeval.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3) (f x)) g)
+  forall {R : Type.{u2}} [_inst_3 : CommSemiring.{u2} R] {X : Type.{u1}} (g : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (f : X -> R) (x : X), Eq.{succ u2} R (FunLike.coe.{max (succ u2) (succ u1), succ u2, max (succ u2) (succ u1)} (AlgHom.{u2, u2, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))) (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (fun (_x : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => X -> R) _x) (SMulHomClass.toFunLike.{max u2 u1, u2, u2, max u2 u1} (AlgHom.{u2, u2, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) (SMulZeroClass.toSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3))))))) (SMulZeroClass.toSMul.{u2, max u2 u1} R (X -> R) (AddMonoid.toZero.{max u2 u1} (X -> R) (AddCommMonoid.toAddMonoid.{max u2 u1} (X -> R) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u1} R (X -> R) (AddMonoid.toAddZeroClass.{max u2 u1} (X -> R) (AddCommMonoid.toAddMonoid.{max u2 u1} (X -> R) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u1} R (X -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{max u2 u1} (X -> R) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (X -> R) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, max u2 u1} R (X -> R) _inst_3 (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u2, u2, max u2 u1} (AlgHom.{u2, u2, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (AddCommMonoid.toAddMonoid.{max u2 u1} (X -> R) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, max u2 u1} R (X -> R) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, max u2 u1} R (X -> R) _inst_3 (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u2, u2, max u2 u1} (AlgHom.{u2, u2, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun 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(Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, max u2 u1} R (X -> R) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, max u2 u1} R (X -> R) _inst_3 (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, max u2 u1, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3)) (AlgHom.{u2, u2, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 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(Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))))))) (Polynomial.aeval.{u2, max u2 u1} R (X -> R) _inst_3 (Pi.semiring.{u1, u2} X (fun (ᾰ : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4521 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3)) f) g x) (FunLike.coe.{succ u2, succ u2, succ u2} (AlgHom.{u2, u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Algebra.id.{u2} R _inst_3)) (Polynomial.{u2} R 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R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (DistribMulAction.toDistribSMul.{u2, u2} R R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, u2} R R (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Algebra.toModule.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))))) (DistribMulActionHomClass.toSMulHomClass.{u2, u2, u2, u2} 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_inst_3)))))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 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(Polynomial.aeval.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3) (f x)) g)
 Case conversion may be inaccurate. Consider using '#align polynomial.aeval_fn_apply Polynomial.aeval_fn_applyₓ'. -/
 @[simp]
 theorem aeval_fn_apply {X : Type _} (g : R[X]) (f : X → R) (x : X) :

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

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
 
 ! This file was ported from Lean 3 source module data.polynomial.algebra_map
-! leanprover-community/mathlib commit e064a7bf82ad94c3c17b5128bbd860d1ec34874e
+! leanprover-community/mathlib commit 10bf4f825ad729c5653adc039dafa3622e7f93c9
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -15,6 +15,9 @@ import Mathbin.Data.Polynomial.Eval
 /-!
 # Theory of univariate polynomials
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 We show that `A[X]` is an R-algebra when `A` is an R-algebra.
 We promote `eval₂` to an algebra hom in `aeval`.
 -/

mathlib commit https://github.com/leanprover-community/mathlib/commit/2af0836443b4cfb5feda0df0051acdb398304931

@@ -40,6 +40,7 @@ variable [CommSemiring R] {p q r : R[X]}
 
 variable [Semiring A] [Algebra R A]
 
+#print Polynomial.algebraOfAlgebra /-
 /-- Note that this instance also provides `algebra R R[X]`. -/
 instance algebraOfAlgebra : Algebra R A[X]
     where
@@ -57,11 +58,24 @@ instance algebraOfAlgebra : Algebra R A[X]
       convert Algebra.commutes' r p.to_finsupp
   toRingHom := C.comp (algebraMap R A)
 #align polynomial.algebra_of_algebra Polynomial.algebraOfAlgebra
+-/
 
+/- warning: polynomial.algebra_map_apply -> Polynomial.algebraMap_apply is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align polynomial.algebra_map_apply Polynomial.algebraMap_applyₓ'. -/
 theorem algebraMap_apply (r : R) : algebraMap R A[X] r = C (algebraMap R A r) :=
   rfl
 #align polynomial.algebra_map_apply Polynomial.algebraMap_apply
 
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+Case conversion may be inaccurate. Consider using '#align polynomial.to_finsupp_algebra_map Polynomial.toFinsupp_algebraMapₓ'. -/
 @[simp]
 theorem toFinsupp_algebraMap (r : R) : (algebraMap R A[X] r).toFinsupp = algebraMap R _ r :=
   show toFinsupp (C (algebraMap _ _ r)) = _
@@ -70,21 +84,39 @@ theorem toFinsupp_algebraMap (r : R) : (algebraMap R A[X] r).toFinsupp = algebra
     rfl
 #align polynomial.to_finsupp_algebra_map Polynomial.toFinsupp_algebraMap
 
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(Polynomial.semiring.{u2} A _inst_4) (Polynomial.algebraOfAlgebra.{u1, u2} R A _inst_3 _inst_4 _inst_5)) r)
+Case conversion may be inaccurate. Consider using '#align polynomial.of_finsupp_algebra_map Polynomial.ofFinsupp_algebraMapₓ'. -/
 theorem ofFinsupp_algebraMap (r : R) : (⟨algebraMap R _ r⟩ : A[X]) = algebraMap R A[X] r :=
   toFinsupp_injective (toFinsupp_algebraMap _).symm
 #align polynomial.of_finsupp_algebra_map Polynomial.ofFinsupp_algebraMap
 
+/- warning: polynomial.C_eq_algebra_map -> Polynomial.C_eq_algebraMap is a dubious translation:
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_inst_3)) (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))))))) (algebraMap.{u1, u1} R (Polynomial.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_3 (Polynomial.semiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Polynomial.algebraOfAlgebra.{u1, u1} R R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_3) (Algebra.id.{u1} R _inst_3))) r)
+Case conversion may be inaccurate. Consider using '#align polynomial.C_eq_algebra_map Polynomial.C_eq_algebraMapₓ'. -/
 /-- When we have `[comm_semiring R]`, the function `C` is the same as `algebra_map R R[X]`.
 
 (But note that `C` is defined when `R` is not necessarily commutative, in which case
 `algebra_map` is not available.)
 -/
-theorem c_eq_algebraMap (r : R) : C r = algebraMap R R[X] r :=
+theorem C_eq_algebraMap (r : R) : C r = algebraMap R R[X] r :=
   rfl
-#align polynomial.C_eq_algebra_map Polynomial.c_eq_algebraMap
+#align polynomial.C_eq_algebra_map Polynomial.C_eq_algebraMap
 
 variable {R}
 
+/- warning: polynomial.alg_hom_ext' -> Polynomial.algHom_ext' is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {A' : Type.{u2}} {B' : Type.{u3}} [_inst_1 : CommSemiring.{u2} A'] [_inst_2 : Semiring.{u3} B'] [_inst_3 : CommSemiring.{u1} R] [_inst_6 : Algebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1)] [_inst_7 : Algebra.{u1, u3} R B' _inst_3 _inst_2] {f : AlgHom.{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7} {g : AlgHom.{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7}, (Eq.{max (succ u2) (succ u3)} (AlgHom.{u1, u2, u3} R A' B' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_2 _inst_6 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(Semiring.toModule.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1))) (IsScalarTower.right.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6))))) -> (Eq.{succ u3} B' (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AlgHom.{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) (fun (_x : AlgHom.{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u1, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7) => (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) -> B') ([anonymous].{u1, u2, u3} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' 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+but is expected to have type
+  forall {R : Type.{u3}} {A' : Type.{u2}} {B' : Type.{u1}} [_inst_1 : CommSemiring.{u2} A'] [_inst_2 : Semiring.{u1} B'] [_inst_3 : CommSemiring.{u3} R] [_inst_6 : Algebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1)] [_inst_7 : Algebra.{u3, u1} R B' _inst_3 _inst_2] {f : AlgHom.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7} {g : AlgHom.{u3, u2, u1} R (Polynomial.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) B' _inst_3 (Polynomial.semiring.{u2} A' (CommSemiring.toSemiring.{u2} A' _inst_1)) _inst_2 (Polynomial.algebraOfAlgebra.{u3, u2} R A' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_6) _inst_7}, (Eq.{max (succ u2) (succ u1)} (AlgHom.{u3, u2, u1} R A' B' _inst_3 (CommSemiring.toSemiring.{u2} A' _inst_1) _inst_2 _inst_6 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+Case conversion may be inaccurate. Consider using '#align polynomial.alg_hom_ext' Polynomial.algHom_ext'ₓ'. -/
 /-- Extensionality lemma for algebra maps out of `A'[X]` over a smaller base ring than `A'`
 -/
 @[ext]
@@ -96,6 +128,7 @@ theorem algHom_ext' [Algebra R A'] [Algebra R B'] {f g : A'[X] →ₐ[R] B'}
 
 variable (R)
 
+#print Polynomial.toFinsuppIsoAlg /-
 /-- Algebra isomorphism between `R[X]` and `add_monoid_algebra R ℕ`. This is just an
 implementation detail, but it can be useful to transfer results from `finsupp` to polynomials. -/
 @[simps]
@@ -105,6 +138,7 @@ def toFinsuppIsoAlg : R[X] ≃ₐ[R] AddMonoidAlgebra R ℕ :=
       dsimp
       exact to_finsupp_algebra_map _ }
 #align polynomial.to_finsupp_iso_alg Polynomial.toFinsuppIsoAlg
+-/
 
 variable {R}
 
@@ -119,6 +153,12 @@ instance [Nontrivial A] : Nontrivial (Subalgebra R A[X]) :=
       refine' ⟨1, _⟩
       simp [coeff_C]⟩⟩
 
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+Case conversion may be inaccurate. Consider using '#align polynomial.alg_hom_eval₂_algebra_map Polynomial.algHom_eval₂_algebraMapₓ'. -/
 @[simp]
 theorem algHom_eval₂_algebraMap {R A B : Type _} [CommSemiring R] [Semiring A] [Semiring B]
     [Algebra R A] [Algebra R B] (p : R[X]) (f : A →ₐ[R] B) (a : A) :
@@ -128,16 +168,28 @@ theorem algHom_eval₂_algebraMap {R A B : Type _} [CommSemiring R] [Semiring A]
   simp only [f.map_sum, f.map_mul, f.map_pow, eq_intCast, map_intCast, AlgHom.commutes]
 #align polynomial.alg_hom_eval₂_algebra_map Polynomial.algHom_eval₂_algebraMap
 
+/- warning: polynomial.eval₂_algebra_map_X -> Polynomial.eval₂_algebraMap_X is a dubious translation:
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(Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (CommSemiring.toSemiring.{u2} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)))) (Module.toDistribMulAction.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_7))) (Algebra.toModule.{u2, u1} R A _inst_6 _inst_7 _inst_8)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)) _inst_8) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_7)) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (CommSemiring.toSemiring.{u2} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)))) (Module.toDistribMulAction.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_7))) (Algebra.toModule.{u2, u1} R A _inst_6 _inst_7 _inst_8)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, u1, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)) _inst_8 (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)) _inst_8) (AlgHom.algHomClass.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)) _inst_8))))) f (Polynomial.X.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6))) p) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)) _inst_8) (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (fun (_x : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) => A) 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(AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (CommSemiring.toSemiring.{u2} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6))))))) (SMulZeroClass.toSMul.{u2, u1} R A (AddMonoid.toZero.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_7))))) (DistribSMul.toSMulZeroClass.{u2, u1} R A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_7))))) (DistribMulAction.toDistribSMul.{u2, u1} R A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6))) (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_7)))) (Module.toDistribMulAction.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_7))) (Algebra.toModule.{u2, u1} R A _inst_6 _inst_7 _inst_8))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)) _inst_8) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)))))) (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_7)))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (CommSemiring.toSemiring.{u2} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)))) (Module.toDistribMulAction.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_7))) (Algebra.toModule.{u2, u1} R A _inst_6 _inst_7 _inst_8)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)) _inst_8) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_7)) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (CommSemiring.toSemiring.{u2} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)))) (Module.toDistribMulAction.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_7))) (Algebra.toModule.{u2, u1} R A _inst_6 _inst_7 _inst_8)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, u1, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)) _inst_8 (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)) _inst_8) (AlgHom.algHomClass.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) A _inst_6 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_6)) _inst_7 (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_6 (CommSemiring.toSemiring.{u2} R _inst_6) (Algebra.id.{u2} R _inst_6)) _inst_8))))) f p)
+Case conversion may be inaccurate. Consider using '#align polynomial.eval₂_algebra_map_X Polynomial.eval₂_algebraMap_Xₓ'. -/
 @[simp]
-theorem eval₂_algebraMap_x {R A : Type _} [CommSemiring R] [Semiring A] [Algebra R A] (p : R[X])
+theorem eval₂_algebraMap_X {R A : Type _} [CommSemiring R] [Semiring A] [Algebra R A] (p : R[X])
     (f : R[X] →ₐ[R] A) : eval₂ (algebraMap R A) (f X) p = f p :=
   by
   conv_rhs => rw [← Polynomial.sum_C_mul_X_pow_eq p]
   dsimp [eval₂, Sum]
   simp only [f.map_sum, f.map_mul, f.map_pow, eq_intCast, map_intCast]
-  simp [Polynomial.c_eq_algebraMap]
-#align polynomial.eval₂_algebra_map_X Polynomial.eval₂_algebraMap_x
-
+  simp [Polynomial.C_eq_algebraMap]
+#align polynomial.eval₂_algebra_map_X Polynomial.eval₂_algebraMap_X
+
+/- warning: polynomial.ring_hom_eval₂_cast_int_ring_hom -> Polynomial.ringHom_eval₂_cast_int_ringHom is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S : Type.{u2}} [_inst_6 : Ring.{u1} R] [_inst_7 : Ring.{u2} S] (p : Polynomial.{0} Int Int.semiring) (f : RingHom.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6)) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S _inst_7))) (r : R), Eq.{succ u2} S (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6)) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S _inst_7))) (fun (_x : RingHom.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6)) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S _inst_7))) => R -> S) (RingHom.hasCoeToFun.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6)) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S _inst_7))) f (Polynomial.eval₂.{0, u1} Int R Int.semiring (Ring.toSemiring.{u1} R _inst_6) (Int.castRingHom.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6)) r p)) (Polynomial.eval₂.{0, u2} Int S Int.semiring (Ring.toSemiring.{u2} S _inst_7) (Int.castRingHom.{u2} S (Ring.toNonAssocRing.{u2} S _inst_7)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6)) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S _inst_7))) (fun (_x : RingHom.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6)) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S _inst_7))) => R -> S) (RingHom.hasCoeToFun.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6)) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S _inst_7))) f r) p)
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align polynomial.ring_hom_eval₂_cast_int_ring_hom Polynomial.ringHom_eval₂_cast_int_ringHomₓ'. -/
 -- these used to be about `algebra_map ℤ R`, but now the simp-normal form is `int.cast_ring_hom R`.
 @[simp]
 theorem ringHom_eval₂_cast_int_ringHom {R S : Type _} [Ring R] [Ring S] (p : ℤ[X]) (f : R →+* S)
@@ -145,11 +197,17 @@ theorem ringHom_eval₂_cast_int_ringHom {R S : Type _} [Ring R] [Ring S] (p : 
   algHom_eval₂_algebraMap p f.toIntAlgHom r
 #align polynomial.ring_hom_eval₂_cast_int_ring_hom Polynomial.ringHom_eval₂_cast_int_ringHom
 
+/- warning: polynomial.eval₂_int_cast_ring_hom_X -> Polynomial.eval₂_int_castRingHom_X is a dubious translation:
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(Ring.toNonAssocRing.{u1} R _inst_6)) (RingHom.instRingHomClassRingHom.{0, u1} (Polynomial.{0} Int Int.instSemiringInt) R (NonAssocRing.toNonAssocSemiring.{0} (Polynomial.{0} Int Int.instSemiringInt) (Ring.toNonAssocRing.{0} (Polynomial.{0} Int Int.instSemiringInt) (Polynomial.ring.{0} Int Int.instRingInt))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_6)))))) f p)
+Case conversion may be inaccurate. Consider using '#align polynomial.eval₂_int_cast_ring_hom_X Polynomial.eval₂_int_castRingHom_Xₓ'. -/
 @[simp]
-theorem eval₂_int_castRingHom_x {R : Type _} [Ring R] (p : ℤ[X]) (f : ℤ[X] →+* R) :
+theorem eval₂_int_castRingHom_X {R : Type _} [Ring R] (p : ℤ[X]) (f : ℤ[X] →+* R) :
     eval₂ (Int.castRingHom R) (f X) p = f p :=
-  eval₂_algebraMap_x p f.toIntAlgHom
-#align polynomial.eval₂_int_cast_ring_hom_X Polynomial.eval₂_int_castRingHom_x
+  eval₂_algebraMap_X p f.toIntAlgHom
+#align polynomial.eval₂_int_cast_ring_hom_X Polynomial.eval₂_int_castRingHom_X
 
 end CommSemiring
 
@@ -163,6 +221,7 @@ variable {B : Type _} [Semiring B] [Algebra R B]
 
 variable (x : A)
 
+#print Polynomial.aeval /-
 /-- Given a valuation `x` of the variable in an `R`-algebra `A`, `aeval R A x` is
 the unique `R`-algebra homomorphism from `R[X]` to `A` sending `X` to `x`.
 
