data.mv_polynomial.comm_ring | Mathlib porting status

Changes since the initial port

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

Changes in mathlib3

2f5b500a

(last sync)

fix(data/mv_polynomial): add missing decidable_eq arguments to lemmas (#18848)

This does not change the type of any definitions; the effect of this PR is to make the statement of the lemmas syntactically more general.

To ensure this catches them all, this removes open_locale classical from the beginning of every file in data/mv_polynomial and ring_theory/mv_polynomial.

For definitions which bake in a classical.dec_eq assumption, this adds a lemma proven by convert rfl that unfolds them to a version with an arbitrary decidable_eq instance, following a pattern established elsewhere.

Unlike previous refactors of this style this doesn't seemed to have helped any downstream proofs much.

Diff

@@ -38,8 +38,6 @@ This will give rise to a monomial in `mv_polynomial σ R` which mathematicians m
 
 noncomputable theory
 
-open_locale classical big_operators
-
 open set function finsupp add_monoid_algebra
 open_locale big_operators
 
@@ -70,7 +68,8 @@ variables (σ a a')
 @[simp] lemma support_neg : (- p).support = p.support :=
 finsupp.support_neg p
 
-lemma support_sub (p q : mv_polynomial σ R) : (p - q).support ⊆ p.support ∪ q.support :=
+lemma support_sub [decidable_eq σ] (p q : mv_polynomial σ R) :
+  (p - q).support ⊆ p.support ∪ q.support :=
 finsupp.support_sub
 
 variables {σ} (p)
@@ -80,9 +79,9 @@ section degrees
 lemma degrees_neg (p : mv_polynomial σ R) : (- p).degrees = p.degrees :=
 by rw [degrees, support_neg]; refl
 
-lemma degrees_sub (p q : mv_polynomial σ R) :
+lemma degrees_sub [decidable_eq σ] (p q : mv_polynomial σ R) :
   (p - q).degrees ≤ p.degrees ⊔ q.degrees :=
-by simpa only [sub_eq_add_neg] using le_trans (degrees_add p (-q)) (by rw degrees_neg)
+by classical; simpa only [sub_eq_add_neg, degrees_neg] using degrees_add p (-q)
 
 end degrees
 
@@ -93,13 +92,14 @@ variables (p q)
 @[simp] lemma vars_neg : (-p).vars = p.vars :=
 by simp [vars, degrees_neg]
 
-lemma vars_sub_subset : (p - q).vars ⊆ p.vars ∪ q.vars :=
+lemma vars_sub_subset [decidable_eq σ] : (p - q).vars ⊆ p.vars ∪ q.vars :=
 by convert vars_add_subset p (-q) using 2; simp [sub_eq_add_neg]
 
 variables {p q}
 
 @[simp]
-lemma vars_sub_of_disjoint (hpq : disjoint p.vars q.vars) : (p - q).vars = p.vars ∪ q.vars :=
+lemma vars_sub_of_disjoint [decidable_eq σ] (hpq : disjoint p.vars q.vars) :
+  (p - q).vars = p.vars ∪ q.vars :=
 begin
   rw ←vars_neg q at hpq,
   convert vars_add_of_disjoint hpq using 2;
@@ -148,6 +148,7 @@ lemma degree_of_sub_lt {x : σ} {f g : mv_polynomial σ R} {k : ℕ} (h : 0 < k)
   (hg : ∀ (m : σ →₀ ℕ), m ∈ g.support → (k ≤ m x) → coeff m f = coeff m g) :
   degree_of x (f - g) < k :=
 begin
+  classical,
   rw degree_of_lt_iff h,
   intros m hm,
   by_contra hc,
@@ -169,9 +170,12 @@ by simp only [total_degree, support_neg]
 
 lemma total_degree_sub (a b : mv_polynomial σ R) :
   (a - b).total_degree ≤ max a.total_degree b.total_degree :=
-calc (a - b).total_degree = (a + -b).total_degree                : by rw sub_eq_add_neg
-                      ... ≤ max a.total_degree (-b).total_degree : total_degree_add a (-b)
-                      ... = max a.total_degree b.total_degree    : by rw total_degree_neg
+begin
+  classical,
+  calc (a - b).total_degree = (a + -b).total_degree                : by rw sub_eq_add_neg
+                        ... ≤ max a.total_degree (-b).total_degree : total_degree_add a (-b)
+                        ... = max a.total_degree b.total_degree    : by rw total_degree_neg
+end
 
 end total_degree

972aa423

(first ported)

Changes in mathlib3port

mathlib3

mathlib3port

2f5b500a

bump to nightly-2024-04-07-08

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

b03b8656

Diff

@@ -3,7 +3,7 @@ Copyright (c) 2017 Johannes Hölzl. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Johan Commelin, Mario Carneiro
 -/
-import Data.MvPolynomial.Degrees
+import Algebra.MvPolynomial.Degrees
 
 #align_import data.mv_polynomial.comm_ring from "leanprover-community/mathlib"@"2f5b500a507264de86d666a5f87ddb976e2d8de4"

2f5b500a

bump to nightly-2024-04-06-08

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

e34029c9

Diff

@@ -3,7 +3,7 @@ Copyright (c) 2017 Johannes Hölzl. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Johan Commelin, Mario Carneiro
 -/
-import Data.MvPolynomial.Variables
+import Data.MvPolynomial.Degrees
 
 #align_import data.mv_polynomial.comm_ring from "leanprover-community/mathlib"@"2f5b500a507264de86d666a5f87ddb976e2d8de4"

2f5b500a

bump to nightly-2024-03-17-08

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

22f01ce4

Diff

@@ -147,7 +147,7 @@ variable {p q}
 theorem vars_sub_of_disjoint [DecidableEq σ] (hpq : Disjoint p.vars q.vars) :
     (p - q).vars = p.vars ∪ q.vars :=
   by
-  rw [← vars_neg q] at hpq 
+  rw [← vars_neg q] at hpq
   convert vars_add_of_disjoint hpq using 2 <;> simp [sub_eq_add_neg]
 #align mv_polynomial.vars_sub_of_disjoint MvPolynomial.vars_sub_of_disjoint
 -/
@@ -217,9 +217,9 @@ theorem degreeOf_sub_lt {x : σ} {f g : MvPolynomial σ R} {k : ℕ} (h : 0 < k)
   rw [degree_of_lt_iff h]
   intro m hm
   by_contra hc
-  simp only [not_lt] at hc 
+  simp only [not_lt] at hc
   have h := support_sub σ f g hm
-  simp only [mem_support_iff, Ne.def, coeff_sub, sub_eq_zero] at hm 
+  simp only [mem_support_iff, Ne.def, coeff_sub, sub_eq_zero] at hm
   cases' Finset.mem_union.1 h with cf cg
   · exact hm (hf m cf hc)
   · exact hm (hg m cg hc)

2f5b500a

bump to nightly-2024-02-01-06

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

5433bded

Diff

@@ -117,7 +117,8 @@ theorem degrees_neg (p : MvPolynomial σ R) : (-p).degrees = p.degrees := by
 
 #print MvPolynomial.degrees_sub /-
 theorem degrees_sub [DecidableEq σ] (p q : MvPolynomial σ R) :
-    (p - q).degrees ≤ p.degrees ⊔ q.degrees := by classical
+    (p - q).degrees ≤ p.degrees ⊔ q.degrees := by
+  classical simpa only [sub_eq_add_neg, degrees_neg] using degrees_add p (-q)
 #align mv_polynomial.degrees_sub MvPolynomial.degrees_sub
 -/
 
@@ -211,7 +212,17 @@ section DegreeOf
 theorem degreeOf_sub_lt {x : σ} {f g : MvPolynomial σ R} {k : ℕ} (h : 0 < k)
     (hf : ∀ m : σ →₀ ℕ, m ∈ f.support → k ≤ m x → coeff m f = coeff m g)
     (hg : ∀ m : σ →₀ ℕ, m ∈ g.support → k ≤ m x → coeff m f = coeff m g) : degreeOf x (f - g) < k :=
-  by classical
+  by
+  classical
+  rw [degree_of_lt_iff h]
+  intro m hm
+  by_contra hc
+  simp only [not_lt] at hc 
+  have h := support_sub σ f g hm
+  simp only [mem_support_iff, Ne.def, coeff_sub, sub_eq_zero] at hm 
+  cases' Finset.mem_union.1 h with cf cg
+  · exact hm (hf m cf hc)
+  · exact hm (hg m cg hc)
 #align mv_polynomial.degree_of_sub_lt MvPolynomial.degreeOf_sub_lt
 -/
 