@@ -171,103 +230,160 @@ def aeval : R[X] →ₐ[R] A :=
   { eval₂RingHom' (algebraMap R A) x fun a => Algebra.commutes _ _ with
     commutes' := fun r => eval₂_C _ _ }
 #align polynomial.aeval Polynomial.aeval
+-/
 
 variable {R A}
 
+/- warning: polynomial.adjoin_X -> Polynomial.adjoin_X is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align polynomial.adjoin_X Polynomial.adjoin_Xₓ'. -/
 @[simp]
-theorem adjoin_x : Algebra.adjoin R ({X} : Set R[X]) = ⊤ :=
+theorem adjoin_X : Algebra.adjoin R ({X} : Set R[X]) = ⊤ :=
   by
   refine' top_unique fun p hp => _
   set S := Algebra.adjoin R ({X} : Set R[X])
   rw [← sum_monomial_eq p]; simp only [← smul_X_eq_monomial, Sum]
   exact S.sum_mem fun n hn => S.smul_mem (S.pow_mem (Algebra.subset_adjoin rfl) _) _
-#align polynomial.adjoin_X Polynomial.adjoin_x
+#align polynomial.adjoin_X Polynomial.adjoin_X
 
+#print Polynomial.algHom_ext /-
 @[ext]
 theorem algHom_ext {f g : R[X] →ₐ[R] A} (h : f X = g X) : f = g :=
-  AlgHom.ext_of_adjoin_eq_top adjoin_x fun p hp => (Set.mem_singleton_iff.1 hp).symm ▸ h
+  AlgHom.ext_of_adjoin_eq_top adjoin_X fun p hp => (Set.mem_singleton_iff.1 hp).symm ▸ h
 #align polynomial.alg_hom_ext Polynomial.algHom_ext
+-/
 
+#print Polynomial.aeval_def /-
 theorem aeval_def (p : R[X]) : aeval x p = eval₂ (algebraMap R A) x p :=
   rfl
 #align polynomial.aeval_def Polynomial.aeval_def
+-/
 
+#print Polynomial.aeval_zero /-
 @[simp]
 theorem aeval_zero : aeval x (0 : R[X]) = 0 :=
   AlgHom.map_zero (aeval x)
 #align polynomial.aeval_zero Polynomial.aeval_zero
+-/
 
+#print Polynomial.aeval_X /-
 @[simp]
-theorem aeval_x : aeval x (X : R[X]) = x :=
+theorem aeval_X : aeval x (X : R[X]) = x :=
   eval₂_X _ x
-#align polynomial.aeval_X Polynomial.aeval_x
+#align polynomial.aeval_X Polynomial.aeval_X
+-/
 
+#print Polynomial.aeval_C /-
 @[simp]
-theorem aeval_c (r : R) : aeval x (C r) = algebraMap R A r :=
+theorem aeval_C (r : R) : aeval x (C r) = algebraMap R A r :=
   eval₂_C _ x
-#align polynomial.aeval_C Polynomial.aeval_c
+#align polynomial.aeval_C Polynomial.aeval_C
+-/
 
+#print Polynomial.aeval_monomial /-
 @[simp]
 theorem aeval_monomial {n : ℕ} {r : R} : aeval x (monomial n r) = algebraMap _ _ r * x ^ n :=
   eval₂_monomial _ _
 #align polynomial.aeval_monomial Polynomial.aeval_monomial
+-/
 
+#print Polynomial.aeval_X_pow /-
 @[simp]
-theorem aeval_x_pow {n : ℕ} : aeval x ((X : R[X]) ^ n) = x ^ n :=
+theorem aeval_X_pow {n : ℕ} : aeval x ((X : R[X]) ^ n) = x ^ n :=
   eval₂_X_pow _ _
-#align polynomial.aeval_X_pow Polynomial.aeval_x_pow
+#align polynomial.aeval_X_pow Polynomial.aeval_X_pow
+-/
 
+#print Polynomial.aeval_add /-
 @[simp]
 theorem aeval_add : aeval x (p + q) = aeval x p + aeval x q :=
   AlgHom.map_add _ _ _
 #align polynomial.aeval_add Polynomial.aeval_add
+-/
 
+#print Polynomial.aeval_one /-
 @[simp]
 theorem aeval_one : aeval x (1 : R[X]) = 1 :=
   AlgHom.map_one _
 #align polynomial.aeval_one Polynomial.aeval_one
+-/
 
+#print Polynomial.aeval_bit0 /-
 @[simp]
 theorem aeval_bit0 : aeval x (bit0 p) = bit0 (aeval x p) :=
   AlgHom.map_bit0 _ _
 #align polynomial.aeval_bit0 Polynomial.aeval_bit0
+-/
 
+#print Polynomial.aeval_bit1 /-
 @[simp]
 theorem aeval_bit1 : aeval x (bit1 p) = bit1 (aeval x p) :=
   AlgHom.map_bit1 _ _
 #align polynomial.aeval_bit1 Polynomial.aeval_bit1
+-/
 
+#print Polynomial.aeval_nat_cast /-
 @[simp]
 theorem aeval_nat_cast (n : ℕ) : aeval x (n : R[X]) = n :=
   map_natCast _ _
 #align polynomial.aeval_nat_cast Polynomial.aeval_nat_cast
+-/
 
+#print Polynomial.aeval_mul /-
 theorem aeval_mul : aeval x (p * q) = aeval x p * aeval x q :=
   AlgHom.map_mul _ _ _
 #align polynomial.aeval_mul Polynomial.aeval_mul
+-/
 
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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8)))))) (DistribMulAction.toDistribSMul.{u2, u1} R A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8))))) (Module.toDistribMulAction.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8)))) (Algebra.toModule.{u2, u1} R A _inst_3 (CommSemiring.toSemiring.{u1} A _inst_8) _inst_9))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} 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A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8)))) (Algebra.toModule.{u2, u1} R A _inst_3 (CommSemiring.toSemiring.{u1} A _inst_8) _inst_9)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A _inst_8) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R 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(CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9 (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A _inst_8) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9) (AlgHom.algHomClass.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A _inst_8) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9))))) (Polynomial.aeval.{u2, u1} R A _inst_3 (CommSemiring.toSemiring.{u1} A _inst_8) _inst_9 x) (Polynomial.comp.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3) p q)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (AlgHom.{u2, u2, 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(x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (AddCommMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_8)))))) (DistribMulAction.toDistribSMul.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_8))))) (Module.toDistribMulAction.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_8)))) (Algebra.toModule.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_3 (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_8) _inst_9))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_8) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} 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Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_8))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R 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(x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_8)))) (Algebra.toModule.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_3 (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_8) _inst_9)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_8) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R 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_inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_8)))) (Algebra.toModule.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_3 (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_8) _inst_9)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, u1, max u1 u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A) q) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} ((fun 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_inst_3)) A _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A _inst_8) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) _inst_9))))) (Polynomial.aeval.{u2, u1} R A _inst_3 (CommSemiring.toSemiring.{u1} A _inst_8) _inst_9 x) q)) p)
+Case conversion may be inaccurate. Consider using '#align polynomial.aeval_comp Polynomial.aeval_compₓ'. -/
 theorem aeval_comp {A : Type _} [CommSemiring A] [Algebra R A] (x : A) :
     aeval x (p.comp q) = aeval (aeval x q) p :=
   eval₂_comp (algebraMap R A)
 #align polynomial.aeval_comp Polynomial.aeval_comp
 
+/- warning: polynomial.aeval_alg_hom -> Polynomial.aeval_algHom is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align polynomial.aeval_alg_hom Polynomial.aeval_algHomₓ'. -/
 theorem aeval_algHom (f : A →ₐ[R] B) (x : A) : aeval (f x) = f.comp (aeval x) :=
   algHom_ext <| by simp only [aeval_X, AlgHom.comp_apply]
 #align polynomial.aeval_alg_hom Polynomial.aeval_algHom
 
+#print Polynomial.aeval_X_left /-
 @[simp]
-theorem aeval_x_left : aeval (X : R[X]) = AlgHom.id R R[X] :=
-  algHom_ext <| aeval_x X
-#align polynomial.aeval_X_left Polynomial.aeval_x_left
+theorem aeval_X_left : aeval (X : R[X]) = AlgHom.id R R[X] :=
+  algHom_ext <| aeval_X X
+#align polynomial.aeval_X_left Polynomial.aeval_X_left
+-/
 
-theorem aeval_x_left_apply (p : R[X]) : aeval X p = p :=
-  AlgHom.congr_fun (@aeval_x_left R _) p
-#align polynomial.aeval_X_left_apply Polynomial.aeval_x_left_apply
+#print Polynomial.aeval_X_left_apply /-
+theorem aeval_X_left_apply (p : R[X]) : aeval X p = p :=
+  AlgHom.congr_fun (@aeval_X_left R _) p
+#align polynomial.aeval_X_left_apply Polynomial.aeval_X_left_apply
+-/
 
+#print Polynomial.eval_unique /-
 theorem eval_unique (φ : R[X] →ₐ[R] A) (p) : φ p = eval₂ (algebraMap R A) (φ X) p := by
   rw [← aeval_def, aeval_alg_hom, aeval_X_left, AlgHom.comp_id]
 #align polynomial.eval_unique Polynomial.eval_unique
+-/
 
+/- warning: polynomial.aeval_alg_hom_apply -> Polynomial.aeval_algHom_apply is a dubious translation:
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+but is expected to have type
+  forall {R : Type.{u3}} {A : Type.{u4}} [_inst_3 : CommSemiring.{u3} R] [_inst_4 : Semiring.{u4} A] [_inst_5 : Algebra.{u3, u4} R A _inst_3 _inst_4] {B : Type.{u1}} [_inst_6 : Semiring.{u1} B] [_inst_7 : Algebra.{u3, u1} R B _inst_3 _inst_6] {F : Type.{u2}} [_inst_8 : AlgHomClass.{u2, u3, u4, u1} F R A B _inst_3 _inst_4 _inst_6 _inst_5 _inst_7] (f : F) (x : A) (p : Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) p) (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u1} (AlgHom.{u3, u3, u1} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_6 (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3)) _inst_7) (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (fun (_x : Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) _x) (SMulHomClass.toFunLike.{max u1 u3, u3, u3, u1} (AlgHom.{u3, u3, u1} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_6 (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3)) _inst_7) R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) (SMulZeroClass.toSMul.{u3, u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (AddMonoid.toZero.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (AddCommMonoid.toAddMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u3, u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (AddMonoid.toAddZeroClass.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (AddCommMonoid.toAddMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u3, u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))) (AddCommMonoid.toAddMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)))))) (Module.toDistribMulAction.{u3, u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))))) (Algebra.toModule.{u3, u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3))))))) (SMulZeroClass.toSMul.{u3, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) (AddMonoid.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) (AddCommMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) _inst_6))))) (DistribSMul.toSMulZeroClass.{u3, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) (AddMonoid.toAddZeroClass.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) (AddCommMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) _inst_6))))) (DistribMulAction.toDistribSMul.{u3, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))) (AddCommMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) _inst_6)))) (Module.toDistribMulAction.{u3, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) _inst_6))) (Algebra.toModule.{u3, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) _inst_3 _inst_6 _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u3, u3, u3, u1} (AlgHom.{u3, u3, u1} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_6 (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3)) _inst_7) R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))) (AddCommMonoid.toAddMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)))))) (AddCommMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) _inst_6)))) (Module.toDistribMulAction.{u3, u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))))) (Algebra.toModule.{u3, u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3)))) (Module.toDistribMulAction.{u3, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) _inst_6))) (Algebra.toModule.{u3, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) _inst_3 _inst_6 _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u1 u3, u3, u3, u1} (AlgHom.{u3, u3, u1} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_6 (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3)) _inst_7) R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) _inst_6)) (Module.toDistribMulAction.{u3, u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))))) (Algebra.toModule.{u3, u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3)))) (Module.toDistribMulAction.{u3, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) (CommSemiring.toSemiring.{u3} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) _inst_6))) (Algebra.toModule.{u3, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) _inst_3 _inst_6 _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, u3, u1, max u1 u3} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_6 (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3)) _inst_7 (AlgHom.{u3, u3, u1} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_6 (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3)) _inst_7) (AlgHom.algHomClass.{u3, u3, u1} R (Polynomial.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) _inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_6 (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3)) _inst_7))))) (Polynomial.aeval.{u3, u1} R ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) x) _inst_3 _inst_6 _inst_7 (FunLike.coe.{succ u2, succ u4, succ u1} F A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) _x) (SMulHomClass.toFunLike.{u2, u3, u4, u1} F R A B (SMulZeroClass.toSMul.{u3, u4} R A (AddMonoid.toZero.{u4} A (AddCommMonoid.toAddMonoid.{u4} A 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(Algebra.toModule.{u3, u4} R A _inst_3 _inst_4 _inst_5))))) (SMulZeroClass.toSMul.{u3, u1} R B (AddMonoid.toZero.{u1} B (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6))))) (DistribSMul.toSMulZeroClass.{u3, u1} R B (AddMonoid.toAddZeroClass.{u1} B (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6))))) (DistribMulAction.toDistribSMul.{u3, u1} R B (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3))) (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_6)))) (Module.toDistribMulAction.{u3, u1} R B (CommSemiring.toSemiring.{u3} R _inst_3) 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_inst_3 (Polynomial.semiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_3)) _inst_4 (Polynomial.algebraOfAlgebra.{u3, u3} R R _inst_3 (CommSemiring.toSemiring.{u3} R _inst_3) (Algebra.id.{u3} R _inst_3)) _inst_5))))) (Polynomial.aeval.{u3, u4} R A _inst_3 _inst_4 _inst_5 x) p))
+Case conversion may be inaccurate. Consider using '#align polynomial.aeval_alg_hom_apply Polynomial.aeval_algHom_applyₓ'. -/
 theorem aeval_algHom_apply {F : Type _} [AlgHomClass F R A B] (f : F) (x : A) (p : R[X]) :
     aeval (f x) p = f (aeval x p) :=
   by
@@ -275,46 +391,88 @@ theorem aeval_algHom_apply {F : Type _} [AlgHomClass F R A B] (f : F) (x : A) (p
   rw [map_add, hp, hq, ← map_add, ← map_add]
 #align polynomial.aeval_alg_hom_apply Polynomial.aeval_algHom_apply
 
+/- warning: polynomial.aeval_alg_equiv -> Polynomial.aeval_algEquiv is a dubious translation:
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align polynomial.aeval_alg_equiv Polynomial.aeval_algEquivₓ'. -/
 theorem aeval_algEquiv (f : A ≃ₐ[R] B) (x : A) : aeval (f x) = (f : A →ₐ[R] B).comp (aeval x) :=
   aeval_algHom (f : A →ₐ[R] B) x
 #align polynomial.aeval_alg_equiv Polynomial.aeval_algEquiv
 
+#print Polynomial.aeval_algebraMap_apply_eq_algebraMap_eval /-
 theorem aeval_algebraMap_apply_eq_algebraMap_eval (x : R) (p : R[X]) :
     aeval (algebraMap R A x) p = algebraMap R A (p.eval x) :=
   aeval_algHom_apply (Algebra.ofId R A) x p
 #align polynomial.aeval_algebra_map_apply_eq_algebra_map_eval Polynomial.aeval_algebraMap_apply_eq_algebraMap_eval
+-/
 
+#print Polynomial.coe_aeval_eq_eval /-
 @[simp]
 theorem coe_aeval_eq_eval (r : R) : (aeval r : R[X] → R) = eval r :=
   rfl
 #align polynomial.coe_aeval_eq_eval Polynomial.coe_aeval_eq_eval
+-/
 
+/- warning: polynomial.coe_aeval_eq_eval_ring_hom -> Polynomial.coe_aeval_eq_evalRingHom is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align polynomial.coe_aeval_eq_eval_ring_hom Polynomial.coe_aeval_eq_evalRingHomₓ'. -/
 @[simp]
 theorem coe_aeval_eq_evalRingHom (x : R) :
     ((aeval x : R[X] →ₐ[R] R) : R[X] →+* R) = evalRingHom x :=
   rfl
 #align polynomial.coe_aeval_eq_eval_ring_hom Polynomial.coe_aeval_eq_evalRingHom
 
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(AddCommMonoid.toAddMonoid.{max u2 u1} (X -> R) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (X -> R) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, max u2 u1} R (X -> R) _inst_3 (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u2, u2, max u2 u1} (AlgHom.{u2, u2, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (AddCommMonoid.toAddMonoid.{max u2 u1} (X -> R) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, max u2 u1} R (X -> R) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, max u2 u1} R (X -> R) _inst_3 (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u2, u2, max u2 u1} (AlgHom.{u2, u2, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)))) (Module.toDistribMulAction.{u2, max u2 u1} R (X -> R) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (X -> R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (X -> R) (Semiring.toNonAssocSemiring.{max u2 u1} (X -> R) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3))))) (Algebra.toModule.{u2, max u2 u1} R (X -> R) _inst_3 (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, max u2 u1, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3)) (AlgHom.{u2, u2, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))) (AlgHom.algHomClass.{u2, u2, max u2 u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (X -> R) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.semiring.{u1, u2} X (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3))))))) (Polynomial.aeval.{u2, max u2 u1} R (X -> R) _inst_3 (Pi.semiring.{u1, u2} X (fun (ᾰ : X) => R) (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3)) (Pi.algebra.{u1, u2, u2} X R (fun (a._@.Mathlib.Data.Polynomial.AlgebraMap._hyg.4373 : X) => R) _inst_3 (fun (i : X) => CommSemiring.toSemiring.{u2} R _inst_3) (fun (i : X) => Algebra.id.{u2} R _inst_3)) f) g x) (FunLike.coe.{succ u2, succ u2, succ u2} (AlgHom.{u2, u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Algebra.id.{u2} R _inst_3)) (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (fun (_x : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => R) _x) (SMulHomClass.toFunLike.{u2, u2, u2, u2} (AlgHom.{u2, u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Algebra.id.{u2} R _inst_3)) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) R (SMulZeroClass.toSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) 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+Case conversion may be inaccurate. Consider using '#align polynomial.aeval_fn_apply Polynomial.aeval_fn_applyₓ'. -/
 @[simp]
 theorem aeval_fn_apply {X : Type _} (g : R[X]) (f : X → R) (x : X) :
     ((aeval f) g) x = aeval (f x) g :=
   (aeval_algHom_apply (Pi.evalAlgHom R (fun _ => R) x) f g).symm
 #align polynomial.aeval_fn_apply Polynomial.aeval_fn_apply
 
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+but is expected to have type
+  forall {R : Type.{u2}} [_inst_3 : CommSemiring.{u2} R] (g : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) {A : Type.{u1}} [_inst_8 : Semiring.{u1} A] [_inst_9 : Algebra.{u2, u1} R A _inst_3 _inst_8] (s : Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (f : Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9)) x s)), Eq.{succ u1} A (Subtype.val.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Set.{u1} A) (Set.instMembershipSet.{u1} A) x (SetLike.coe.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) s)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Subtype.{succ u1} A (fun (x 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_inst_9) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9)) x s)) _x) (SMulHomClass.toFunLike.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9)) x s)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Subalgebra.toSemiring.{u2, u1} R A _inst_3 _inst_8 _inst_9 s) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3)) (Subalgebra.instAlgebraSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiring.{u2, u1} R A _inst_3 _inst_8 _inst_9 s)) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9)) x s)) (SMulZeroClass.toSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) 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_inst_3)) _inst_3 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.algebraOfAlgebra.{u2, u2} R R _inst_3 (CommSemiring.toSemiring.{u2} R _inst_3) (Algebra.id.{u2} R _inst_3))))))) (SMulZeroClass.toSMul.{u2, u1} R (Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9)) x s)) (AddMonoid.toZero.{u1} (Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) A (Subalgebra.instSetLikeSubalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9)) x s)) (AddCommMonoid.toAddMonoid.{u1} (Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Subalgebra.{u2, u1} R A _inst_3 _inst_8 _inst_9) (SetLike.instMembership.{u1, u1} 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+Case conversion may be inaccurate. Consider using '#align polynomial.aeval_subalgebra_coe Polynomial.aeval_subalgebra_coeₓ'. -/
 @[norm_cast]
 theorem aeval_subalgebra_coe (g : R[X]) {A : Type _} [Semiring A] [Algebra R A] (s : Subalgebra R A)
     (f : s) : (aeval f g : A) = aeval (f : A) g :=
   (aeval_algHom_apply s.val f g).symm
 #align polynomial.aeval_subalgebra_coe Polynomial.aeval_subalgebra_coe
 
+#print Polynomial.coeff_zero_eq_aeval_zero /-
 theorem coeff_zero_eq_aeval_zero (p : R[X]) : p.coeff 0 = aeval 0 p := by
   simp [coeff_zero_eq_eval_zero]
 #align polynomial.coeff_zero_eq_aeval_zero Polynomial.coeff_zero_eq_aeval_zero
+-/
 
+/- warning: polynomial.coeff_zero_eq_aeval_zero' -> Polynomial.coeff_zero_eq_aeval_zero' is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align polynomial.coeff_zero_eq_aeval_zero' Polynomial.coeff_zero_eq_aeval_zero'ₓ'. -/
 theorem coeff_zero_eq_aeval_zero' (p : R[X]) : algebraMap R A (p.coeff 0) = aeval (0 : A) p := by
   simp [aeval_def]
 #align polynomial.coeff_zero_eq_aeval_zero' Polynomial.coeff_zero_eq_aeval_zero'
 
+/- warning: polynomial.map_aeval_eq_aeval_map -> Polynomial.map_aeval_eq_aeval_map is a dubious translation:
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+but is expected to have type
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(CommSemiring.toSemiring.{u2} T _inst_9)) (Semiring.toNonAssocSemiring.{u1} U _inst_10) (algebraMap.{u2, u1} T U _inst_9 _inst_10 _inst_12) φ) (RingHom.comp.{u4, u3, u1} R S U (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10) ψ (algebraMap.{u4, u3} R S _inst_3 (CommSemiring.toSemiring.{u3} S _inst_8) _inst_11))) -> (forall (p : Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (a : S), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => U) (FunLike.coe.{max (succ u3) (succ u4), succ u4, succ u3} (AlgHom.{u4, u4, u3} R (Polynomial.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) S _inst_3 (Polynomial.semiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_3)) (CommSemiring.toSemiring.{u3} S _inst_8) (Polynomial.algebraOfAlgebra.{u4, u4} R R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_3) (Algebra.id.{u4} R 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(RingHom.{u3, u1} S U (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10)) S (fun (_x : S) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => U) _x) (MulHomClass.toFunLike.{max u3 u1, u3, u1} (RingHom.{u3, u1} S U (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10)) S U (NonUnitalNonAssocSemiring.toMul.{u3} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)))) (NonUnitalNonAssocSemiring.toMul.{u1} U (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} U (Semiring.toNonAssocSemiring.{u1} U _inst_10))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} S U (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10)) S U (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} U (Semiring.toNonAssocSemiring.{u1} U _inst_10)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} S U (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10)) S U (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10) (RingHom.instRingHomClassRingHom.{u3, u1} S U (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8)) (Semiring.toNonAssocSemiring.{u1} U _inst_10))))) ψ a)) (Polynomial.map.{u4, u2} R T (CommSemiring.toSemiring.{u4} R _inst_3) (CommSemiring.toSemiring.{u2} T _inst_9) φ p)))
+Case conversion may be inaccurate. Consider using '#align polynomial.map_aeval_eq_aeval_map Polynomial.map_aeval_eq_aeval_mapₓ'. -/
 theorem map_aeval_eq_aeval_map {S T U : Type _} [CommSemiring S] [CommSemiring T] [Semiring U]
     [Algebra R S] [Algebra T U] {φ : R →+* T} {ψ : S →+* U}
     (h : (algebraMap T U).comp φ = ψ.comp (algebraMap R S)) (p : R[X]) (a : S) :
@@ -324,19 +482,23 @@ theorem map_aeval_eq_aeval_map {S T U : Type _} [CommSemiring S] [CommSemiring T
   rw [map_map, h, ← map_map, eval_map, eval₂_at_apply, aeval_def, eval_map]
 #align polynomial.map_aeval_eq_aeval_map Polynomial.map_aeval_eq_aeval_map
 
+#print Polynomial.aeval_eq_zero_of_dvd_aeval_eq_zero /-
 theorem aeval_eq_zero_of_dvd_aeval_eq_zero [CommSemiring S] [CommSemiring T] [Algebra S T]
     {p q : S[X]} (h₁ : p ∣ q) {a : T} (h₂ : aeval a p = 0) : aeval a q = 0 :=
   by
   rw [aeval_def, ← eval_map] at h₂⊢
   exact eval_eq_zero_of_dvd_of_eval_eq_zero (Polynomial.map_dvd (algebraMap S T) h₁) h₂
 #align polynomial.aeval_eq_zero_of_dvd_aeval_eq_zero Polynomial.aeval_eq_zero_of_dvd_aeval_eq_zero
+-/
 
 variable (R)
 
+#print Algebra.adjoin_singleton_eq_range_aeval /-
 theorem Algebra.adjoin_singleton_eq_range_aeval (x : A) :
     Algebra.adjoin R {x} = (Polynomial.aeval x).range := by
   rw [← Algebra.map_top, ← adjoin_X, AlgHom.map_adjoin, Set.image_singleton, aeval_X]
 #align algebra.adjoin_singleton_eq_range_aeval Algebra.adjoin_singleton_eq_range_aeval
+-/
 
 variable {R}
 
@@ -344,20 +506,30 @@ section Semiring
 
 variable [Semiring S] {f : R →+* S}
 
+#print Polynomial.aeval_eq_sum_range /-
 theorem aeval_eq_sum_range [Algebra R S] {p : R[X]} (x : S) :
     aeval x p = ∑ i in Finset.range (p.natDegree + 1), p.coeff i • x ^ i :=
   by
   simp_rw [Algebra.smul_def]
   exact eval₂_eq_sum_range (algebraMap R S) x
 #align polynomial.aeval_eq_sum_range Polynomial.aeval_eq_sum_range
+-/
 
+#print Polynomial.aeval_eq_sum_range' /-
 theorem aeval_eq_sum_range' [Algebra R S] {p : R[X]} {n : ℕ} (hn : p.natDegree < n) (x : S) :
     aeval x p = ∑ i in Finset.range n, p.coeff i • x ^ i :=
   by
   simp_rw [Algebra.smul_def]
   exact eval₂_eq_sum_range' (algebraMap R S) hn x
 #align polynomial.aeval_eq_sum_range' Polynomial.aeval_eq_sum_range'
+-/
 
+/- warning: polynomial.is_root_of_eval₂_map_eq_zero -> Polynomial.isRoot_of_eval₂_map_eq_zero is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align polynomial.is_root_of_eval₂_map_eq_zero Polynomial.isRoot_of_eval₂_map_eq_zeroₓ'. -/
 theorem isRoot_of_eval₂_map_eq_zero (hf : Function.Injective f) {r : R} :
     eval₂ f (f r) p = 0 → p.IsRoot r := by
   intro h
@@ -365,6 +537,12 @@ theorem isRoot_of_eval₂_map_eq_zero (hf : Function.Injective f) {r : R} :
   rw [← eval₂_hom, h, f.map_zero]
 #align polynomial.is_root_of_eval₂_map_eq_zero Polynomial.isRoot_of_eval₂_map_eq_zero
 
+/- warning: polynomial.is_root_of_aeval_algebra_map_eq_zero -> Polynomial.isRoot_of_aeval_algebraMap_eq_zero is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align polynomial.is_root_of_aeval_algebra_map_eq_zero Polynomial.isRoot_of_aeval_algebraMap_eq_zeroₓ'. -/
 theorem isRoot_of_aeval_algebraMap_eq_zero [Algebra R S] {p : R[X]}
     (inj : Function.Injective (algebraMap R S)) {r : R} (hr : aeval (algebraMap R S r) p = 0) :
     p.IsRoot r :=
@@ -379,55 +557,107 @@ section AevalTower
 
 variable [CommSemiring S] [Algebra S R] [Algebra S A'] [Algebra S B']
 
+#print Polynomial.aevalTower /-
 /-- Version of `aeval` for defining algebra homs out of `R[X]` over a smaller base ring
   than `R`. -/
 def aevalTower (f : R →ₐ[S] A') (x : A') : R[X] →ₐ[S] A' :=
   { eval₂RingHom (↑f) x with commutes' := fun r => by simp [algebra_map_apply] }
 #align polynomial.aeval_tower Polynomial.aevalTower
+-/
 
 variable (g : R →ₐ[S] A') (y : A')
 