@@ -228,7 +239,11 @@ theorem totalDegree_neg (a : MvPolynomial σ R) : (-a).totalDegree = a.totalDegr
 
 #print MvPolynomial.totalDegree_sub /-
 theorem totalDegree_sub (a b : MvPolynomial σ R) :
-    (a - b).totalDegree ≤ max a.totalDegree b.totalDegree := by classical
+    (a - b).totalDegree ≤ max a.totalDegree b.totalDegree := by
+  classical calc
+    (a - b).totalDegree = (a + -b).totalDegree := by rw [sub_eq_add_neg]
+    _ ≤ max a.total_degree (-b).totalDegree := (total_degree_add a (-b))
+    _ = max a.total_degree b.total_degree := by rw [total_degree_neg]
 #align mv_polynomial.total_degree_sub MvPolynomial.totalDegree_sub
 -/

2f5b500a

bump to nightly-2024-01-31-06

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

61100fe9

Diff

@@ -117,8 +117,7 @@ theorem degrees_neg (p : MvPolynomial σ R) : (-p).degrees = p.degrees := by
 
 #print MvPolynomial.degrees_sub /-
 theorem degrees_sub [DecidableEq σ] (p q : MvPolynomial σ R) :
-    (p - q).degrees ≤ p.degrees ⊔ q.degrees := by
-  classical simpa only [sub_eq_add_neg, degrees_neg] using degrees_add p (-q)
+    (p - q).degrees ≤ p.degrees ⊔ q.degrees := by classical
 #align mv_polynomial.degrees_sub MvPolynomial.degrees_sub
 -/
 
@@ -212,17 +211,7 @@ section DegreeOf
 theorem degreeOf_sub_lt {x : σ} {f g : MvPolynomial σ R} {k : ℕ} (h : 0 < k)
     (hf : ∀ m : σ →₀ ℕ, m ∈ f.support → k ≤ m x → coeff m f = coeff m g)
     (hg : ∀ m : σ →₀ ℕ, m ∈ g.support → k ≤ m x → coeff m f = coeff m g) : degreeOf x (f - g) < k :=
-  by
-  classical
-  rw [degree_of_lt_iff h]
-  intro m hm
-  by_contra hc
-  simp only [not_lt] at hc 
-  have h := support_sub σ f g hm
-  simp only [mem_support_iff, Ne.def, coeff_sub, sub_eq_zero] at hm 
-  cases' Finset.mem_union.1 h with cf cg
-  · exact hm (hf m cf hc)
-  · exact hm (hg m cg hc)
+  by classical
 #align mv_polynomial.degree_of_sub_lt MvPolynomial.degreeOf_sub_lt
 -/
 
@@ -239,11 +228,7 @@ theorem totalDegree_neg (a : MvPolynomial σ R) : (-a).totalDegree = a.totalDegr
 
 #print MvPolynomial.totalDegree_sub /-
 theorem totalDegree_sub (a b : MvPolynomial σ R) :
-    (a - b).totalDegree ≤ max a.totalDegree b.totalDegree := by
-  classical calc
-    (a - b).totalDegree = (a + -b).totalDegree := by rw [sub_eq_add_neg]
-    _ ≤ max a.total_degree (-b).totalDegree := (total_degree_add a (-b))
-    _ = max a.total_degree b.total_degree := by rw [total_degree_neg]
+    (a - b).totalDegree ≤ max a.totalDegree b.totalDegree := by classical
 #align mv_polynomial.total_degree_sub MvPolynomial.totalDegree_sub
 -/

2f5b500a

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,7 +3,7 @@ Copyright (c) 2017 Johannes Hölzl. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Johan Commelin, Mario Carneiro
 -/
-import Mathbin.Data.MvPolynomial.Variables
+import Data.MvPolynomial.Variables
 
 #align_import data.mv_polynomial.comm_ring from "leanprover-community/mathlib"@"2f5b500a507264de86d666a5f87ddb976e2d8de4"

2f5b500a

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,14 +2,11 @@
 Copyright (c) 2017 Johannes Hölzl. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Johan Commelin, Mario Carneiro
-
-! This file was ported from Lean 3 source module data.mv_polynomial.comm_ring
-! leanprover-community/mathlib commit 2f5b500a507264de86d666a5f87ddb976e2d8de4
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Data.MvPolynomial.Variables
 
+#align_import data.mv_polynomial.comm_ring from "leanprover-community/mathlib"@"2f5b500a507264de86d666a5f87ddb976e2d8de4"
+
 /-!
 # Multivariate polynomials over a ring

2f5b500a

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -66,48 +66,64 @@ instance : CommRing (MvPolynomial σ R) :=
 
 variable (σ a a')
 
+#print MvPolynomial.C_sub /-
 @[simp]
 theorem C_sub : (C (a - a') : MvPolynomial σ R) = C a - C a' :=
   RingHom.map_sub _ _ _
 #align mv_polynomial.C_sub MvPolynomial.C_sub
+-/
 
+#print MvPolynomial.C_neg /-
 @[simp]
 theorem C_neg : (C (-a) : MvPolynomial σ R) = -C a :=
   RingHom.map_neg _ _
 #align mv_polynomial.C_neg MvPolynomial.C_neg
+-/
 
+#print MvPolynomial.coeff_neg /-
 @[simp]
 theorem coeff_neg (m : σ →₀ ℕ) (p : MvPolynomial σ R) : coeff m (-p) = -coeff m p :=
   Finsupp.neg_apply _ _
 #align mv_polynomial.coeff_neg MvPolynomial.coeff_neg
+-/
 
+#print MvPolynomial.coeff_sub /-
 @[simp]
 theorem coeff_sub (m : σ →₀ ℕ) (p q : MvPolynomial σ R) : coeff m (p - q) = coeff m p - coeff m q :=
   Finsupp.sub_apply _ _ _
 #align mv_polynomial.coeff_sub MvPolynomial.coeff_sub
+-/
 
+#print MvPolynomial.support_neg /-
 @[simp]
 theorem support_neg : (-p).support = p.support :=
   Finsupp.support_neg p
 #align mv_polynomial.support_neg MvPolynomial.support_neg
+-/
 
+#print MvPolynomial.support_sub /-
 theorem support_sub [DecidableEq σ] (p q : MvPolynomial σ R) :
     (p - q).support ⊆ p.support ∪ q.support :=
   Finsupp.support_sub
 #align mv_polynomial.support_sub MvPolynomial.support_sub
+-/
 
 variable {σ} (p)
 
 section Degrees
 
+#print MvPolynomial.degrees_neg /-
 theorem degrees_neg (p : MvPolynomial σ R) : (-p).degrees = p.degrees := by
   rw [degrees, support_neg] <;> rfl
 #align mv_polynomial.degrees_neg MvPolynomial.degrees_neg
+-/
 
+#print MvPolynomial.degrees_sub /-
 theorem degrees_sub [DecidableEq σ] (p q : MvPolynomial σ R) :
     (p - q).degrees ≤ p.degrees ⊔ q.degrees := by
   classical simpa only [sub_eq_add_neg, degrees_neg] using degrees_add p (-q)
 #align mv_polynomial.degrees_sub MvPolynomial.degrees_sub
+-/
 
 end Degrees
 
@@ -115,16 +131,21 @@ section Vars
 
 variable (p q)
 
+#print MvPolynomial.vars_neg /-
 @[simp]
 theorem vars_neg : (-p).vars = p.vars := by simp [vars, degrees_neg]
 #align mv_polynomial.vars_neg MvPolynomial.vars_neg
+-/
 
+#print MvPolynomial.vars_sub_subset /-
 theorem vars_sub_subset [DecidableEq σ] : (p - q).vars ⊆ p.vars ∪ q.vars := by
   convert vars_add_subset p (-q) using 2 <;> simp [sub_eq_add_neg]
 #align mv_polynomial.vars_sub_subset MvPolynomial.vars_sub_subset
+-/
 
 variable {p q}
 
+#print MvPolynomial.vars_sub_of_disjoint /-
 @[simp]
 theorem vars_sub_of_disjoint [DecidableEq σ] (hpq : Disjoint p.vars q.vars) :
     (p - q).vars = p.vars ∪ q.vars :=
@@ -132,6 +153,7 @@ theorem vars_sub_of_disjoint [DecidableEq σ] (hpq : Disjoint p.vars q.vars) :
   rw [← vars_neg q] at hpq 
   convert vars_add_of_disjoint hpq using 2 <;> simp [sub_eq_add_neg]
 #align mv_polynomial.vars_sub_of_disjoint MvPolynomial.vars_sub_of_disjoint
+-/
 
 end Vars
 
@@ -141,20 +163,27 @@ variable [CommRing S]
 
 variable (f : R →+* S) (g : σ → S)
 
+#print MvPolynomial.eval₂_sub /-
 @[simp]
 theorem eval₂_sub : (p - q).eval₂ f g = p.eval₂ f g - q.eval₂ f g :=
   (eval₂Hom f g).map_sub _ _
 #align mv_polynomial.eval₂_sub MvPolynomial.eval₂_sub
+-/
 
+#print MvPolynomial.eval₂_neg /-
 @[simp]
 theorem eval₂_neg : (-p).eval₂ f g = -p.eval₂ f g :=
   (eval₂Hom f g).map_neg _
 #align mv_polynomial.eval₂_neg MvPolynomial.eval₂_neg
+-/
 
+#print MvPolynomial.hom_C /-
 theorem hom_C (f : MvPolynomial σ ℤ →+* S) (n : ℤ) : f (C n) = (n : S) :=
   eq_intCast (f.comp C) n
 #align mv_polynomial.hom_C MvPolynomial.hom_C
+-/
 
+#print MvPolynomial.eval₂Hom_X /-
 /-- A ring homomorphism f : Z[X_1, X_2, ...] → R
 is determined by the evaluations f(X_1), f(X_2), ... -/
 @[simp]
@@ -164,7 +193,9 @@ theorem eval₂Hom_X {R : Type u} (c : ℤ →+* S) (f : MvPolynomial R ℤ →+
     (fun p q hp hq => by rw [eval₂_add, hp, hq]; exact (f.map_add _ _).symm) fun p n hp => by
     rw [eval₂_mul, eval₂_X, hp]; exact (f.map_mul _ _).symm
 #align mv_polynomial.eval₂_hom_X MvPolynomial.eval₂Hom_X
+-/
 
+#print MvPolynomial.homEquiv /-
 /-- Ring homomorphisms out of integer polynomials on a type `σ` are the same as
 functions out of the type `σ`, -/
 def homEquiv : (MvPolynomial σ ℤ →+* S) ≃ (σ → S)
@@ -174,11 +205,13 @@ def homEquiv : (MvPolynomial σ ℤ →+* S) ≃ (σ → S)
   left_inv f := RingHom.ext <| eval₂Hom_X _ _
   right_inv f := funext fun x => by simp only [coe_eval₂_hom, Function.comp_apply, eval₂_X]
 #align mv_polynomial.hom_equiv MvPolynomial.homEquiv
+-/
 
 end Eval₂
 
 section DegreeOf
 
+#print MvPolynomial.degreeOf_sub_lt /-
 theorem degreeOf_sub_lt {x : σ} {f g : MvPolynomial σ R} {k : ℕ} (h : 0 < k)
     (hf : ∀ m : σ →₀ ℕ, m ∈ f.support → k ≤ m x → coeff m f = coeff m g)
     (hg : ∀ m : σ →₀ ℕ, m ∈ g.support → k ≤ m x → coeff m f = coeff m g) : degreeOf x (f - g) < k :=
@@ -194,16 +227,20 @@ theorem degreeOf_sub_lt {x : σ} {f g : MvPolynomial σ R} {k : ℕ} (h : 0 < k)
   · exact hm (hf m cf hc)
   · exact hm (hg m cg hc)
 #align mv_polynomial.degree_of_sub_lt MvPolynomial.degreeOf_sub_lt
+-/
 
 end DegreeOf
 
 section TotalDegree
 
+#print MvPolynomial.totalDegree_neg /-
 @[simp]
 theorem totalDegree_neg (a : MvPolynomial σ R) : (-a).totalDegree = a.totalDegree := by
   simp only [total_degree, support_neg]
 #align mv_polynomial.total_degree_neg MvPolynomial.totalDegree_neg
+-/
 
+#print MvPolynomial.totalDegree_sub /-
 theorem totalDegree_sub (a b : MvPolynomial σ R) :
     (a - b).totalDegree ≤ max a.totalDegree b.totalDegree := by
   classical calc
@@ -211,6 +248,7 @@ theorem totalDegree_sub (a b : MvPolynomial σ R) :
     _ ≤ max a.total_degree (-b).totalDegree := (total_degree_add a (-b))
     _ = max a.total_degree b.total_degree := by rw [total_degree_neg]
 #align mv_polynomial.total_degree_sub MvPolynomial.totalDegree_sub
+-/
 
 end TotalDegree

2f5b500a

bump to nightly-2023-06-09-07

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

16afdc39

Diff

@@ -210,7 +210,6 @@ theorem totalDegree_sub (a b : MvPolynomial σ R) :
     (a - b).totalDegree = (a + -b).totalDegree := by rw [sub_eq_add_neg]
     _ ≤ max a.total_degree (-b).totalDegree := (total_degree_add a (-b))
     _ = max a.total_degree b.total_degree := by rw [total_degree_neg]
-    
 #align mv_polynomial.total_degree_sub MvPolynomial.totalDegree_sub
 
 end TotalDegree

2f5b500a

bump to nightly-2023-06-04-18

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

3fb4268b

Diff

@@ -184,15 +184,15 @@ theorem degreeOf_sub_lt {x : σ} {f g : MvPolynomial σ R} {k : ℕ} (h : 0 < k)
     (hg : ∀ m : σ →₀ ℕ, m ∈ g.support → k ≤ m x → coeff m f = coeff m g) : degreeOf x (f - g) < k :=
   by
   classical
-    rw [degree_of_lt_iff h]
-    intro m hm
-    by_contra hc
-    simp only [not_lt] at hc 
-    have h := support_sub σ f g hm
-    simp only [mem_support_iff, Ne.def, coeff_sub, sub_eq_zero] at hm 
-    cases' Finset.mem_union.1 h with cf cg
-    · exact hm (hf m cf hc)
-    · exact hm (hg m cg hc)
+  rw [degree_of_lt_iff h]
+  intro m hm
+  by_contra hc
+  simp only [not_lt] at hc 
+  have h := support_sub σ f g hm
+  simp only [mem_support_iff, Ne.def, coeff_sub, sub_eq_zero] at hm 
+  cases' Finset.mem_union.1 h with cf cg
+  · exact hm (hf m cf hc)
+  · exact hm (hg m cg hc)
 #align mv_polynomial.degree_of_sub_lt MvPolynomial.degreeOf_sub_lt
 
 end DegreeOf
@@ -207,10 +207,10 @@ theorem totalDegree_neg (a : MvPolynomial σ R) : (-a).totalDegree = a.totalDegr
 theorem totalDegree_sub (a b : MvPolynomial σ R) :
     (a - b).totalDegree ≤ max a.totalDegree b.totalDegree := by
   classical calc
-      (a - b).totalDegree = (a + -b).totalDegree := by rw [sub_eq_add_neg]
-      _ ≤ max a.total_degree (-b).totalDegree := (total_degree_add a (-b))
-      _ = max a.total_degree b.total_degree := by rw [total_degree_neg]
-      
+    (a - b).totalDegree = (a + -b).totalDegree := by rw [sub_eq_add_neg]
+    _ ≤ max a.total_degree (-b).totalDegree := (total_degree_add a (-b))
+    _ = max a.total_degree b.total_degree := by rw [total_degree_neg]
+    
 #align mv_polynomial.total_degree_sub MvPolynomial.totalDegree_sub
 
 end TotalDegree

2f5b500a

bump to nightly-2023-06-01-16

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

b9c87c70

Diff

@@ -129,7 +129,7 @@ variable {p q}
 theorem vars_sub_of_disjoint [DecidableEq σ] (hpq : Disjoint p.vars q.vars) :
     (p - q).vars = p.vars ∪ q.vars :=
   by
-  rw [← vars_neg q] at hpq
+  rw [← vars_neg q] at hpq 
   convert vars_add_of_disjoint hpq using 2 <;> simp [sub_eq_add_neg]
 #align mv_polynomial.vars_sub_of_disjoint MvPolynomial.vars_sub_of_disjoint
 