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align polynomial.aeval_tower_X Polynomial.aevalTower_Xₓ'. -/
 @[simp]
-theorem aevalTower_x : aevalTower g y X = y :=
+theorem aevalTower_X : aevalTower g y X = y :=
   eval₂_X _ _
-#align polynomial.aeval_tower_X Polynomial.aevalTower_x
-
+#align polynomial.aeval_tower_X Polynomial.aevalTower_X
+
+/- warning: polynomial.aeval_tower_C -> Polynomial.aevalTower_C is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {R : Type.{u2}} {S : Type.{u3}} {A' : Type.{u1}} [_inst_1 : CommSemiring.{u1} A'] [_inst_3 : CommSemiring.{u2} R] [_inst_8 : CommSemiring.{u3} S] [_inst_9 : Algebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3)] [_inst_10 : Algebra.{u3, u1} S A' _inst_8 (CommSemiring.toSemiring.{u1} A' _inst_1)] (g : AlgHom.{u3, u2, u1} S R A' _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u1} A' _inst_1) _inst_9 _inst_10) (y : A') (x : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A') (FunLike.coe.{succ u2, succ u2, succ u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) a) (MulHomClass.toFunLike.{u2, u2, u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{u2, u2, u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{u2, u2, u2} (RingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (RingHom.instRingHomClassRingHom.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (Polynomial.C.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) x)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AlgHom.{u3, u2, u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10) (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (fun (_x : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) => A') _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u2, u1} (AlgHom.{u3, u2, u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' 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(CommSemiring.toSemiring.{u2} R _inst_3) _inst_9)))))) (SMulZeroClass.toSMul.{u3, u1} S A' (AddMonoid.toZero.{u1} A' (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))))) (DistribSMul.toSMulZeroClass.{u3, u1} S A' (AddMonoid.toAddZeroClass.{u1} A' (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' (CommSemiring.toSemiring.{u1} A' _inst_1)))))) (DistribMulAction.toDistribSMul.{u3, u1} S A' (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_8))) (AddCommMonoid.toAddMonoid.{u1} A' (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A' (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A' (Semiring.toNonAssocSemiring.{u1} A' 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_inst_1) _inst_10)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, u2, u1, max u2 u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10 (AlgHom.{u3, u2, u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' _inst_8 (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u1} A' _inst_1) (Polynomial.algebraOfAlgebra.{u3, u2} S R _inst_8 (CommSemiring.toSemiring.{u2} R _inst_3) _inst_9) _inst_10) (AlgHom.algHomClass.{u3, u2, u1} S (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) A' 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+Case conversion may be inaccurate. Consider using '#align polynomial.aeval_tower_C Polynomial.aevalTower_Cₓ'. -/
 @[simp]
-theorem aevalTower_c (x : R) : aevalTower g y (C x) = g x :=
+theorem aevalTower_C (x : R) : aevalTower g y (C x) = g x :=
   eval₂_C _ _
-#align polynomial.aeval_tower_C Polynomial.aevalTower_c
-
+#align polynomial.aeval_tower_C Polynomial.aevalTower_C
+
+/- warning: polynomial.aeval_tower_comp_C -> Polynomial.aevalTower_comp_C is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align polynomial.aeval_tower_comp_C Polynomial.aevalTower_comp_Cₓ'. -/
 @[simp]
-theorem aevalTower_comp_c : (aevalTower g y : R[X] →+* A').comp C = g :=
-  RingHom.ext <| aevalTower_c _ _
-#align polynomial.aeval_tower_comp_C Polynomial.aevalTower_comp_c
-
+theorem aevalTower_comp_C : (aevalTower g y : R[X] →+* A').comp C = g :=
+  RingHom.ext <| aevalTower_C _ _
+#align polynomial.aeval_tower_comp_C Polynomial.aevalTower_comp_C
+
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+Case conversion may be inaccurate. Consider using '#align polynomial.aeval_tower_algebra_map Polynomial.aevalTower_algebraMapₓ'. -/
 @[simp]
 theorem aevalTower_algebraMap (x : R) : aevalTower g y (algebraMap R R[X] x) = g x :=
   eval₂_C _ _
 #align polynomial.aeval_tower_algebra_map Polynomial.aevalTower_algebraMap
 
+/- warning: polynomial.aeval_tower_comp_algebra_map -> Polynomial.aevalTower_comp_algebraMap is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align polynomial.aeval_tower_comp_algebra_map Polynomial.aevalTower_comp_algebraMapₓ'. -/
 @[simp]
 theorem aevalTower_comp_algebraMap : (aevalTower g y : R[X] →+* A').comp (algebraMap R R[X]) = g :=
-  aevalTower_comp_c _ _
+  aevalTower_comp_C _ _
 #align polynomial.aeval_tower_comp_algebra_map Polynomial.aevalTower_comp_algebraMap
 
+/- warning: polynomial.aeval_tower_to_alg_hom -> Polynomial.aevalTower_toAlgHom is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align polynomial.aeval_tower_to_alg_hom Polynomial.aevalTower_toAlgHomₓ'. -/
 theorem aevalTower_toAlgHom (x : R) : aevalTower g y (IsScalarTower.toAlgHom S R R[X] x) = g x :=
   aevalTower_algebraMap _ _ _
 #align polynomial.aeval_tower_to_alg_hom Polynomial.aevalTower_toAlgHom
 
+/- warning: polynomial.aeval_tower_comp_to_alg_hom -> Polynomial.aevalTower_comp_toAlgHom is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align polynomial.aeval_tower_comp_to_alg_hom Polynomial.aevalTower_comp_toAlgHomₓ'. -/
 @[simp]
 theorem aevalTower_comp_toAlgHom : (aevalTower g y).comp (IsScalarTower.toAlgHom S R R[X]) = g :=
   AlgHom.coe_ringHom_injective <| aevalTower_comp_algebraMap _ _
 #align polynomial.aeval_tower_comp_to_alg_hom Polynomial.aevalTower_comp_toAlgHom
 
+#print Polynomial.aevalTower_id /-
 @[simp]
 theorem aevalTower_id : aevalTower (AlgHom.id S S) = aeval :=
   by
   ext
   simp only [eval_X, aeval_tower_X, coe_aeval_eq_eval]
 #align polynomial.aeval_tower_id Polynomial.aevalTower_id
+-/
 
+/- warning: polynomial.aeval_tower_of_id -> Polynomial.aevalTower_ofId is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align polynomial.aeval_tower_of_id Polynomial.aevalTower_ofIdₓ'. -/
 @[simp]
 theorem aevalTower_ofId : aevalTower (Algebra.ofId S A') = aeval :=
   by
@@ -443,6 +673,12 @@ section CommRing
 
 variable [CommRing S] {f : R →+* S}
 
+/- warning: polynomial.dvd_term_of_dvd_eval_of_dvd_terms -> Polynomial.dvd_term_of_dvd_eval_of_dvd_terms is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align polynomial.dvd_term_of_dvd_eval_of_dvd_terms Polynomial.dvd_term_of_dvd_eval_of_dvd_termsₓ'. -/
 /- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (j «expr ≠ » i) -/
 theorem dvd_term_of_dvd_eval_of_dvd_terms {z p : S} {f : S[X]} (i : ℕ) (dvd_eval : p ∣ f.eval z)
     (dvd_terms : ∀ (j) (_ : j ≠ i), p ∣ f.coeff j * z ^ j) : p ∣ f.coeff i * z ^ i :=
@@ -459,6 +695,12 @@ theorem dvd_term_of_dvd_eval_of_dvd_terms {z p : S} {f : S[X]} (i : ℕ) (dvd_ev
     simp [hi]
 #align polynomial.dvd_term_of_dvd_eval_of_dvd_terms Polynomial.dvd_term_of_dvd_eval_of_dvd_terms
 
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+Case conversion may be inaccurate. Consider using '#align polynomial.dvd_term_of_is_root_of_dvd_terms Polynomial.dvd_term_of_isRoot_of_dvd_termsₓ'. -/
 /- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (j «expr ≠ » i) -/
 theorem dvd_term_of_isRoot_of_dvd_terms {r p : S} {f : S[X]} (i : ℕ) (hr : f.IsRoot r)
     (h : ∀ (j) (_ : j ≠ i), p ∣ f.coeff j * r ^ j) : p ∣ f.coeff i * r ^ i :=
@@ -473,13 +715,19 @@ section Ring
 
 variable [Ring R]
 
+/- warning: polynomial.eval_mul_X_sub_C -> Polynomial.eval_mul_X_sub_C is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align polynomial.eval_mul_X_sub_C Polynomial.eval_mul_X_sub_Cₓ'. -/
 /-- The evaluation map is not generally multiplicative when the coefficient ring is noncommutative,
 but nevertheless any polynomial of the form `p * (X - monomial 0 r)` is sent to zero
 when evaluated at `r`.
 
 This is the key step in our proof of the Cayley-Hamilton theorem.
 -/
-theorem eval_mul_x_sub_c {p : R[X]} (r : R) : (p * (X - C r)).eval r = 0 :=
+theorem eval_mul_X_sub_C {p : R[X]} (r : R) : (p * (X - C r)).eval r = 0 :=
   by
   simp only [eval, eval₂, RingHom.id_apply]
   have bound :=
@@ -498,14 +746,26 @@ theorem eval_mul_x_sub_c {p : R[X]} (r : R) : (p * (X - C r)).eval r = 0 :=
     skip
     rw [coeff_mul_X_sub_C, sub_mul, mul_assoc, ← pow_succ]
   simp [sum_range_sub', coeff_monomial]
-#align polynomial.eval_mul_X_sub_C Polynomial.eval_mul_x_sub_c
-
-theorem not_isUnit_x_sub_c [Nontrivial R] (r : R) : ¬IsUnit (X - C r) :=
+#align polynomial.eval_mul_X_sub_C Polynomial.eval_mul_X_sub_C
+
+/- warning: polynomial.not_is_unit_X_sub_C -> Polynomial.not_isUnit_X_sub_C is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align polynomial.not_is_unit_X_sub_C Polynomial.not_isUnit_X_sub_Cₓ'. -/
+theorem not_isUnit_X_sub_C [Nontrivial R] (r : R) : ¬IsUnit (X - C r) :=
   fun ⟨⟨_, g, hfg, hgf⟩, rfl⟩ => zero_ne_one' R <| by erw [← eval_mul_X_sub_C, hgf, eval_one]
-#align polynomial.not_is_unit_X_sub_C Polynomial.not_isUnit_x_sub_c
+#align polynomial.not_is_unit_X_sub_C Polynomial.not_isUnit_X_sub_C
 
 end Ring
 
+/- warning: polynomial.aeval_endomorphism -> Polynomial.aeval_endomorphism is a dubious translation:
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+but is expected to have type
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(AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (SMulZeroClass.toSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (AddMonoid.toZero.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribSMul.toSMulZeroClass.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (AddMonoid.toAddZeroClass.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribMulAction.toDistribSMul.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SMulZeroClass.toSMul.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (AddMonoid.toZero.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))))) (DistribSMul.toSMulZeroClass.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))))) (DistribMulAction.toDistribSMul.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5))))) (Module.toDistribMulAction.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))) (Algebra.toModule.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Module.End.semiring.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)) R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R 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(AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5))))) (Module.toDistribMulAction.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Algebra.toModule.{u2, u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) 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_inst_5) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u1 u2, u2, u2, u1} (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M 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_inst_5) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Semiring.toNonAssocSemiring.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.semiring.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))) (Algebra.toModule.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Module.End.semiring.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u2, u1, max u1 u2} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (AlgHom.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)) (AlgHom.algHomClass.{u2, u2, u1} R (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Polynomial.semiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.End.semiring.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Polynomial.algebraOfAlgebra.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5)))))) (Polynomial.aeval.{u2, u1} R (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (CommRing.toCommSemiring.{u2} R _inst_3) (Module.End.semiring.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) (Module.instAlgebraEndToSemiringSemiring.{u2, u1} R M (CommRing.toCommSemiring.{u2} R _inst_3) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5) f) p) v) (Polynomial.sum.{u2, u1} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (AddCommGroup.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) _inst_4) p (fun (n : Nat) (b : R) => HSMul.hSMul.{u2, u1, u1} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (instHSMul.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (SMulZeroClass.toSMul.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (NegZeroClass.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (SubNegZeroMonoid.toNegZeroClass.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (SubtractionMonoid.toSubNegZeroMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (SubtractionCommMonoid.toSubtractionMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (AddCommGroup.toDivisionAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (NegZeroClass.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (SubNegZeroMonoid.toNegZeroClass.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (SubtractionMonoid.toSubNegZeroMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (SubtractionCommMonoid.toSubtractionMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (AddCommGroup.toDivisionAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))) (NegZeroClass.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (SubNegZeroMonoid.toNegZeroClass.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (SubtractionMonoid.toSubNegZeroMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (SubtractionCommMonoid.toSubtractionMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (AddCommGroup.toDivisionAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) _inst_4))))) (Module.toMulActionWithZero.{u2, u1} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) v) _inst_4) _inst_5))))) b (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R R M M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (HPow.hPow.{u1, 0, u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) Nat (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (instHPow.{u1, 0} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) Nat (Monoid.Pow.{u1} (LinearMap.{u2, u2, u1, u1} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5 _inst_5) (Module.End.monoid.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_4) _inst_5))) f n) v)))
+Case conversion may be inaccurate. Consider using '#align polynomial.aeval_endomorphism Polynomial.aeval_endomorphismₓ'. -/
 theorem aeval_endomorphism {M : Type _} [CommRing R] [AddCommGroup M] [Module R M] (f : M →ₗ[R] M)
     (v : M) (p : R[X]) : aeval f p v = p.Sum fun n b => b • (f ^ n) v :=
   by

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

@@ -169,7 +169,7 @@ the unique `R`-algebra homomorphism from `R[X]` to `A` sending `X` to `x`.
 This is a stronger variant of the linear map `polynomial.leval`. -/
 def aeval : R[X] →ₐ[R] A :=
   { eval₂RingHom' (algebraMap R A) x fun a => Algebra.commutes _ _ with
-    commutes' := fun r => eval₂_c _ _ }
+    commutes' := fun r => eval₂_C _ _ }
 #align polynomial.aeval Polynomial.aeval
 
 variable {R A}
@@ -199,12 +199,12 @@ theorem aeval_zero : aeval x (0 : R[X]) = 0 :=
 
 @[simp]
 theorem aeval_x : aeval x (X : R[X]) = x :=
-  eval₂_x _ x
+  eval₂_X _ x
 #align polynomial.aeval_X Polynomial.aeval_x
 
 @[simp]
 theorem aeval_c (r : R) : aeval x (C r) = algebraMap R A r :=
-  eval₂_c _ x
+  eval₂_C _ x
 #align polynomial.aeval_C Polynomial.aeval_c
 
 @[simp]
@@ -214,7 +214,7 @@ theorem aeval_monomial {n : ℕ} {r : R} : aeval x (monomial n r) = algebraMap _
 
 @[simp]
 theorem aeval_x_pow {n : ℕ} : aeval x ((X : R[X]) ^ n) = x ^ n :=
-  eval₂_x_pow _ _
+  eval₂_X_pow _ _
 #align polynomial.aeval_X_pow Polynomial.aeval_x_pow
 
 @[simp]
@@ -389,12 +389,12 @@ variable (g : R →ₐ[S] A') (y : A')
 
 @[simp]
 theorem aevalTower_x : aevalTower g y X = y :=
-  eval₂_x _ _
+  eval₂_X _ _
 #align polynomial.aeval_tower_X Polynomial.aevalTower_x
 
 @[simp]
 theorem aevalTower_c (x : R) : aevalTower g y (C x) = g x :=
-  eval₂_c _ _
+  eval₂_C _ _
 #align polynomial.aeval_tower_C Polynomial.aevalTower_c
 
 @[simp]
@@ -404,7 +404,7 @@ theorem aevalTower_comp_c : (aevalTower g y : R[X] →+* A').comp C = g :=
 
 @[simp]
 theorem aevalTower_algebraMap (x : R) : aevalTower g y (algebraMap R R[X] x) = g x :=
-  eval₂_c _ _
+  eval₂_C _ _
 #align polynomial.aeval_tower_algebra_map Polynomial.aevalTower_algebraMap
 
 @[simp]

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

@@ -55,31 +55,31 @@ instance algebraOfAlgebra : Algebra R A[X]
       dsimp only [RingHom.toFun_eq_coe, RingHom.comp_apply]
       simp_rw [to_finsupp_mul, to_finsupp_C]
       convert Algebra.commutes' r p.to_finsupp
-  toRingHom := c.comp (algebraMap R A)
+  toRingHom := C.comp (algebraMap R A)
 #align polynomial.algebra_of_algebra Polynomial.algebraOfAlgebra
 
-theorem algebraMap_apply (r : R) : algebraMap R A[X] r = c (algebraMap R A r) :=
+theorem algebraMap_apply (r : R) : algebraMap R A[X] r = C (algebraMap R A r) :=
   rfl
 #align polynomial.algebra_map_apply Polynomial.algebraMap_apply
 
 @[simp]
 theorem toFinsupp_algebraMap (r : R) : (algebraMap R A[X] r).toFinsupp = algebraMap R _ r :=
-  show toFinsupp (c (algebraMap _ _ r)) = _
+  show toFinsupp (C (algebraMap _ _ r)) = _
     by
     rw [to_finsupp_C]
     rfl
 #align polynomial.to_finsupp_algebra_map Polynomial.toFinsupp_algebraMap
 
-theorem of_finsupp_algebraMap (r : R) : (⟨algebraMap R _ r⟩ : A[X]) = algebraMap R A[X] r :=
+theorem ofFinsupp_algebraMap (r : R) : (⟨algebraMap R _ r⟩ : A[X]) = algebraMap R A[X] r :=
   toFinsupp_injective (toFinsupp_algebraMap _).symm
-#align polynomial.of_finsupp_algebra_map Polynomial.of_finsupp_algebraMap
+#align polynomial.of_finsupp_algebra_map Polynomial.ofFinsupp_algebraMap
 
 /-- When we have `[comm_semiring R]`, the function `C` is the same as `algebra_map R R[X]`.
 