@@ -187,9 +187,9 @@ theorem degreeOf_sub_lt {x : σ} {f g : MvPolynomial σ R} {k : ℕ} (h : 0 < k)
     rw [degree_of_lt_iff h]
     intro m hm
     by_contra hc
-    simp only [not_lt] at hc
+    simp only [not_lt] at hc 
     have h := support_sub σ f g hm
-    simp only [mem_support_iff, Ne.def, coeff_sub, sub_eq_zero] at hm
+    simp only [mem_support_iff, Ne.def, coeff_sub, sub_eq_zero] at hm 
     cases' Finset.mem_union.1 h with cf cg
     · exact hm (hf m cf hc)
     · exact hm (hg m cg hc)

2f5b500a

bump to nightly-2023-05-28-18

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

8d353152

Diff

@@ -45,7 +45,7 @@ noncomputable section
 
 open Set Function Finsupp AddMonoidAlgebra
 
-open BigOperators
+open scoped BigOperators
 
 universe u v

2f5b500a

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -66,61 +66,31 @@ instance : CommRing (MvPolynomial σ R) :=
 
 variable (σ a a')
 
-/- warning: mv_polynomial.C_sub -> MvPolynomial.C_sub is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_sub MvPolynomial.C_subₓ'. -/
 @[simp]
 theorem C_sub : (C (a - a') : MvPolynomial σ R) = C a - C a' :=
   RingHom.map_sub _ _ _
 #align mv_polynomial.C_sub MvPolynomial.C_sub
 
-/- warning: mv_polynomial.C_neg -> MvPolynomial.C_neg is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_neg MvPolynomial.C_negₓ'. -/
 @[simp]
 theorem C_neg : (C (-a) : MvPolynomial σ R) = -C a :=
   RingHom.map_neg _ _
 #align mv_polynomial.C_neg MvPolynomial.C_neg
 
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 @[simp]
 theorem coeff_neg (m : σ →₀ ℕ) (p : MvPolynomial σ R) : coeff m (-p) = -coeff m p :=
   Finsupp.neg_apply _ _
 #align mv_polynomial.coeff_neg MvPolynomial.coeff_neg
 
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 @[simp]
 theorem coeff_sub (m : σ →₀ ℕ) (p q : MvPolynomial σ R) : coeff m (p - q) = coeff m p - coeff m q :=
   Finsupp.sub_apply _ _ _
 #align mv_polynomial.coeff_sub MvPolynomial.coeff_sub
 
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-Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_neg MvPolynomial.support_negₓ'. -/
 @[simp]
 theorem support_neg : (-p).support = p.support :=
   Finsupp.support_neg p
 #align mv_polynomial.support_neg MvPolynomial.support_neg
 
-/- warning: mv_polynomial.support_sub -> MvPolynomial.support_sub is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_sub MvPolynomial.support_subₓ'. -/
 theorem support_sub [DecidableEq σ] (p q : MvPolynomial σ R) :
     (p - q).support ⊆ p.support ∪ q.support :=
   Finsupp.support_sub
@@ -130,22 +100,10 @@ variable {σ} (p)
 
 section Degrees
 
-/- warning: mv_polynomial.degrees_neg -> MvPolynomial.degrees_neg is a dubious translation:
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 theorem degrees_neg (p : MvPolynomial σ R) : (-p).degrees = p.degrees := by
   rw [degrees, support_neg] <;> rfl
 #align mv_polynomial.degrees_neg MvPolynomial.degrees_neg
 
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 theorem degrees_sub [DecidableEq σ] (p q : MvPolynomial σ R) :
     (p - q).degrees ≤ p.degrees ⊔ q.degrees := by
   classical simpa only [sub_eq_add_neg, degrees_neg] using degrees_add p (-q)
@@ -157,34 +115,16 @@ section Vars
 
 variable (p q)
 
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 @[simp]
 theorem vars_neg : (-p).vars = p.vars := by simp [vars, degrees_neg]
 #align mv_polynomial.vars_neg MvPolynomial.vars_neg
 
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 theorem vars_sub_subset [DecidableEq σ] : (p - q).vars ⊆ p.vars ∪ q.vars := by
   convert vars_add_subset p (-q) using 2 <;> simp [sub_eq_add_neg]
 #align mv_polynomial.vars_sub_subset MvPolynomial.vars_sub_subset
 
 variable {p q}
 
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 @[simp]
 theorem vars_sub_of_disjoint [DecidableEq σ] (hpq : Disjoint p.vars q.vars) :
     (p - q).vars = p.vars ∪ q.vars :=
@@ -201,38 +141,20 @@ variable [CommRing S]
 
 variable (f : R →+* S) (g : σ → S)
 
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 @[simp]
 theorem eval₂_sub : (p - q).eval₂ f g = p.eval₂ f g - q.eval₂ f g :=
   (eval₂Hom f g).map_sub _ _
 #align mv_polynomial.eval₂_sub MvPolynomial.eval₂_sub
 
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 @[simp]
 theorem eval₂_neg : (-p).eval₂ f g = -p.eval₂ f g :=
   (eval₂Hom f g).map_neg _
 #align mv_polynomial.eval₂_neg MvPolynomial.eval₂_neg
 
-/- warning: mv_polynomial.hom_C -> MvPolynomial.hom_C is a dubious translation:
-<too large>
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 theorem hom_C (f : MvPolynomial σ ℤ →+* S) (n : ℤ) : f (C n) = (n : S) :=
   eq_intCast (f.comp C) n
 #align mv_polynomial.hom_C MvPolynomial.hom_C
 
-/- warning: mv_polynomial.eval₂_hom_X -> MvPolynomial.eval₂Hom_X is a dubious translation:
-<too large>
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 /-- A ring homomorphism f : Z[X_1, X_2, ...] → R
 is determined by the evaluations f(X_1), f(X_2), ... -/
 @[simp]
@@ -243,12 +165,6 @@ theorem eval₂Hom_X {R : Type u} (c : ℤ →+* S) (f : MvPolynomial R ℤ →+
     rw [eval₂_mul, eval₂_X, hp]; exact (f.map_mul _ _).symm
 #align mv_polynomial.eval₂_hom_X MvPolynomial.eval₂Hom_X
 
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 /-- Ring homomorphisms out of integer polynomials on a type `σ` are the same as
 functions out of the type `σ`, -/
 def homEquiv : (MvPolynomial σ ℤ →+* S) ≃ (σ → S)
@@ -263,12 +179,6 @@ end Eval₂
 
 section DegreeOf
 
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 theorem degreeOf_sub_lt {x : σ} {f g : MvPolynomial σ R} {k : ℕ} (h : 0 < k)
     (hf : ∀ m : σ →₀ ℕ, m ∈ f.support → k ≤ m x → coeff m f = coeff m g)
     (hg : ∀ m : σ →₀ ℕ, m ∈ g.support → k ≤ m x → coeff m f = coeff m g) : degreeOf x (f - g) < k :=
@@ -289,23 +199,11 @@ end DegreeOf
 
 section TotalDegree
 
-/- warning: mv_polynomial.total_degree_neg -> MvPolynomial.totalDegree_neg is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align mv_polynomial.total_degree_neg MvPolynomial.totalDegree_negₓ'. -/
 @[simp]
 theorem totalDegree_neg (a : MvPolynomial σ R) : (-a).totalDegree = a.totalDegree := by
   simp only [total_degree, support_neg]
 #align mv_polynomial.total_degree_neg MvPolynomial.totalDegree_neg
 
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 theorem totalDegree_sub (a b : MvPolynomial σ R) :
     (a - b).totalDegree ≤ max a.totalDegree b.totalDegree := by
   classical calc

2f5b500a

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -238,16 +238,9 @@ is determined by the evaluations f(X_1), f(X_2), ... -/
 @[simp]
 theorem eval₂Hom_X {R : Type u} (c : ℤ →+* S) (f : MvPolynomial R ℤ →+* S) (x : MvPolynomial R ℤ) :
     eval₂ c (f ∘ X) x = f x :=
-  MvPolynomial.induction_on x
-    (fun n => by
-      rw [hom_C f, eval₂_C]
-      exact eq_intCast c n)
-    (fun p q hp hq => by
-      rw [eval₂_add, hp, hq]
-      exact (f.map_add _ _).symm)
-    fun p n hp => by
-    rw [eval₂_mul, eval₂_X, hp]
-    exact (f.map_mul _ _).symm
+  MvPolynomial.induction_on x (fun n => by rw [hom_C f, eval₂_C]; exact eq_intCast c n)
+    (fun p q hp hq => by rw [eval₂_add, hp, hq]; exact (f.map_add _ _).symm) fun p n hp => by
+    rw [eval₂_mul, eval₂_X, hp]; exact (f.map_mul _ _).symm
 #align mv_polynomial.eval₂_hom_X MvPolynomial.eval₂Hom_X
 
 /- warning: mv_polynomial.hom_equiv -> MvPolynomial.homEquiv is a dubious translation:

2f5b500a

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -67,10 +67,7 @@ instance : CommRing (MvPolynomial σ R) :=
 variable (σ a a')
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_sub MvPolynomial.C_subₓ'. -/
 @[simp]
 theorem C_sub : (C (a - a') : MvPolynomial σ R) = C a - C a' :=
@@ -78,10 +75,7 @@ theorem C_sub : (C (a - a') : MvPolynomial σ R) = C a - C a' :=
 #align mv_polynomial.C_sub MvPolynomial.C_sub
 
 /- warning: mv_polynomial.C_neg -> MvPolynomial.C_neg is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_neg MvPolynomial.C_negₓ'. -/
 @[simp]
 theorem C_neg : (C (-a) : MvPolynomial σ R) = -C a :=
@@ -230,20 +224,14 @@ theorem eval₂_neg : (-p).eval₂ f g = -p.eval₂ f g :=
 #align mv_polynomial.eval₂_neg MvPolynomial.eval₂_neg
 
 /- warning: mv_polynomial.hom_C -> MvPolynomial.hom_C is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.hom_C MvPolynomial.hom_Cₓ'. -/
 theorem hom_C (f : MvPolynomial σ ℤ →+* S) (n : ℤ) : f (C n) = (n : S) :=
   eq_intCast (f.comp C) n
 #align mv_polynomial.hom_C MvPolynomial.hom_C
 
 /- warning: mv_polynomial.eval₂_hom_X -> MvPolynomial.eval₂Hom_X is a dubious translation:
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-but is expected to have type
-  forall {S : Type.{u2}} [_inst_2 : CommRing.{u2} S] {R : Type.{u1}} (c : RingHom.{0, u2} Int S (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (f : RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (x : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt), Eq.{succ u2} S (MvPolynomial.eval₂.{0, u2, u1} Int S R Int.instCommSemiringInt (CommRing.toCommSemiring.{u2} S _inst_2) c (Function.comp.{succ u1, succ u1, succ u2} R (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (FunLike.coe.{max (succ 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(MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2))) (RingHom.instRingHomClassRingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2))))))) f x)
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_X MvPolynomial.eval₂Hom_Xₓ'. -/
 /-- A ring homomorphism f : Z[X_1, X_2, ...] → R
 is determined by the evaluations f(X_1), f(X_2), ... -/

2f5b500a

bump to nightly-2023-05-22-01

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

a4206c98

Diff

@@ -125,7 +125,7 @@ theorem support_neg : (-p).support = p.support :=
 lean 3 declaration is
   forall {R : Type.{u1}} (σ : Type.{u2}) [_inst_1 : CommRing.{u1} R] [_inst_2 : DecidableEq.{succ u2} σ] (p : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (q : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)), HasSubset.Subset.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroupWithOne.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toAddCommGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1)))))))) p q)) (Union.union.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasUnion.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_2 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b)) (MvPolynomial.support.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) p) (MvPolynomial.support.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) q))
 but is expected to have type
-  forall {R : Type.{u2}} (σ : Type.{u1}) [_inst_1 : CommRing.{u2} R] (_inst_2 : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (p : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)), HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1)))) _inst_2 p)) (Union.union.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instUnionFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u1} σ a b)) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b)) (MvPolynomial.support.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) _inst_2) (MvPolynomial.support.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) p))
+  forall {R : Type.{u2}} (σ : Type.{u1}) [_inst_1 : CommRing.{u2} R] [_inst_2 : DecidableEq.{succ u1} σ] (p : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (q : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)), HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1)))) p q)) (Union.union.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instUnionFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_2 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b)) (MvPolynomial.support.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) p) (MvPolynomial.support.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) q))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_sub MvPolynomial.support_subₓ'. -/
 theorem support_sub [DecidableEq σ] (p q : MvPolynomial σ R) :
     (p - q).support ⊆ p.support ∪ q.support :=
@@ -150,7 +150,7 @@ theorem degrees_neg (p : MvPolynomial σ R) : (-p).degrees = p.degrees := by
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : DecidableEq.{succ u2} σ] (p : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (q : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)), LE.le.{u2} (Multiset.{u2} σ) (Preorder.toHasLe.{u2} (Multiset.{u2} σ) (PartialOrder.toPreorder.{u2} (Multiset.{u2} σ) (Multiset.partialOrder.{u2} σ))) (MvPolynomial.degrees.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroupWithOne.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toAddCommGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1)))))))) p q)) (Sup.sup.{u2} (Multiset.{u2} σ) (SemilatticeSup.toHasSup.{u2} (Multiset.{u2} σ) (Lattice.toSemilatticeSup.{u2} (Multiset.{u2} σ) (Multiset.lattice.{u2} σ (fun (a : σ) (b : σ) => _inst_2 a b)))) (MvPolynomial.degrees.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) p) (MvPolynomial.degrees.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) q))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommRing.{u2} R] (_inst_2 : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (p : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)), LE.le.{u1} (Multiset.{u1} σ) (Preorder.toLE.{u1} (Multiset.{u1} σ) (PartialOrder.toPreorder.{u1} (Multiset.{u1} σ) (Multiset.instPartialOrderMultiset.{u1} σ))) (MvPolynomial.degrees.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1)))) _inst_2 p)) (Sup.sup.{u1} (Multiset.{u1} σ) (SemilatticeSup.toSup.{u1} (Multiset.{u1} σ) (Lattice.toSemilatticeSup.{u1} (Multiset.{u1} σ) (Multiset.instLatticeMultiset.{u1} σ (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u1} σ a b))))) (MvPolynomial.degrees.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) _inst_2) (MvPolynomial.degrees.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) p))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommRing.{u2} R] [_inst_2 : DecidableEq.{succ u1} σ] (p : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (q : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)), LE.le.{u1} (Multiset.{u1} σ) (Preorder.toLE.{u1} (Multiset.{u1} σ) (PartialOrder.toPreorder.{u1} (Multiset.{u1} σ) (Multiset.instPartialOrderMultiset.{u1} σ))) (MvPolynomial.degrees.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1)))) p q)) (Sup.sup.{u1} (Multiset.{u1} σ) (SemilatticeSup.toSup.{u1} (Multiset.{u1} σ) (Lattice.toSemilatticeSup.{u1} (Multiset.{u1} σ) (Multiset.instLatticeMultiset.{u1} σ (fun (a : σ) (b : σ) => _inst_2 a b)))) (MvPolynomial.degrees.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) p) (MvPolynomial.degrees.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) q))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.degrees_sub MvPolynomial.degrees_subₓ'. -/
 theorem degrees_sub [DecidableEq σ] (p q : MvPolynomial σ R) :
     (p - q).degrees ≤ p.degrees ⊔ q.degrees := by
@@ -177,7 +177,7 @@ theorem vars_neg : (-p).vars = p.vars := by simp [vars, degrees_neg]
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommRing.{u1} R] (p : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (q : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) [_inst_2 : DecidableEq.{succ u2} σ], HasSubset.Subset.{u2} (Finset.{u2} σ) (Finset.hasSubset.{u2} σ) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroupWithOne.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toAddCommGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1)))))))) p q)) (Union.union.{u2} (Finset.{u2} σ) (Finset.hasUnion.{u2} σ (fun (a : σ) (b : σ) => _inst_2 a b)) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) p) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) q))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommRing.{u2} R] (p : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) {q : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)}, HasSubset.Subset.{u1} (Finset.{u1} σ) (Finset.instHasSubsetFinset.{u1} σ) (MvPolynomial.vars.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1)))) p q)) (Union.union.{u1} (Finset.{u1} σ) (Finset.instUnionFinset.{u1} σ (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u1} σ a b))) (MvPolynomial.vars.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) p) (MvPolynomial.vars.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) q))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommRing.{u2} R] (p : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) {q : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)} [_inst_2 : DecidableEq.{succ u1} σ], HasSubset.Subset.{u1} (Finset.{u1} σ) (Finset.instHasSubsetFinset.{u1} σ) (MvPolynomial.vars.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1)))) p q)) (Union.union.{u1} (Finset.{u1} σ) (Finset.instUnionFinset.{u1} σ (fun (a : σ) (b : σ) => _inst_2 a b)) (MvPolynomial.vars.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) p) (MvPolynomial.vars.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) q))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.vars_sub_subset MvPolynomial.vars_sub_subsetₓ'. -/
 theorem vars_sub_subset [DecidableEq σ] : (p - q).vars ⊆ p.vars ∪ q.vars := by
   convert vars_add_subset p (-q) using 2 <;> simp [sub_eq_add_neg]
@@ -189,7 +189,7 @@ variable {p q}
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommRing.{u1} R] {p : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)} {q : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)} [_inst_2 : DecidableEq.{succ u2} σ], (Disjoint.{u2} (Finset.{u2} σ) (Finset.partialOrder.{u2} σ) (Finset.orderBot.{u2} σ) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) p) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) q)) -> (Eq.{succ u2} (Finset.{u2} σ) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroupWithOne.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toAddCommGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1)))))))) p q)) (Union.union.{u2} (Finset.{u2} σ) (Finset.hasUnion.{u2} σ (fun (a : σ) (b : σ) => _inst_2 a b)) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) p) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) q)))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommRing.{u2} R] (p : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) {q : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)}, (Disjoint.{u1} (Finset.{u1} σ) (Finset.partialOrder.{u1} σ) (Finset.instOrderBotFinsetToLEToPreorderPartialOrder.{u1} σ) (MvPolynomial.vars.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) p) (MvPolynomial.vars.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) q)) -> (Eq.{succ u1} (Finset.{u1} σ) (MvPolynomial.vars.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1)))) p q)) (Union.union.{u1} (Finset.{u1} σ) (Finset.instUnionFinset.{u1} σ (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u1} σ a b))) (MvPolynomial.vars.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) p) (MvPolynomial.vars.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) q)))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommRing.{u2} R] (p : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) {q : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)} [_inst_2 : DecidableEq.{succ u1} σ], (Disjoint.{u1} (Finset.{u1} σ) (Finset.partialOrder.{u1} σ) (Finset.instOrderBotFinsetToLEToPreorderPartialOrder.{u1} σ) (MvPolynomial.vars.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) p) (MvPolynomial.vars.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) q)) -> (Eq.{succ u1} (Finset.{u1} σ) (MvPolynomial.vars.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1)))) p q)) (Union.union.{u1} (Finset.{u1} σ) (Finset.instUnionFinset.{u1} σ (fun (a : σ) (b : σ) => _inst_2 a b)) (MvPolynomial.vars.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) p) (MvPolynomial.vars.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) q)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.vars_sub_of_disjoint MvPolynomial.vars_sub_of_disjointₓ'. -/
 @[simp]
 theorem vars_sub_of_disjoint [DecidableEq σ] (hpq : Disjoint p.vars q.vars) :