 (But note that `C` is defined when `R` is not necessarily commutative, in which case
 `algebra_map` is not available.)
 -/
-theorem c_eq_algebraMap (r : R) : c r = algebraMap R R[X] r :=
+theorem c_eq_algebraMap (r : R) : C r = algebraMap R R[X] r :=
   rfl
 #align polynomial.C_eq_algebra_map Polynomial.c_eq_algebraMap
 
@@ -90,7 +90,7 @@ variable {R}
 @[ext]
 theorem algHom_ext' [Algebra R A'] [Algebra R B'] {f g : A'[X] →ₐ[R] B'}
     (h₁ : f.comp (IsScalarTower.toAlgHom R A' A'[X]) = g.comp (IsScalarTower.toAlgHom R A' A'[X]))
-    (h₂ : f x = g x) : f = g :=
+    (h₂ : f X = g X) : f = g :=
   AlgHom.coe_ringHom_injective (Polynomial.ringHom_ext' (congr_arg AlgHom.toRingHom h₁) h₂)
 #align polynomial.alg_hom_ext' Polynomial.algHom_ext'
 
@@ -130,9 +130,9 @@ theorem algHom_eval₂_algebraMap {R A B : Type _} [CommSemiring R] [Semiring A]
 
 @[simp]
 theorem eval₂_algebraMap_x {R A : Type _} [CommSemiring R] [Semiring A] [Algebra R A] (p : R[X])
-    (f : R[X] →ₐ[R] A) : eval₂ (algebraMap R A) (f x) p = f p :=
+    (f : R[X] →ₐ[R] A) : eval₂ (algebraMap R A) (f X) p = f p :=
   by
-  conv_rhs => rw [← Polynomial.sum_c_mul_x_pow_eq p]
+  conv_rhs => rw [← Polynomial.sum_C_mul_X_pow_eq p]
   dsimp [eval₂, Sum]
   simp only [f.map_sum, f.map_mul, f.map_pow, eq_intCast, map_intCast]
   simp [Polynomial.c_eq_algebraMap]
@@ -147,7 +147,7 @@ theorem ringHom_eval₂_cast_int_ringHom {R S : Type _} [Ring R] [Ring S] (p : 
 
 @[simp]
 theorem eval₂_int_castRingHom_x {R : Type _} [Ring R] (p : ℤ[X]) (f : ℤ[X] →+* R) :
-    eval₂ (Int.castRingHom R) (f x) p = f p :=
+    eval₂ (Int.castRingHom R) (f X) p = f p :=
   eval₂_algebraMap_x p f.toIntAlgHom
 #align polynomial.eval₂_int_cast_ring_hom_X Polynomial.eval₂_int_castRingHom_x
 
@@ -175,7 +175,7 @@ def aeval : R[X] →ₐ[R] A :=
 variable {R A}
 
 @[simp]
-theorem adjoin_x : Algebra.adjoin R ({x} : Set R[X]) = ⊤ :=
+theorem adjoin_x : Algebra.adjoin R ({X} : Set R[X]) = ⊤ :=
   by
   refine' top_unique fun p hp => _
   set S := Algebra.adjoin R ({X} : Set R[X])
@@ -184,7 +184,7 @@ theorem adjoin_x : Algebra.adjoin R ({x} : Set R[X]) = ⊤ :=
 #align polynomial.adjoin_X Polynomial.adjoin_x
 
 @[ext]
-theorem algHom_ext {f g : R[X] →ₐ[R] A} (h : f x = g x) : f = g :=
+theorem algHom_ext {f g : R[X] →ₐ[R] A} (h : f X = g X) : f = g :=
   AlgHom.ext_of_adjoin_eq_top adjoin_x fun p hp => (Set.mem_singleton_iff.1 hp).symm ▸ h
 #align polynomial.alg_hom_ext Polynomial.algHom_ext
 
@@ -198,12 +198,12 @@ theorem aeval_zero : aeval x (0 : R[X]) = 0 :=
 #align polynomial.aeval_zero Polynomial.aeval_zero
 
 @[simp]
-theorem aeval_x : aeval x (x : R[X]) = x :=
+theorem aeval_x : aeval x (X : R[X]) = x :=
   eval₂_x _ x
 #align polynomial.aeval_X Polynomial.aeval_x
 
 @[simp]
-theorem aeval_c (r : R) : aeval x (c r) = algebraMap R A r :=
+theorem aeval_c (r : R) : aeval x (C r) = algebraMap R A r :=
   eval₂_c _ x
 #align polynomial.aeval_C Polynomial.aeval_c
 
@@ -213,7 +213,7 @@ theorem aeval_monomial {n : ℕ} {r : R} : aeval x (monomial n r) = algebraMap _
 #align polynomial.aeval_monomial Polynomial.aeval_monomial
 
 @[simp]
-theorem aeval_x_pow {n : ℕ} : aeval x ((x : R[X]) ^ n) = x ^ n :=
+theorem aeval_x_pow {n : ℕ} : aeval x ((X : R[X]) ^ n) = x ^ n :=
   eval₂_x_pow _ _
 #align polynomial.aeval_X_pow Polynomial.aeval_x_pow
 
@@ -256,15 +256,15 @@ theorem aeval_algHom (f : A →ₐ[R] B) (x : A) : aeval (f x) = f.comp (aeval x
 #align polynomial.aeval_alg_hom Polynomial.aeval_algHom
 
 @[simp]
-theorem aeval_x_left : aeval (x : R[X]) = AlgHom.id R R[X] :=
-  algHom_ext <| aeval_x x
+theorem aeval_x_left : aeval (X : R[X]) = AlgHom.id R R[X] :=
+  algHom_ext <| aeval_x X
 #align polynomial.aeval_X_left Polynomial.aeval_x_left
 
-theorem aeval_x_left_apply (p : R[X]) : aeval x p = p :=
+theorem aeval_x_left_apply (p : R[X]) : aeval X p = p :=
   AlgHom.congr_fun (@aeval_x_left R _) p
 #align polynomial.aeval_X_left_apply Polynomial.aeval_x_left_apply
 
-theorem eval_unique (φ : R[X] →ₐ[R] A) (p) : φ p = eval₂ (algebraMap R A) (φ x) p := by
+theorem eval_unique (φ : R[X] →ₐ[R] A) (p) : φ p = eval₂ (algebraMap R A) (φ X) p := by
   rw [← aeval_def, aeval_alg_hom, aeval_X_left, AlgHom.comp_id]
 #align polynomial.eval_unique Polynomial.eval_unique
 
@@ -388,17 +388,17 @@ def aevalTower (f : R →ₐ[S] A') (x : A') : R[X] →ₐ[S] A' :=
 variable (g : R →ₐ[S] A') (y : A')
 
 @[simp]
-theorem aevalTower_x : aevalTower g y x = y :=
+theorem aevalTower_x : aevalTower g y X = y :=
   eval₂_x _ _
 #align polynomial.aeval_tower_X Polynomial.aevalTower_x
 
 @[simp]
-theorem aevalTower_c (x : R) : aevalTower g y (c x) = g x :=
+theorem aevalTower_c (x : R) : aevalTower g y (C x) = g x :=
   eval₂_c _ _
 #align polynomial.aeval_tower_C Polynomial.aevalTower_c
 
 @[simp]
-theorem aevalTower_comp_c : (aevalTower g y : R[X] →+* A').comp c = g :=
+theorem aevalTower_comp_c : (aevalTower g y : R[X] →+* A').comp C = g :=
   RingHom.ext <| aevalTower_c _ _
 #align polynomial.aeval_tower_comp_C Polynomial.aevalTower_comp_c
 
@@ -479,7 +479,7 @@ when evaluated at `r`.
 
 This is the key step in our proof of the Cayley-Hamilton theorem.
 -/
-theorem eval_mul_x_sub_c {p : R[X]} (r : R) : (p * (x - c r)).eval r = 0 :=
+theorem eval_mul_x_sub_c {p : R[X]} (r : R) : (p * (X - C r)).eval r = 0 :=
   by
   simp only [eval, eval₂, RingHom.id_apply]
   have bound :=
@@ -500,7 +500,7 @@ theorem eval_mul_x_sub_c {p : R[X]} (r : R) : (p * (x - c r)).eval r = 0 :=
   simp [sum_range_sub', coeff_monomial]
 #align polynomial.eval_mul_X_sub_C Polynomial.eval_mul_x_sub_c
 
-theorem not_isUnit_x_sub_c [Nontrivial R] (r : R) : ¬IsUnit (x - c r) :=
+theorem not_isUnit_x_sub_c [Nontrivial R] (r : R) : ¬IsUnit (X - C r) :=
   fun ⟨⟨_, g, hfg, hgf⟩, rfl⟩ => zero_ne_one' R <| by erw [← eval_mul_X_sub_C, hgf, eval_one]
 #align polynomial.not_is_unit_X_sub_C Polynomial.not_isUnit_x_sub_c
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/4c586d291f189eecb9d00581aeb3dd998ac34442

@@ -443,7 +443,7 @@ section CommRing
 
 variable [CommRing S] {f : R →+* S}
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:628:2: warning: expanding binder collection (j «expr ≠ » i) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (j «expr ≠ » i) -/
 theorem dvd_term_of_dvd_eval_of_dvd_terms {z p : S} {f : S[X]} (i : ℕ) (dvd_eval : p ∣ f.eval z)
     (dvd_terms : ∀ (j) (_ : j ≠ i), p ∣ f.coeff j * z ^ j) : p ∣ f.coeff i * z ^ i :=
   by
@@ -459,7 +459,7 @@ theorem dvd_term_of_dvd_eval_of_dvd_terms {z p : S} {f : S[X]} (i : ℕ) (dvd_ev
     simp [hi]
 #align polynomial.dvd_term_of_dvd_eval_of_dvd_terms Polynomial.dvd_term_of_dvd_eval_of_dvd_terms
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:628:2: warning: expanding binder collection (j «expr ≠ » i) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (j «expr ≠ » i) -/
 theorem dvd_term_of_isRoot_of_dvd_terms {r p : S} {f : S[X]} (i : ℕ) (hr : f.IsRoot r)
     (h : ∀ (j) (_ : j ≠ i), p ∣ f.coeff j * r ^ j) : p ∣ f.coeff i * r ^ i :=
   dvd_term_of_dvd_eval_of_dvd_terms i (Eq.symm hr ▸ dvd_zero p) h
@@ -485,7 +485,7 @@ theorem eval_mul_x_sub_c {p : R[X]} (r : R) : (p * (x - c r)).eval r = 0 :=
   have bound :=
     calc
       (p * (X - C r)).natDegree ≤ p.nat_degree + (X - C r).natDegree := nat_degree_mul_le
-      _ ≤ p.nat_degree + 1 := add_le_add_left (nat_degree_X_sub_C_le _) _
+      _ ≤ p.nat_degree + 1 := (add_le_add_left (nat_degree_X_sub_C_le _) _)
       _ < p.nat_degree + 2 := lt_add_one _
       
   rw [sum_over_range' _ _ (p.nat_degree + 2) bound]

mathlib commit https://github.com/leanprover-community/mathlib/commit/eb0cb4511aaef0da2462207b67358a0e1fe1e2ee

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
 
 ! This file was ported from Lean 3 source module data.polynomial.algebra_map
-! leanprover-community/mathlib commit cbdf7b565832144d024caa5a550117c6df0204a5
+! leanprover-community/mathlib commit e064a7bf82ad94c3c17b5128bbd860d1ec34874e
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -289,6 +289,12 @@ theorem coe_aeval_eq_eval (r : R) : (aeval r : R[X] → R) = eval r :=
   rfl
 #align polynomial.coe_aeval_eq_eval Polynomial.coe_aeval_eq_eval
 
+@[simp]
+theorem coe_aeval_eq_evalRingHom (x : R) :
+    ((aeval x : R[X] →ₐ[R] R) : R[X] →+* R) = evalRingHom x :=
+  rfl
+#align polynomial.coe_aeval_eq_eval_ring_hom Polynomial.coe_aeval_eq_evalRingHom
+
 @[simp]
 theorem aeval_fn_apply {X : Type _} (g : R[X]) (f : X → R) (x : X) :
     ((aeval f) g) x = aeval (f x) g :=

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

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

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

@@ -50,6 +50,7 @@ instance algebraOfAlgebra : Algebra R A[X]
   toRingHom := C.comp (algebraMap R A)
 #align polynomial.algebra_of_algebra Polynomial.algebraOfAlgebra
 
+@[simp]
 theorem algebraMap_apply (r : R) : algebraMap R A[X] r = C (algebraMap R A r) :=
   rfl
 #align polynomial.algebra_map_apply Polynomial.algebraMap_apply
@@ -75,6 +76,10 @@ theorem C_eq_algebraMap (r : R) : C r = algebraMap R R[X] r :=
 set_option linter.uppercaseLean3 false in
 #align polynomial.C_eq_algebra_map Polynomial.C_eq_algebraMap
 
+@[simp]
+theorem algebraMap_eq : algebraMap R R[X] = C :=
+  rfl
+
 /-- `Polynomial.C` as an `AlgHom`. -/
 @[simps! apply]
 def CAlgHom : A →ₐ[R] A[X] where
@@ -99,8 +104,7 @@ implementation detail, but it can be useful to transfer results from `Finsupp` t
 def toFinsuppIsoAlg : R[X] ≃ₐ[R] R[ℕ] :=
   { toFinsuppIso R with
     commutes' := fun r => by
-      dsimp
-      exact toFinsupp_algebraMap _ }
+      dsimp }
 #align polynomial.to_finsupp_iso_alg Polynomial.toFinsuppIsoAlg
 
 variable {R}
@@ -450,12 +454,10 @@ theorem aevalTower_comp_C : (aevalTower g y : R[X] →+* A').comp C = g :=
 set_option linter.uppercaseLean3 false in
 #align polynomial.aeval_tower_comp_C Polynomial.aevalTower_comp_C
 
-@[simp]
 theorem aevalTower_algebraMap (x : R) : aevalTower g y (algebraMap R R[X] x) = g x :=
   eval₂_C _ _
 #align polynomial.aeval_tower_algebra_map Polynomial.aevalTower_algebraMap
 
-@[simp]
 theorem aevalTower_comp_algebraMap : (aevalTower g y : R[X] →+* A').comp (algebraMap R R[X]) = g :=
   aevalTower_comp_C _ _
 #align polynomial.aeval_tower_comp_algebra_map Polynomial.aevalTower_comp_algebraMap

Now that I am defining NNRat.cast, I want a definitive answer to this naming issue. Plenty of lemmas in mathlib already use natCast/intCast/ratCast over nat_cast/int_cast/rat_cast, and this matches with the general expectation that underscore-separated name parts correspond to a single declaration.

@@ -142,11 +142,11 @@ theorem ringHom_eval₂_cast_int_ringHom {R S : Type*} [Ring R] [Ring S] (p : 
 #align polynomial.ring_hom_eval₂_cast_int_ring_hom Polynomial.ringHom_eval₂_cast_int_ringHom
 
 @[simp]
-theorem eval₂_int_castRingHom_X {R : Type*} [Ring R] (p : ℤ[X]) (f : ℤ[X] →+* R) :
+theorem eval₂_intCastRingHom_X {R : Type*} [Ring R] (p : ℤ[X]) (f : ℤ[X] →+* R) :
     eval₂ (Int.castRingHom R) (f X) p = f p :=
   eval₂_algebraMap_X p f.toIntAlgHom
 set_option linter.uppercaseLean3 false in
-#align polynomial.eval₂_int_cast_ring_hom_X Polynomial.eval₂_int_castRingHom_X
+#align polynomial.eval₂_int_cast_ring_hom_X Polynomial.eval₂_intCastRingHom_X
 
 end CommSemiring
 
@@ -247,9 +247,9 @@ theorem aeval_bit1 : aeval x (bit1 p) = bit1 (aeval x p) :=
 end deprecated
 
 -- Porting note: removed `@[simp]` because `simp` can prove this
-theorem aeval_nat_cast (n : ℕ) : aeval x (n : R[X]) = n :=
+theorem aeval_natCast (n : ℕ) : aeval x (n : R[X]) = n :=
   map_natCast _ _
-#align polynomial.aeval_nat_cast Polynomial.aeval_nat_cast
+#align polynomial.aeval_nat_cast Polynomial.aeval_natCast
 
 theorem aeval_mul : aeval x (p * q) = aeval x p * aeval x q :=
   AlgHom.map_mul _ _ _

Co-authored-by: Moritz Firsching <firsching@google.com>

@@ -527,7 +527,7 @@ theorem eval_mul_X_sub_C {p : R[X]} (r : R) : (p * (X - C r)).eval r = 0 := by
   have bound :=
     calc
       (p * (X - C r)).natDegree ≤ p.natDegree + (X - C r).natDegree := natDegree_mul_le
-      _ ≤ p.natDegree + 1 := (add_le_add_left (natDegree_X_sub_C_le _) _)
+      _ ≤ p.natDegree + 1 := add_le_add_left (natDegree_X_sub_C_le _) _
       _ < p.natDegree + 2 := lt_add_one _
   rw [sum_over_range' _ _ (p.natDegree + 2) bound]
   swap

All these are about some code (now commented out) which performs a (now) redundant binder information update. I don't see how this is useful information going forward, hence propose simply deleting them.

@@ -172,8 +172,6 @@ def aeval : R[X] →ₐ[R] A :=
   eval₂AlgHom' (Algebra.ofId _ _) x (Algebra.commutes · _)
 #align polynomial.aeval Polynomial.aeval
 
--- Porting note: removed `variable` due to redundant binder annotation update
-
 @[simp]
 theorem adjoin_X : Algebra.adjoin R ({X} : Set R[X]) = ⊤ := by
   refine' top_unique fun p _hp => _

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

@@ -4,8 +4,8 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
 -/
 import Mathlib.Algebra.Algebra.Pi
+import Mathlib.Algebra.Polynomial.Eval
 import Mathlib.RingTheory.Adjoin.Basic
-import Mathlib.Data.Polynomial.Eval
 
 #align_import data.polynomial.algebra_map from "leanprover-community/mathlib"@"e064a7bf82ad94c3c17b5128bbd860d1ec34874e"
 

@@ -107,7 +107,7 @@ variable {R}
 
 instance subalgebraNontrivial [Nontrivial A] : Nontrivial (Subalgebra R A[X]) :=
   ⟨⟨⊥, ⊤, by
-      rw [Ne.def, SetLike.ext_iff, not_forall]
+      rw [Ne, SetLike.ext_iff, not_forall]
       refine' ⟨X, _⟩
       simp only [Algebra.mem_bot, not_exists, Set.mem_range, iff_true_iff, Algebra.mem_top,
         algebraMap_apply, not_forall]

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

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

where the latter is more natural

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

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

but it seems to no longer apply.

Remarks on the PR :

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

@@ -538,7 +538,7 @@ theorem eval_mul_X_sub_C {p : R[X]} (r : R) : (p * (X - C r)).eval r = 0 := by
   conv_lhs =>
     congr
     arg 2
-    simp [coeff_mul_X_sub_C, sub_mul, mul_assoc, ← pow_succ]
+    simp [coeff_mul_X_sub_C, sub_mul, mul_assoc, ← pow_succ']
   rw [sum_range_sub']
   simp [coeff_monomial]
 set_option linter.uppercaseLean3 false in
@@ -571,7 +571,7 @@ lemma aeval_apply_smul_mem_of_le_comap'
   · simp_rw [map_add, add_smul]
     exact Submodule.add_mem q h₁ h₂
   · dsimp only at hmq ⊢
-    rw [pow_succ, mul_left_comm, map_mul, aeval_X, mul_smul]
+    rw [pow_succ', mul_left_comm, map_mul, aeval_X, mul_smul]
     rw [← q.map_le_iff_le_comap] at hq
     exact hq ⟨_, hmq, rfl⟩
 

Homogenises porting notes via capitalisation and addition of whitespace.

It makes the following changes:

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

@@ -172,7 +172,7 @@ def aeval : R[X] →ₐ[R] A :=
   eval₂AlgHom' (Algebra.ofId _ _) x (Algebra.commutes · _)
 #align polynomial.aeval Polynomial.aeval
 
--- porting note: removed `variable` due to redundant binder annotation update
+-- Porting note: removed `variable` due to redundant binder annotation update
 
 @[simp]
 theorem adjoin_X : Algebra.adjoin R ({X} : Set R[X]) = ⊤ := by
@@ -193,7 +193,7 @@ theorem aeval_def (p : R[X]) : aeval x p = eval₂ (algebraMap R A) x p :=
   rfl
 #align polynomial.aeval_def Polynomial.aeval_def
 
--- porting note: removed `@[simp]` because `simp` can prove this
+-- Porting note: removed `@[simp]` because `simp` can prove this
 theorem aeval_zero : aeval x (0 : R[X]) = 0 :=
   AlgHom.map_zero (aeval x)
 #align polynomial.aeval_zero Polynomial.aeval_zero
@@ -215,18 +215,18 @@ theorem aeval_monomial {n : ℕ} {r : R} : aeval x (monomial n r) = algebraMap _
   eval₂_monomial _ _
 #align polynomial.aeval_monomial Polynomial.aeval_monomial
 
--- porting note: removed `@[simp]` because `simp` can prove this
+-- Porting note: removed `@[simp]` because `simp` can prove this
 theorem aeval_X_pow {n : ℕ} : aeval x ((X : R[X]) ^ n) = x ^ n :=
   eval₂_X_pow _ _
 set_option linter.uppercaseLean3 false in
 #align polynomial.aeval_X_pow Polynomial.aeval_X_pow
 
--- porting note: removed `@[simp]` because `simp` can prove this
+-- Porting note: removed `@[simp]` because `simp` can prove this
 theorem aeval_add : aeval x (p + q) = aeval x p + aeval x q :=
   AlgHom.map_add _ _ _
 #align polynomial.aeval_add Polynomial.aeval_add
 
--- porting note: removed `@[simp]` because `simp` can prove this
+-- Porting note: removed `@[simp]` because `simp` can prove this
 theorem aeval_one : aeval x (1 : R[X]) = 1 :=
   AlgHom.map_one _
 #align polynomial.aeval_one Polynomial.aeval_one
@@ -234,13 +234,13 @@ theorem aeval_one : aeval x (1 : R[X]) = 1 :=
 section deprecated
 set_option linter.deprecated false
 
--- porting note: removed `@[simp]` because `simp` can prove this
+-- Porting note: removed `@[simp]` because `simp` can prove this
 @[deprecated]
 theorem aeval_bit0 : aeval x (bit0 p) = bit0 (aeval x p) :=
   AlgHom.map_bit0 _ _
 #align polynomial.aeval_bit0 Polynomial.aeval_bit0
 
--- porting note: removed `@[simp]` because `simp` can prove this
+-- Porting note: removed `@[simp]` because `simp` can prove this
 @[deprecated]
 theorem aeval_bit1 : aeval x (bit1 p) = bit1 (aeval x p) :=
   AlgHom.map_bit1 _ _
@@ -248,7 +248,7 @@ theorem aeval_bit1 : aeval x (bit1 p) = bit1 (aeval x p) :=
 
 end deprecated
 
--- porting note: removed `@[simp]` because `simp` can prove this
+-- Porting note: removed `@[simp]` because `simp` can prove this
 theorem aeval_nat_cast (n : ℕ) : aeval x (n : R[X]) = n :=
   map_natCast _ _
 #align polynomial.aeval_nat_cast Polynomial.aeval_nat_cast

@@ -304,6 +304,11 @@ theorem aeval_algHom_apply {F : Type*} [FunLike F A B] [AlgHomClass F R A B]
   rw [map_add, hp, hq, ← map_add, ← map_add]
 #align polynomial.aeval_alg_hom_apply Polynomial.aeval_algHom_apply
 
+@[simp]
+lemma coe_aeval_mk_apply {S : Subalgebra R A} (h : x ∈ S) :
+    (aeval (⟨x, h⟩ : S) p : A) = aeval x p :=
+  (aeval_algHom_apply S.val (⟨x, h⟩ : S) p).symm
+
 theorem aeval_algEquiv (f : A ≃ₐ[R] B) (x : A) : aeval (f x) = (f : A →ₐ[R] B).comp (aeval x) :=
   aeval_algHom (f : A →ₐ[R] B) x
 #align polynomial.aeval_alg_equiv Polynomial.aeval_algEquiv
@@ -365,6 +370,23 @@ theorem _root_.Algebra.adjoin_singleton_eq_range_aeval (x : A) :
   rw [← Algebra.map_top, ← adjoin_X, AlgHom.map_adjoin, Set.image_singleton, aeval_X]
 #align algebra.adjoin_singleton_eq_range_aeval Algebra.adjoin_singleton_eq_range_aeval
 
+@[simp]
+theorem aeval_mem_adjoin_singleton :
+    aeval x p ∈ Algebra.adjoin R {x} := by
+  simpa only [Algebra.adjoin_singleton_eq_range_aeval] using Set.mem_range_self p
+
+instance instCommSemiringAdjoinSingleton :
+    CommSemiring <| Algebra.adjoin R {x} :=
+  { mul_comm := fun ⟨p, hp⟩ ⟨q, hq⟩ ↦ by
+      obtain ⟨p', rfl⟩ := Algebra.adjoin_singleton_eq_range_aeval R x ▸ hp
+      obtain ⟨q', rfl⟩ := Algebra.adjoin_singleton_eq_range_aeval R x ▸ hq
+      simp only [AlgHom.toRingHom_eq_coe, RingHom.coe_coe, Submonoid.mk_mul_mk, ← AlgHom.map_mul,
+        mul_comm p' q'] }
+
+instance instCommRingAdjoinSingleton {R A : Type*} [CommRing R] [Ring A] [Algebra R A] (x : A) :
+    CommRing <| Algebra.adjoin R {x} :=
+  { mul_comm := mul_comm }
+
 variable {R}
 
 section Semiring

The FunLike hierarchy is very big and gets scanned through each time we need a coercion (via the CoeFun instance). It looks like unbundled inheritance suits Lean 4 better here. The only class that still extends FunLike is EquivLike, since that has a custom coe_injective' field that is easier to implement. All other classes should take FunLike or EquivLike as a parameter.

Zulip thread

Important changes

Previously, morphism classes would be Type-valued and extend FunLike:

/-- `MyHomClass F A B` states that `F` is a type of `MyClass.op`-preserving morphisms.
You should extend this class when you extend `MyHom`. -/
class MyHomClass (F : Type*) (A B : outParam <| Type*) [MyClass A] [MyClass B]
  extends FunLike F A B :=
(map_op : ∀ (f : F) (x y : A), f (MyClass.op x y) = MyClass.op (f x) (f y))

After this PR, they should be Prop-valued and take FunLike as a parameter:

/-- `MyHomClass F A B` states that `F` is a type of `MyClass.op`-preserving morphisms.
You should extend this class when you extend `MyHom`. -/
class MyHomClass (F : Type*) (A B : outParam <| Type*) [MyClass A] [MyClass B]
  [FunLike F A B] : Prop :=
(map_op : ∀ (f : F) (x y : A), f (MyClass.op x y) = MyClass.op (f x) (f y))

(Note that A B stay marked as outParam even though they are not purely required to be so due to the FunLike parameter already filling them in. This is required to see through type synonyms, which is important in the category theory library. Also, I think keeping them as outParam is slightly faster.)

Similarly, MyEquivClass should take EquivLike as a parameter.

As a result, every mention of [MyHomClass F A B] should become [FunLike F A B] [MyHomClass F A B].

Remaining issues

Slower (failing) search

While overall this gives some great speedups, there are some cases that are noticeably slower. In particular, a failing application of a lemma such as map_mul is more expensive. This is due to suboptimal processing of arguments. For example:

variable [FunLike F M N] [Mul M] [Mul N] (f : F) (x : M) (y : M)

theorem map_mul [MulHomClass F M N] : f (x * y) = f x * f y

example [AddHomClass F A B] : f (x * y) = f x * f y := map_mul f _ _

Before this PR, applying map_mul f gives the goals [Mul ?M] [Mul ?N] [MulHomClass F ?M ?N]. Since M and N are out_params, [MulHomClass F ?M ?N] is synthesized first, supplies values for ?M and ?N and then the Mul M and Mul N instances can be found.

After this PR, the goals become [FunLike F ?M ?N] [Mul ?M] [Mul ?N] [MulHomClass F ?M ?N]. Now [FunLike F ?M ?N] is synthesized first, supplies values for ?M and ?N and then the Mul M and Mul N instances can be found, before trying MulHomClass F M N which fails. Since the Mul hierarchy is very big, this can be slow to fail, especially when there is no such Mul instance.

A long-term but harder to achieve solution would be to specify the order in which instance goals get solved. For example, we'd like to change the arguments to map_mul to look like [FunLike F M N] [Mul M] [Mul N] [highPriority <| MulHomClass F M N] because MulHomClass fails or succeeds much faster than the others.

As a consequence, the simpNF linter is much slower since by design it tries and fails to apply many map_ lemmas. The same issue occurs a few times in existing calls to simp [map_mul], where map_mul is tried "too soon" and fails. Thanks to the speedup of leanprover/lean4#2478 the impact is very limited, only in files that already were close to the timeout.

simp not firing sometimes

This affects map_smulₛₗ and related definitions. For simp lemmas Lean apparently uses a slightly different mechanism to find instances, so that rw can find every argument to map_smulₛₗ successfully but simp can't: leanprover/lean4#3701.

Missing instances due to unification failing

Especially in the category theory library, we might sometimes have a type A which is also accessible as a synonym (Bundled A hA).1. Instance synthesis doesn't always work if we have f : A →* B but x * y : (Bundled A hA).1 or vice versa. This seems to be mostly fixed by keeping A B as outParams in MulHomClass F A B. (Presumably because Lean will do a definitional check A =?= (Bundled A hA).1 instead of using the syntax in the discrimination tree.)