2f5b500a

bump to nightly-2023-05-19-16

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

a31df521

Diff

@@ -70,7 +70,7 @@ variable (σ a a')
 lean 3 declaration is
   forall {R : Type.{u1}} (σ : Type.{u2}) (a : R) (a' : R) [_inst_1 : CommRing.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) => R -> (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) (MvPolynomial.C.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1)) (HSub.hSub.{u1, u1, u1} R R R (instHSub.{u1} R (SubNegMonoid.toHasSub.{u1} R (AddGroup.toSubNegMonoid.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (CommRing.toRing.{u1} R _inst_1))))))) a a')) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroupWithOne.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toAddCommGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1)))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) => R -> (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) (MvPolynomial.C.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1)) a) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) => R -> (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) (MvPolynomial.C.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1)) a'))
 but is expected to have type
-  forall {R : Type.{u2}} (σ : Type.{u1}) (a : R) (a' : R) [_inst_1 : CommRing.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (HSub.hSub.{u2, u2, u2} R R R (instHSub.{u2} R (Ring.toSub.{u2} R (CommRing.toRing.{u2} R _inst_1))) a a')) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) 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R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))))))) (MvPolynomial.C.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)) (HSub.hSub.{u2, u2, u2} R R R (instHSub.{u2} R (Ring.toSub.{u2} R (CommRing.toRing.{u2} R _inst_1))) a a')) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) a') ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (HSub.hSub.{u2, u2, u2} R R R (instHSub.{u2} R (Ring.toSub.{u2} R (CommRing.toRing.{u2} R _inst_1))) a a')) (instHSub.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) a) (Ring.toSub.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) a) (CommRing.toRing.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) a) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1)))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))))))) (MvPolynomial.C.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))))))) (MvPolynomial.C.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)) a'))
+  forall {R : Type.{u2}} (σ : Type.{u1}) (a : R) (a' : R) [_inst_1 : CommRing.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (HSub.hSub.{u2, u2, u2} R R R (instHSub.{u2} R (Ring.toSub.{u2} R (CommRing.toRing.{u2} R _inst_1))) a a')) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))))))) (MvPolynomial.C.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)) (HSub.hSub.{u2, u2, u2} R R R (instHSub.{u2} R (Ring.toSub.{u2} R (CommRing.toRing.{u2} R _inst_1))) a a')) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) a') ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (HSub.hSub.{u2, u2, u2} R R R (instHSub.{u2} R (Ring.toSub.{u2} R (CommRing.toRing.{u2} R _inst_1))) a a')) (instHSub.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) a) (Ring.toSub.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) a) (CommRing.toRing.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) a) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1)))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))))))) (MvPolynomial.C.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))))))) (MvPolynomial.C.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)) a'))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_sub MvPolynomial.C_subₓ'. -/
 @[simp]
 theorem C_sub : (C (a - a') : MvPolynomial σ R) = C a - C a' :=
@@ -81,7 +81,7 @@ theorem C_sub : (C (a - a') : MvPolynomial σ R) = C a - C a' :=
 lean 3 declaration is
   forall {R : Type.{u1}} (σ : Type.{u2}) (a : R) [_inst_1 : CommRing.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) => R -> (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) (MvPolynomial.C.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1)) (Neg.neg.{u1} R (SubNegMonoid.toHasNeg.{u1} R (AddGroup.toSubNegMonoid.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) a)) (Neg.neg.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasNeg.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroupWithOne.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toAddCommGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) => R -> (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) (MvPolynomial.C.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1)) a))
 but is expected to have type
-  forall {R : Type.{u2}} (σ : Type.{u1}) (a : R) [_inst_1 : CommRing.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Neg.neg.{u2} R (Ring.toNeg.{u2} R (CommRing.toRing.{u2} R _inst_1)) a)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))))))) (MvPolynomial.C.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)) (Neg.neg.{u2} R (Ring.toNeg.{u2} R (CommRing.toRing.{u2} R _inst_1)) a)) (Neg.neg.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) a) (Ring.toNeg.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) a) (CommRing.toRing.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) a) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))))))) (MvPolynomial.C.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)) a))
+  forall {R : Type.{u2}} (σ : Type.{u1}) (a : R) [_inst_1 : CommRing.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Neg.neg.{u2} R (Ring.toNeg.{u2} R (CommRing.toRing.{u2} R _inst_1)) a)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))))))) (MvPolynomial.C.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)) (Neg.neg.{u2} R (Ring.toNeg.{u2} R (CommRing.toRing.{u2} R _inst_1)) a)) (Neg.neg.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) a) (Ring.toNeg.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) a) (CommRing.toRing.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) a) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))))))) (MvPolynomial.C.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)) a))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_neg MvPolynomial.C_negₓ'. -/
 @[simp]
 theorem C_neg : (C (-a) : MvPolynomial σ R) = -C a :=
@@ -233,7 +233,7 @@ theorem eval₂_neg : (-p).eval₂ f g = -p.eval₂ f g :=
 lean 3 declaration is
   forall {S : Type.{u1}} {σ : Type.{u2}} [_inst_2 : CommRing.{u1} S] (f : RingHom.{u2, u1} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) S (NonAssocRing.toNonAssocSemiring.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (Ring.toNonAssocRing.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (CommRing.toRing.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (MvPolynomial.commRing.{0, u2} Int σ Int.commRing)))) (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S (CommRing.toRing.{u1} S _inst_2)))) (n : Int), Eq.{succ u1} S (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) S (NonAssocRing.toNonAssocSemiring.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (Ring.toNonAssocRing.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (CommRing.toRing.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (MvPolynomial.commRing.{0, u2} Int σ Int.commRing)))) (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S (CommRing.toRing.{u1} S _inst_2)))) (fun (_x : RingHom.{u2, u1} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) S (NonAssocRing.toNonAssocSemiring.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (Ring.toNonAssocRing.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (CommRing.toRing.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (MvPolynomial.commRing.{0, u2} Int σ Int.commRing)))) (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S (CommRing.toRing.{u1} S _inst_2)))) => (MvPolynomial.{u2, 0} σ Int Int.commSemiring) -> S) (RingHom.hasCoeToFun.{u2, u1} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) S (NonAssocRing.toNonAssocSemiring.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (Ring.toNonAssocRing.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (CommRing.toRing.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (MvPolynomial.commRing.{0, u2} Int σ Int.commRing)))) (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S (CommRing.toRing.{u1} S _inst_2)))) f (coeFn.{succ u2, succ u2} (RingHom.{0, u2} Int (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.commSemiring)) (Semiring.toNonAssocSemiring.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (CommSemiring.toSemiring.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u2} Int σ Int.commSemiring)))) (fun (_x : RingHom.{0, u2} Int (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.commSemiring)) (Semiring.toNonAssocSemiring.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (CommSemiring.toSemiring.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u2} Int σ Int.commSemiring)))) => Int -> (MvPolynomial.{u2, 0} σ Int Int.commSemiring)) (RingHom.hasCoeToFun.{0, u2} Int (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.commSemiring)) (Semiring.toNonAssocSemiring.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (CommSemiring.toSemiring.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u2} Int σ Int.commSemiring)))) (MvPolynomial.C.{0, u2} Int σ Int.commSemiring) n)) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int S (HasLiftT.mk.{1, succ u1} Int S (CoeTCₓ.coe.{1, succ u1} Int S (Int.castCoe.{u1} S (AddGroupWithOne.toHasIntCast.{u1} S (AddCommGroupWithOne.toAddGroupWithOne.{u1} S (Ring.toAddCommGroupWithOne.{u1} S (CommRing.toRing.{u1} S _inst_2))))))) n)