Workaround for issues

The timeouts can be worked around for now by specifying which map_mul we mean, either as map_mul f for some explicit f, or as e.g. MonoidHomClass.map_mul.

map_smulₛₗ not firing as simp lemma can be worked around by going back to the pre-FunLike situation and making LinearMap.map_smulₛₗ a simp lemma instead of the generic map_smulₛₗ. Writing simp [map_smulₛₗ _] also works.

Co-authored-by: Matthew Ballard <matt@mrb.email> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Scott Morrison <scott@tqft.net> Co-authored-by: Anne Baanen <Vierkantor@users.noreply.github.com>

@@ -296,7 +296,8 @@ theorem eval_unique (φ : R[X] →ₐ[R] A) (p) : φ p = eval₂ (algebraMap R A
   rw [← aeval_def, aeval_algHom, aeval_X_left, AlgHom.comp_id]
 #align polynomial.eval_unique Polynomial.eval_unique
 
-theorem aeval_algHom_apply {F : Type*} [AlgHomClass F R A B] (f : F) (x : A) (p : R[X]) :
+theorem aeval_algHom_apply {F : Type*} [FunLike F A B] [AlgHomClass F R A B]
+    (f : F) (x : A) (p : R[X]) :
     aeval (f x) p = f (aeval x p) := by
   refine' Polynomial.induction_on p (by simp [AlgHomClass.commutes]) (fun p q hp hq => _)
     (by simp [AlgHomClass.commutes])

@@ -534,4 +534,28 @@ theorem aeval_endomorphism {M : Type*} [CommRing R] [AddCommGroup M] [Module R M
   exact map_sum (LinearMap.applyₗ v) _ _
 #align polynomial.aeval_endomorphism Polynomial.aeval_endomorphism
 
+section StableSubmodule
+
+variable {M : Type*} [CommSemiring R] [AddCommMonoid M] [Module R M]
+  {q : Submodule R M} {m : M} (hm : m ∈ q) (p : R[X])
+
+lemma aeval_apply_smul_mem_of_le_comap'
+    [Semiring A] [Algebra R A] [Module A M] [IsScalarTower R A M] (a : A)
+    (hq : q ≤ q.comap (Algebra.lsmul R R M a)) :
+    aeval a p • m ∈ q := by
+  refine p.induction_on (M := fun f ↦ aeval a f • m ∈ q) (by simpa) (fun f₁ f₂ h₁ h₂ ↦ ?_)
+    (fun n t hmq ↦ ?_)
+  · simp_rw [map_add, add_smul]
+    exact Submodule.add_mem q h₁ h₂
+  · dsimp only at hmq ⊢
+    rw [pow_succ, mul_left_comm, map_mul, aeval_X, mul_smul]
+    rw [← q.map_le_iff_le_comap] at hq
+    exact hq ⟨_, hmq, rfl⟩
+
+lemma aeval_apply_smul_mem_of_le_comap (f : Module.End R M) (hq : q ≤ q.comap f) :
+    aeval f p m ∈ q :=
+  aeval_apply_smul_mem_of_le_comap' hm p f hq
+
+end StableSubmodule
+
 end Polynomial

Search for [∀∃].*(_ and manually replace some occurrences with more readable versions. In case of ∀, the new expressions are defeq to the old ones. In case of ∃, they differ by exists_prop.

In some rare cases, golf proofs that needed fixing.

@@ -469,7 +469,7 @@ section CommRing
 variable [CommRing S] {f : R →+* S}
 
 theorem dvd_term_of_dvd_eval_of_dvd_terms {z p : S} {f : S[X]} (i : ℕ) (dvd_eval : p ∣ f.eval z)
-    (dvd_terms : ∀ (j) (_ : j ≠ i), p ∣ f.coeff j * z ^ j) : p ∣ f.coeff i * z ^ i := by
+    (dvd_terms : ∀ j ≠ i, p ∣ f.coeff j * z ^ j) : p ∣ f.coeff i * z ^ i := by
   by_cases hi : i ∈ f.support
   · rw [eval, eval₂_eq_sum, sum_def] at dvd_eval
     rw [← Finset.insert_erase hi, Finset.sum_insert (Finset.not_mem_erase _ _)] at dvd_eval
@@ -483,7 +483,7 @@ theorem dvd_term_of_dvd_eval_of_dvd_terms {z p : S} {f : S[X]} (i : ℕ) (dvd_ev
 #align polynomial.dvd_term_of_dvd_eval_of_dvd_terms Polynomial.dvd_term_of_dvd_eval_of_dvd_terms
 
 theorem dvd_term_of_isRoot_of_dvd_terms {r p : S} {f : S[X]} (i : ℕ) (hr : f.IsRoot r)
-    (h : ∀ (j) (_ : j ≠ i), p ∣ f.coeff j * r ^ j) : p ∣ f.coeff i * r ^ i :=
+    (h : ∀ j ≠ i, p ∣ f.coeff j * r ^ j) : p ∣ f.coeff i * r ^ i :=
   dvd_term_of_dvd_eval_of_dvd_terms i (Eq.symm hr ▸ dvd_zero p) h
 #align polynomial.dvd_term_of_is_root_of_dvd_terms Polynomial.dvd_term_of_isRoot_of_dvd_terms
 

Main changes:

• add Monic.mem_nonZeroDivisors and mem_nonZeroDivisors_of_leadingCoeff which states that a monic polynomial (resp. a polynomial whose leading coefficient is not zero divisor) is not a zero divisor.
• add rootMultiplicity_mul_X_sub_C_pow which states that * (X - a) ^ n adds the root multiplicity at a by n.
• change the conditions in rootMultiplicity_X_sub_C_self, rootMultiplicity_X_sub_C and rootMultiplicity_X_sub_C_pow from IsDomain to Nontrivial.
• add rootMultiplicity_eq_natTrailingDegree which relates rootMultiplicity and natTrailingDegree, and eval_divByMonic_eq_trailingCoeff_comp.
• add le_rootMultiplicity_mul which is similar to le_trailingDegree_mul.
• add rootMultiplicity_mul' which slightly generalizes rootMultiplicity_mul

In Data/Polynomial/FieldDivision:

• add rootMultiplicity_sub_one_le_derivative_rootMultiplicity_of_ne_zero which slightly generalizes rootMultiplicity_sub_one_le_derivative_rootMultiplicity.
• add derivative_rootMultiplicity_of_root_of_mem_nonZeroDivisors which slightly generalizes derivative_rootMultiplicity_of_root.
• add several theorems relating roots of iterate derivative to rootMultiplicity

In addition:

• move eq_of_monic_of_associated from RingDivision to Monic and generalize.
• add dvd_cancel lemmas to NonZeroDivisors.
• add algEquivOfCompEqX: two polynomials that compose to X both ways induces an isomorphism of the polynomial algebra.
• add divisibility lemmas to Polynomial/Derivative.

Co-authored-by: Junyan Xu <junyanxu.math@gmail.com>

@@ -257,11 +257,26 @@ theorem aeval_mul : aeval x (p * q) = aeval x p * aeval x q :=
   AlgHom.map_mul _ _ _
 #align polynomial.aeval_mul Polynomial.aeval_mul
 
+theorem comp_eq_aeval : p.comp q = aeval q p := rfl
+
 theorem aeval_comp {A : Type*} [CommSemiring A] [Algebra R A] (x : A) :
     aeval x (p.comp q) = aeval (aeval x q) p :=
   eval₂_comp (algebraMap R A)
 #align polynomial.aeval_comp Polynomial.aeval_comp
 
+/-- Two polynomials `p` and `q` such that `p(q(X))=X` and `q(p(X))=X`
+  induces an automorphism of the polynomial algebra. -/
+@[simps!]
+def algEquivOfCompEqX (p q : R[X]) (hpq : p.comp q = X) (hqp : q.comp p = X) : R[X] ≃ₐ[R] R[X] := by
+  refine AlgEquiv.ofAlgHom (aeval p) (aeval q) ?_ ?_ <;>
+    exact AlgHom.ext fun _ ↦ by simp [← comp_eq_aeval, comp_assoc, hpq, hqp]
+
+/-- The automorphism of the polynomial algebra given by `p(X) ↦ p(X+t)`,
+  with inverse `p(X) ↦ p(X-t)`. -/
+@[simps!]
+def algEquivAevalXAddC {R} [CommRing R] (t : R) : R[X] ≃ₐ[R] R[X] :=
+  algEquivOfCompEqX (X + C t) (X - C t) (by simp) (by simp)
+
 theorem aeval_algHom (f : A →ₐ[R] B) (x : A) : aeval (f x) = f.comp (aeval x) :=
   algHom_ext <| by simp only [aeval_X, AlgHom.comp_apply]
 #align polynomial.aeval_alg_hom Polynomial.aeval_algHom

This adds an AlgHom version of eval₂RingHom', and a stronger ext lemma for noncommutative algebras. This is a follow-up to leanprover-community/mathlib#9250

This better ext lemma golfs away most of a nasty proof.

@@ -27,15 +27,12 @@ namespace Polynomial
 
 universe u v w z
 
-variable {R : Type u} {S : Type v} {T : Type w} {A : Type z} {A' B' : Type*} {a b : R} {n : ℕ}
-
-variable [CommSemiring A'] [Semiring B']
+variable {R : Type u} {S : Type v} {T : Type w} {A : Type z} {A' B : Type*} {a b : R} {n : ℕ}
 
 section CommSemiring
 
-variable [CommSemiring R] {p q r : R[X]}
-
-variable [Semiring A] [Algebra R A]
+variable [CommSemiring R] [Semiring A] [Semiring B] [Algebra R A] [Algebra R B]
+variable {p q r : R[X]}
 
 /-- Note that this instance also provides `Algebra R R[X]`. -/
 instance algebraOfAlgebra : Algebra R A[X]
@@ -78,15 +75,19 @@ theorem C_eq_algebraMap (r : R) : C r = algebraMap R R[X] r :=
 set_option linter.uppercaseLean3 false in
 #align polynomial.C_eq_algebra_map Polynomial.C_eq_algebraMap
 
--- porting note: removed `variable` because of redundant binder update annotation
+/-- `Polynomial.C` as an `AlgHom`. -/
+@[simps! apply]
+def CAlgHom : A →ₐ[R] A[X] where
+  toRingHom := C
+  commutes' _ := rfl
 
 /-- Extensionality lemma for algebra maps out of `A'[X]` over a smaller base ring than `A'`
 -/
 @[ext 1100]
-theorem algHom_ext' [Algebra R A'] [Algebra R B'] {f g : A'[X] →ₐ[R] B'}
-    (h₁ : f.comp (IsScalarTower.toAlgHom R A' A'[X]) = g.comp (IsScalarTower.toAlgHom R A' A'[X]))
-    (h₂ : f X = g X) : f = g :=
-  AlgHom.coe_ringHom_injective (Polynomial.ringHom_ext' (congr_arg AlgHom.toRingHom h₁) h₂)
+theorem algHom_ext' {f g : A[X] →ₐ[R] B}
+    (hC : f.comp CAlgHom = g.comp CAlgHom)
+    (hX : f X = g X) : f = g :=
+  AlgHom.coe_ringHom_injective (ringHom_ext' (congr_arg AlgHom.toRingHom hC) hX)
 #align polynomial.alg_hom_ext' Polynomial.algHom_ext'
 
 variable (R)
@@ -151,21 +152,24 @@ end CommSemiring
 
 section aeval
 
-variable [CommSemiring R] {p q : R[X]}
+variable [CommSemiring R] [Semiring A] [CommSemiring A'] [Semiring B]
+variable [Algebra R A] [Algebra R A'] [Algebra R B]
+variable {p q : R[X]} (x : A)
 
-variable [Semiring A] [Algebra R A]
+/-- `Polynomial.eval₂` as an `AlgHom` for noncommutative algebras.
 
-variable {B : Type*} [Semiring B] [Algebra R B]
-
-variable (x : A)
+This is `Polynomial.eval₂RingHom'` for `AlgHom`s. -/
+@[simps!]
+def eval₂AlgHom' (f : A →ₐ[R] B) (b : B) (hf : ∀ a, Commute (f a) b) : A[X] →ₐ[R] B where
+  toRingHom := eval₂RingHom' f b hf
+  commutes' _ := (eval₂_C _ _).trans (f.commutes _)
 
 /-- Given a valuation `x` of the variable in an `R`-algebra `A`, `aeval R A x` is
 the unique `R`-algebra homomorphism from `R[X]` to `A` sending `X` to `x`.
 
 This is a stronger variant of the linear map `Polynomial.leval`. -/
 def aeval : R[X] →ₐ[R] A :=
-  { eval₂RingHom' (algebraMap R A) x fun _a => Algebra.commutes _ _ with
-    commutes' := fun _r => eval₂_C _ _ }
+  eval₂AlgHom' (Algebra.ofId _ _) x (Algebra.commutes · _)
 #align polynomial.aeval Polynomial.aeval
 
 -- porting note: removed `variable` due to redundant binder annotation update
@@ -180,8 +184,9 @@ set_option linter.uppercaseLean3 false in
 #align polynomial.adjoin_X Polynomial.adjoin_X
 
 @[ext 1200]
-theorem algHom_ext {f g : R[X] →ₐ[R] A} (h : f X = g X) : f = g :=
-  AlgHom.ext_of_adjoin_eq_top adjoin_X fun _p hp => (Set.mem_singleton_iff.1 hp).symm ▸ h
+theorem algHom_ext {f g : R[X] →ₐ[R] B} (hX : f X = g X) :
+    f = g :=
+  algHom_ext' (Subsingleton.elim _ _) hX
 #align polynomial.alg_hom_ext Polynomial.algHom_ext
 
 theorem aeval_def (p : R[X]) : aeval x p = eval₂ (algebraMap R A) x p :=
@@ -381,12 +386,12 @@ section CommSemiring
 
 section aevalTower
 
-variable [CommSemiring S] [Algebra S R] [Algebra S A'] [Algebra S B']
+variable [CommSemiring S] [Algebra S R] [Algebra S A'] [Algebra S B]
 
 /-- Version of `aeval` for defining algebra homs out of `R[X]` over a smaller base ring
   than `R`. -/
 def aevalTower (f : R →ₐ[S] A') (x : A') : R[X] →ₐ[S] A' :=
-  { eval₂RingHom (↑f) x with commutes' := fun r => by simp [algebraMap_apply] }
+  eval₂AlgHom' f x fun _ => Commute.all _ _
 #align polynomial.aeval_tower Polynomial.aevalTower
 
 variable (g : R →ₐ[S] A') (y : A')

Introduce the notation R[A] for AddMonoidAlgebra R A. This is to align Mathlibs notation with the standard notation for group ring.

The notation is scoped in AddMonoidAlgebra and there is no analogous notation for MonoidAlgebra.

I only used the notation for single-character R and As and only in the range [a-zA-Z].

The extra lines are all in Mathlib/Algebra/MonoidAlgebra/Basic.lean. They are accounted for by extra text in the doc-module and the actual notation.

Affected files:

Counterexamples/ZeroDivisorsInAddMonoidAlgebras
Algebra/AlgebraicCard
Algebra/MonoidAlgebra/Basic
Algebra/MonoidAlgebra/Degree
Algebra/MonoidAlgebra/Division
Algebra/MonoidAlgebra/Grading
Algebra/MonoidAlgebra/NoZeroDivisors
Algebra/MonoidAlgebra/Support
Data/Polynomial/AlgebraMap
Data/Polynomial/Basic
Data/Polynomial/Eval
Data/Polynomial/Laurent
RingTheory/FiniteType

@@ -91,10 +91,11 @@ theorem algHom_ext' [Algebra R A'] [Algebra R B'] {f g : A'[X] →ₐ[R] B'}
 
 variable (R)
 
-/-- Algebra isomorphism between `R[X]` and `AddMonoidAlgebra R ℕ`. This is just an
+open AddMonoidAlgebra in
+/-- Algebra isomorphism between `R[X]` and `R[ℕ]`. This is just an
 implementation detail, but it can be useful to transfer results from `Finsupp` to polynomials. -/
 @[simps!]
-def toFinsuppIsoAlg : R[X] ≃ₐ[R] AddMonoidAlgebra R ℕ :=
+def toFinsuppIsoAlg : R[X] ≃ₐ[R] R[ℕ] :=
   { toFinsuppIso R with
     commutes' := fun r => by
       dsimp

Also _root_.map_smul when in the neighbourhood.