 but is expected to have type
-  forall {S : Type.{u2}} {σ : Type.{u1}} [_inst_2 : CommRing.{u2} S] (f : RingHom.{u1, u2} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (n : Int), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) => S) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (fun (a : Int) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Int) => MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) a) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toMul.{0} Int (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)))) (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))) (RingHom.instRingHomClassRingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))))))) (MvPolynomial.C.{0, u1} Int σ Int.instCommSemiringInt) n)) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (fun (_x : MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) => S) _x) (MulHomClass.toFunLike.{max u2 u1, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2))) (RingHom.instRingHomClassRingHom.{u1, u2} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2))))))) f (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (fun (_x : Int) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Int) => MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) _x) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toMul.{0} Int (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)))) (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))) (RingHom.instRingHomClassRingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))))))) (MvPolynomial.C.{0, u1} Int σ Int.instCommSemiringInt) n)) (Int.cast.{u2} S (Ring.toIntCast.{u2} S (CommRing.toRing.{u2} S _inst_2)) n)
+  forall {S : Type.{u2}} {σ : Type.{u1}} [_inst_2 : CommRing.{u2} S] (f : RingHom.{u1, u2} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (n : Int), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) => S) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (fun (a : Int) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Int) => MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) a) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toMul.{0} Int (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)))) (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))) (RingHom.instRingHomClassRingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))))))) (MvPolynomial.C.{0, u1} Int σ Int.instCommSemiringInt) n)) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (fun (_x : MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) => S) _x) (MulHomClass.toFunLike.{max u2 u1, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2))) (RingHom.instRingHomClassRingHom.{u1, u2} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2))))))) f (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (fun (_x : Int) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Int) => MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) _x) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toMul.{0} Int (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)))) (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))) (RingHom.instRingHomClassRingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))))))) (MvPolynomial.C.{0, u1} Int σ Int.instCommSemiringInt) n)) (Int.cast.{u2} S (Ring.toIntCast.{u2} S (CommRing.toRing.{u2} S _inst_2)) n)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.hom_C MvPolynomial.hom_Cₓ'. -/
 theorem hom_C (f : MvPolynomial σ ℤ →+* S) (n : ℤ) : f (C n) = (n : S) :=
   eq_intCast (f.comp C) n
@@ -243,7 +243,7 @@ theorem hom_C (f : MvPolynomial σ ℤ →+* S) (n : ℤ) : f (C n) = (n : S) :=
 lean 3 declaration is
   forall {S : Type.{u2}} [_inst_2 : CommRing.{u2} S] {R : Type.{u1}} (c : RingHom.{0, u2} Int S (NonAssocRing.toNonAssocSemiring.{0} Int (Ring.toNonAssocRing.{0} Int Int.ring)) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (f : RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.commSemiring) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commRing.{0, u1} Int R Int.commRing)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (x : MvPolynomial.{u1, 0} R Int Int.commSemiring), Eq.{succ u2} S (MvPolynomial.eval₂.{0, u2, u1} Int S R Int.commSemiring (CommRing.toCommSemiring.{u2} S _inst_2) c (Function.comp.{succ u1, succ u1, succ u2} R (MvPolynomial.{u1, 0} R Int Int.commSemiring) S (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.commSemiring) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commRing.{0, u1} Int R Int.commRing)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (fun (_x : RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.commSemiring) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commRing.{0, u1} Int R Int.commRing)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) => (MvPolynomial.{u1, 0} R Int Int.commSemiring) -> S) (RingHom.hasCoeToFun.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.commSemiring) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commRing.{0, u1} Int R Int.commRing)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) f) (MvPolynomial.X.{0, u1} Int R Int.commSemiring)) x) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.commSemiring) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commRing.{0, u1} Int R Int.commRing)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (fun (_x : RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.commSemiring) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commRing.{0, u1} Int R Int.commRing)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) => (MvPolynomial.{u1, 0} R Int Int.commSemiring) -> S) (RingHom.hasCoeToFun.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.commSemiring) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commRing.{0, u1} Int R Int.commRing)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) f x)
 but is expected to have type
-  forall {S : Type.{u2}} [_inst_2 : CommRing.{u2} S] {R : Type.{u1}} (c : RingHom.{0, u2} Int S (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (f : RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (x : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt), Eq.{succ u2} S (MvPolynomial.eval₂.{0, u2, u1} Int S R Int.instCommSemiringInt (CommRing.toCommSemiring.{u2} S _inst_2) c (Function.comp.{succ u1, succ u1, succ u2} R (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (FunLike.coe.{max (succ 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(MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2))) (RingHom.instRingHomClassRingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2))))))) f) (MvPolynomial.X.{0, u1} Int R Int.instCommSemiringInt)) x) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (fun (_x : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => S) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2))) (RingHom.instRingHomClassRingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2))))))) f x)
+  forall {S : Type.{u2}} [_inst_2 : CommRing.{u2} S] {R : Type.{u1}} (c : RingHom.{0, u2} Int S (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (f : RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (x : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt), Eq.{succ u2} S (MvPolynomial.eval₂.{0, u2, u1} Int S R Int.instCommSemiringInt (CommRing.toCommSemiring.{u2} S _inst_2) c (Function.comp.{succ u1, succ u1, succ u2} R (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (fun (_x : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => S) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2))) (RingHom.instRingHomClassRingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2))))))) f) (MvPolynomial.X.{0, u1} Int R Int.instCommSemiringInt)) x) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (fun (_x : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => S) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2))) (RingHom.instRingHomClassRingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2))))))) f x)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_X MvPolynomial.eval₂Hom_Xₓ'. -/
 /-- A ring homomorphism f : Z[X_1, X_2, ...] → R
 is determined by the evaluations f(X_1), f(X_2), ... -/