@@ -510,7 +510,7 @@ end Ring
 theorem aeval_endomorphism {M : Type*} [CommRing R] [AddCommGroup M] [Module R M] (f : M →ₗ[R] M)
     (v : M) (p : R[X]) : aeval f p v = p.sum fun n b => b • (f ^ n) v := by
   rw [aeval_def, eval₂_eq_sum]
-  exact (LinearMap.applyₗ v).map_sum
+  exact map_sum (LinearMap.applyₗ v) _ _
 #align polynomial.aeval_endomorphism Polynomial.aeval_endomorphism
 
 end Polynomial

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

This has nice performance benefits.

@@ -27,7 +27,7 @@ namespace Polynomial
 
 universe u v w z
 
-variable {R : Type u} {S : Type v} {T : Type w} {A : Type z} {A' B' : Type _} {a b : R} {n : ℕ}
+variable {R : Type u} {S : Type v} {T : Type w} {A : Type z} {A' B' : Type*} {a b : R} {n : ℕ}
 
 variable [CommSemiring A'] [Semiring B']
 
@@ -115,7 +115,7 @@ instance subalgebraNontrivial [Nontrivial A] : Nontrivial (Subalgebra R A[X]) :=
       simp [coeff_C]⟩⟩
 
 @[simp]
-theorem algHom_eval₂_algebraMap {R A B : Type _} [CommSemiring R] [Semiring A] [Semiring B]
+theorem algHom_eval₂_algebraMap {R A B : Type*} [CommSemiring R] [Semiring A] [Semiring B]
     [Algebra R A] [Algebra R B] (p : R[X]) (f : A →ₐ[R] B) (a : A) :
     f (eval₂ (algebraMap R A) a p) = eval₂ (algebraMap R B) (f a) p := by
   simp only [eval₂_eq_sum, sum_def]
@@ -123,7 +123,7 @@ theorem algHom_eval₂_algebraMap {R A B : Type _} [CommSemiring R] [Semiring A]
 #align polynomial.alg_hom_eval₂_algebra_map Polynomial.algHom_eval₂_algebraMap
 
 @[simp]
-theorem eval₂_algebraMap_X {R A : Type _} [CommSemiring R] [Semiring A] [Algebra R A] (p : R[X])
+theorem eval₂_algebraMap_X {R A : Type*} [CommSemiring R] [Semiring A] [Algebra R A] (p : R[X])
     (f : R[X] →ₐ[R] A) : eval₂ (algebraMap R A) (f X) p = f p := by
   conv_rhs => rw [← Polynomial.sum_C_mul_X_pow_eq p]
   simp only [eval₂_eq_sum, sum_def]
@@ -134,13 +134,13 @@ set_option linter.uppercaseLean3 false in
 
 -- these used to be about `algebraMap ℤ R`, but now the simp-normal form is `Int.castRingHom R`.
 @[simp]
-theorem ringHom_eval₂_cast_int_ringHom {R S : Type _} [Ring R] [Ring S] (p : ℤ[X]) (f : R →+* S)
+theorem ringHom_eval₂_cast_int_ringHom {R S : Type*} [Ring R] [Ring S] (p : ℤ[X]) (f : R →+* S)
     (r : R) : f (eval₂ (Int.castRingHom R) r p) = eval₂ (Int.castRingHom S) (f r) p :=
   algHom_eval₂_algebraMap p f.toIntAlgHom r
 #align polynomial.ring_hom_eval₂_cast_int_ring_hom Polynomial.ringHom_eval₂_cast_int_ringHom
 
 @[simp]
-theorem eval₂_int_castRingHom_X {R : Type _} [Ring R] (p : ℤ[X]) (f : ℤ[X] →+* R) :
+theorem eval₂_int_castRingHom_X {R : Type*} [Ring R] (p : ℤ[X]) (f : ℤ[X] →+* R) :
     eval₂ (Int.castRingHom R) (f X) p = f p :=
   eval₂_algebraMap_X p f.toIntAlgHom
 set_option linter.uppercaseLean3 false in
@@ -154,7 +154,7 @@ variable [CommSemiring R] {p q : R[X]}
 
 variable [Semiring A] [Algebra R A]
 
-variable {B : Type _} [Semiring B] [Algebra R B]
+variable {B : Type*} [Semiring B] [Algebra R B]
 
 variable (x : A)
 
@@ -251,7 +251,7 @@ theorem aeval_mul : aeval x (p * q) = aeval x p * aeval x q :=
   AlgHom.map_mul _ _ _
 #align polynomial.aeval_mul Polynomial.aeval_mul
 
-theorem aeval_comp {A : Type _} [CommSemiring A] [Algebra R A] (x : A) :
+theorem aeval_comp {A : Type*} [CommSemiring A] [Algebra R A] (x : A) :
     aeval x (p.comp q) = aeval (aeval x q) p :=
   eval₂_comp (algebraMap R A)
 #align polynomial.aeval_comp Polynomial.aeval_comp
@@ -275,7 +275,7 @@ theorem eval_unique (φ : R[X] →ₐ[R] A) (p) : φ p = eval₂ (algebraMap R A
   rw [← aeval_def, aeval_algHom, aeval_X_left, AlgHom.comp_id]
 #align polynomial.eval_unique Polynomial.eval_unique
 
-theorem aeval_algHom_apply {F : Type _} [AlgHomClass F R A B] (f : F) (x : A) (p : R[X]) :
+theorem aeval_algHom_apply {F : Type*} [AlgHomClass F R A B] (f : F) (x : A) (p : R[X]) :
     aeval (f x) p = f (aeval x p) := by
   refine' Polynomial.induction_on p (by simp [AlgHomClass.commutes]) (fun p q hp hq => _)
     (by simp [AlgHomClass.commutes])
@@ -303,13 +303,13 @@ theorem coe_aeval_eq_evalRingHom (x : R) :
 #align polynomial.coe_aeval_eq_eval_ring_hom Polynomial.coe_aeval_eq_evalRingHom
 
 @[simp]
-theorem aeval_fn_apply {X : Type _} (g : R[X]) (f : X → R) (x : X) :
+theorem aeval_fn_apply {X : Type*} (g : R[X]) (f : X → R) (x : X) :
     ((aeval f) g) x = aeval (f x) g :=
   (aeval_algHom_apply (Pi.evalAlgHom R (fun _ => R) x) f g).symm
 #align polynomial.aeval_fn_apply Polynomial.aeval_fn_apply
 
 @[norm_cast]
-theorem aeval_subalgebra_coe (g : R[X]) {A : Type _} [Semiring A] [Algebra R A] (s : Subalgebra R A)
+theorem aeval_subalgebra_coe (g : R[X]) {A : Type*} [Semiring A] [Algebra R A] (s : Subalgebra R A)
     (f : s) : (aeval f g : A) = aeval (f : A) g :=
   (aeval_algHom_apply s.val f g).symm
 #align polynomial.aeval_subalgebra_coe Polynomial.aeval_subalgebra_coe
@@ -322,7 +322,7 @@ theorem coeff_zero_eq_aeval_zero' (p : R[X]) : algebraMap R A (p.coeff 0) = aeva
   simp [aeval_def]
 #align polynomial.coeff_zero_eq_aeval_zero' Polynomial.coeff_zero_eq_aeval_zero'
 
-theorem map_aeval_eq_aeval_map {S T U : Type _} [CommSemiring S] [CommSemiring T] [Semiring U]
+theorem map_aeval_eq_aeval_map {S T U : Type*} [CommSemiring S] [CommSemiring T] [Semiring U]
     [Algebra R S] [Algebra T U] {φ : R →+* T} {ψ : S →+* U}
     (h : (algebraMap T U).comp φ = ψ.comp (algebraMap R S)) (p : R[X]) (a : S) :
     ψ (aeval a p) = aeval (ψ a) (p.map φ) := by
@@ -507,7 +507,7 @@ set_option linter.uppercaseLean3 false in
 
 end Ring
 
-theorem aeval_endomorphism {M : Type _} [CommRing R] [AddCommGroup M] [Module R M] (f : M →ₗ[R] M)
+theorem aeval_endomorphism {M : Type*} [CommRing R] [AddCommGroup M] [Module R M] (f : M →ₗ[R] M)
     (v : M) (p : R[X]) : aeval f p v = p.sum fun n b => b • (f ^ n) v := by
   rw [aeval_def, eval₂_eq_sum]
   exact (LinearMap.applyₗ v).map_sum

• depends on: #5966

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

@@ -2,16 +2,13 @@
 Copyright (c) 2018 Chris Hughes. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
-
-! This file was ported from Lean 3 source module data.polynomial.algebra_map
-! leanprover-community/mathlib commit e064a7bf82ad94c3c17b5128bbd860d1ec34874e
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.Algebra.Pi
 import Mathlib.RingTheory.Adjoin.Basic
 import Mathlib.Data.Polynomial.Eval
 
+#align_import data.polynomial.algebra_map from "leanprover-community/mathlib"@"e064a7bf82ad94c3c17b5128bbd860d1ec34874e"
+
 /-!
 # Theory of univariate polynomials
 

Changes are of the form

• some_tactic at h⊢ -> some_tactic at h ⊢
• some_tactic at h -> some_tactic at h

@@ -335,7 +335,7 @@ theorem map_aeval_eq_aeval_map {S T U : Type _} [CommSemiring S] [CommSemiring T
 
 theorem aeval_eq_zero_of_dvd_aeval_eq_zero [CommSemiring S] [CommSemiring T] [Algebra S T]
     {p q : S[X]} (h₁ : p ∣ q) {a : T} (h₂ : aeval a p = 0) : aeval a q = 0 := by
-  rw [aeval_def, ← eval_map] at h₂⊢
+  rw [aeval_def, ← eval_map] at h₂ ⊢
   exact eval_eq_zero_of_dvd_of_eval_eq_zero (Polynomial.map_dvd (algebraMap S T) h₁) h₂
 #align polynomial.aeval_eq_zero_of_dvd_aeval_eq_zero Polynomial.aeval_eq_zero_of_dvd_aeval_eq_zero
 

Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Mario Carneiro <di.gama@gmail.com> Co-authored-by: Floris van Doorn <fpvdoorn@gmail.com> Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com> Co-authored-by: Alex J Best <alex.j.best@gmail.com>

@@ -432,7 +432,7 @@ theorem aevalTower_comp_toAlgHom : (aevalTower g y).comp (IsScalarTower.toAlgHom
 
 @[simp]
 theorem aevalTower_id : aevalTower (AlgHom.id S S) = aeval := by
-  ext s p
+  ext s
   simp only [eval_X, aevalTower_X, coe_aeval_eq_eval]
 #align polynomial.aeval_tower_id Polynomial.aevalTower_id
 

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

@@ -81,7 +81,7 @@ theorem C_eq_algebraMap (r : R) : C r = algebraMap R R[X] r :=
 set_option linter.uppercaseLean3 false in
 #align polynomial.C_eq_algebra_map Polynomial.C_eq_algebraMap
 
--- porting note: removed `variable` because of redunant binder update annotation
+-- porting note: removed `variable` because of redundant binder update annotation
 
 /-- Extensionality lemma for algebra maps out of `A'[X]` over a smaller base ring than `A'`
 -/

Now that leanprover/lean4#2210 has been merged, this PR:

• removes all the set_option synthInstance.etaExperiment true commands (and some etaExperiment% term elaborators)
• removes many but not quite all set_option maxHeartbeats commands
• makes various other changes required to cope with leanprover/lean4#2210.

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Matthew Ballard <matt@mrb.email>

@@ -510,10 +510,6 @@ set_option linter.uppercaseLean3 false in
 
 end Ring
 
--- porting note: workaround lean4#2074, this declaration works with
--- `set_option synthInstance.etaExperiment true`
-attribute [-instance] Ring.toNonAssocRing
-
 theorem aeval_endomorphism {M : Type _} [CommRing R] [AddCommGroup M] [Module R M] (f : M →ₗ[R] M)
     (v : M) (p : R[X]) : aeval f p v = p.sum fun n b => b • (f ^ n) v := by
   rw [aeval_def, eval₂_eq_sum]

This PR puts, with one exception, every single remaining by that lies all by itself on its own line to the previous line, thus matching the current behaviour of start-port.sh. The exception is when the by begins the second or later argument to a tuple or anonymous constructor; see https://github.com/leanprover-community/mathlib4/pull/3825#discussion_r1186702599.

Essentially this is s/\n *by$/ by/g, but with manual editing to satisfy the linter's max-100-char-line requirement. The Python style linter is also modified to catch these "isolated bys".

@@ -44,14 +44,12 @@ variable [Semiring A] [Algebra R A]
 instance algebraOfAlgebra : Algebra R A[X]
     where
   smul_def' r p :=
-    toFinsupp_injective <|
-      by
+    toFinsupp_injective <| by
       dsimp only [RingHom.toFun_eq_coe, RingHom.comp_apply]
       rw [toFinsupp_smul, toFinsupp_mul, toFinsupp_C]
       exact Algebra.smul_def' _ _
   commutes' r p :=
-    toFinsupp_injective <|
-      by
+    toFinsupp_injective <| by
       dsimp only [RingHom.toFun_eq_coe, RingHom.comp_apply]
       simp_rw [toFinsupp_mul, toFinsupp_C]
       convert Algebra.commutes' r p.toFinsupp
@@ -64,8 +62,7 @@ theorem algebraMap_apply (r : R) : algebraMap R A[X] r = C (algebraMap R A r) :=
 
 @[simp]
 theorem toFinsupp_algebraMap (r : R) : (algebraMap R A[X] r).toFinsupp = algebraMap R _ r :=
-  show toFinsupp (C (algebraMap _ _ r)) = _
-    by
+  show toFinsupp (C (algebraMap _ _ r)) = _ by
     rw [toFinsupp_C]
     rfl
 #align polynomial.to_finsupp_algebra_map Polynomial.toFinsupp_algebraMap

@@ -88,7 +88,7 @@ set_option linter.uppercaseLean3 false in
 
 /-- Extensionality lemma for algebra maps out of `A'[X]` over a smaller base ring than `A'`
 -/
-@[ext 1001]
+@[ext 1100]
 theorem algHom_ext' [Algebra R A'] [Algebra R B'] {f g : A'[X] →ₐ[R] B'}
     (h₁ : f.comp (IsScalarTower.toAlgHom R A' A'[X]) = g.comp (IsScalarTower.toAlgHom R A' A'[X]))
     (h₂ : f X = g X) : f = g :=
@@ -184,7 +184,7 @@ theorem adjoin_X : Algebra.adjoin R ({X} : Set R[X]) = ⊤ := by
 set_option linter.uppercaseLean3 false in
 #align polynomial.adjoin_X Polynomial.adjoin_X
 
-@[ext 1002]
+@[ext 1200]
 theorem algHom_ext {f g : R[X] →ₐ[R] A} (h : f X = g X) : f = g :=
   AlgHom.ext_of_adjoin_eq_top adjoin_X fun _p hp => (Set.mem_singleton_iff.1 hp).symm ▸ h
 #align polynomial.alg_hom_ext Polynomial.algHom_ext

• depends on: #2817