2f5b500a

bump to nightly-2023-05-16-16

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

9cb92e8c

Diff

@@ -148,7 +148,7 @@ theorem degrees_neg (p : MvPolynomial σ R) : (-p).degrees = p.degrees := by
 
 /- warning: mv_polynomial.degrees_sub -> MvPolynomial.degrees_sub is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : DecidableEq.{succ u2} σ] (p : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (q : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)), LE.le.{u2} (Multiset.{u2} σ) (Preorder.toLE.{u2} (Multiset.{u2} σ) (PartialOrder.toPreorder.{u2} (Multiset.{u2} σ) (Multiset.partialOrder.{u2} σ))) (MvPolynomial.degrees.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroupWithOne.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toAddCommGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1)))))))) p q)) (Sup.sup.{u2} (Multiset.{u2} σ) (SemilatticeSup.toHasSup.{u2} (Multiset.{u2} σ) (Lattice.toSemilatticeSup.{u2} (Multiset.{u2} σ) (Multiset.lattice.{u2} σ (fun (a : σ) (b : σ) => _inst_2 a b)))) (MvPolynomial.degrees.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) p) (MvPolynomial.degrees.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) q))
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : DecidableEq.{succ u2} σ] (p : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (q : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)), LE.le.{u2} (Multiset.{u2} σ) (Preorder.toHasLe.{u2} (Multiset.{u2} σ) (PartialOrder.toPreorder.{u2} (Multiset.{u2} σ) (Multiset.partialOrder.{u2} σ))) (MvPolynomial.degrees.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroupWithOne.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toAddCommGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1)))))))) p q)) (Sup.sup.{u2} (Multiset.{u2} σ) (SemilatticeSup.toHasSup.{u2} (Multiset.{u2} σ) (Lattice.toSemilatticeSup.{u2} (Multiset.{u2} σ) (Multiset.lattice.{u2} σ (fun (a : σ) (b : σ) => _inst_2 a b)))) (MvPolynomial.degrees.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) p) (MvPolynomial.degrees.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) q))
 but is expected to have type
   forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommRing.{u2} R] (_inst_2 : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (p : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)), LE.le.{u1} (Multiset.{u1} σ) (Preorder.toLE.{u1} (Multiset.{u1} σ) (PartialOrder.toPreorder.{u1} (Multiset.{u1} σ) (Multiset.instPartialOrderMultiset.{u1} σ))) (MvPolynomial.degrees.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1)))) _inst_2 p)) (Sup.sup.{u1} (Multiset.{u1} σ) (SemilatticeSup.toSup.{u1} (Multiset.{u1} σ) (Lattice.toSemilatticeSup.{u1} (Multiset.{u1} σ) (Multiset.instLatticeMultiset.{u1} σ (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u1} σ a b))))) (MvPolynomial.degrees.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) _inst_2) (MvPolynomial.degrees.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.degrees_sub MvPolynomial.degrees_subₓ'. -/

2f5b500a

bump to nightly-2023-05-16-03

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

4c01fe25

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Johan Commelin, Mario Carneiro
 
 ! This file was ported from Lean 3 source module data.mv_polynomial.comm_ring
-! leanprover-community/mathlib commit 1dac236edca9b4b6f5f00b1ad831e35f89472837
+! leanprover-community/mathlib commit 2f5b500a507264de86d666a5f87ddb976e2d8de4
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -43,8 +43,6 @@ This will give rise to a monomial in `mv_polynomial σ R` which mathematicians m
 
 noncomputable section
 
-open Classical BigOperators
-
 open Set Function Finsupp AddMonoidAlgebra
 
 open BigOperators
@@ -125,11 +123,12 @@ theorem support_neg : (-p).support = p.support :=
 
 /- warning: mv_polynomial.support_sub -> MvPolynomial.support_sub is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} (σ : Type.{u2}) [_inst_1 : CommRing.{u1} R] (p : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (q : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)), HasSubset.Subset.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroupWithOne.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toAddCommGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1)))))))) p q)) (Union.union.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasUnion.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u2} σ a b)) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b)) (MvPolynomial.support.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) p) (MvPolynomial.support.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) q))
+  forall {R : Type.{u1}} (σ : Type.{u2}) [_inst_1 : CommRing.{u1} R] [_inst_2 : DecidableEq.{succ u2} σ] (p : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (q : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)), HasSubset.Subset.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroupWithOne.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toAddCommGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1)))))))) p q)) (Union.union.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasUnion.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_2 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b)) (MvPolynomial.support.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) p) (MvPolynomial.support.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) q))
 but is expected to have type
-  forall {R : Type.{u2}} (σ : Type.{u1}) [_inst_1 : CommRing.{u2} R] (p : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (q : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)), HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1)))) p q)) (Union.union.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instUnionFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u1} σ a b)) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b)) (MvPolynomial.support.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) p) (MvPolynomial.support.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) q))
+  forall {R : Type.{u2}} (σ : Type.{u1}) [_inst_1 : CommRing.{u2} R] (_inst_2 : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (p : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)), HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1)))) _inst_2 p)) (Union.union.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instUnionFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u1} σ a b)) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b)) (MvPolynomial.support.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) _inst_2) (MvPolynomial.support.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_sub MvPolynomial.support_subₓ'. -/
-theorem support_sub (p q : MvPolynomial σ R) : (p - q).support ⊆ p.support ∪ q.support :=
+theorem support_sub [DecidableEq σ] (p q : MvPolynomial σ R) :
+    (p - q).support ⊆ p.support ∪ q.support :=
   Finsupp.support_sub
 #align mv_polynomial.support_sub MvPolynomial.support_sub
 
@@ -149,12 +148,13 @@ theorem degrees_neg (p : MvPolynomial σ R) : (-p).degrees = p.degrees := by
 
 /- warning: mv_polynomial.degrees_sub -> MvPolynomial.degrees_sub is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommRing.{u1} R] (p : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (q : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)), LE.le.{u2} (Multiset.{u2} σ) (Preorder.toLE.{u2} (Multiset.{u2} σ) (PartialOrder.toPreorder.{u2} (Multiset.{u2} σ) (Multiset.partialOrder.{u2} σ))) (MvPolynomial.degrees.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroupWithOne.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toAddCommGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1)))))))) p q)) (Sup.sup.{u2} (Multiset.{u2} σ) (SemilatticeSup.toHasSup.{u2} (Multiset.{u2} σ) (Lattice.toSemilatticeSup.{u2} (Multiset.{u2} σ) (Multiset.lattice.{u2} σ (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u2} σ a b))))) (MvPolynomial.degrees.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) p) (MvPolynomial.degrees.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) q))
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : DecidableEq.{succ u2} σ] (p : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (q : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)), LE.le.{u2} (Multiset.{u2} σ) (Preorder.toLE.{u2} (Multiset.{u2} σ) (PartialOrder.toPreorder.{u2} (Multiset.{u2} σ) (Multiset.partialOrder.{u2} σ))) (MvPolynomial.degrees.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroupWithOne.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toAddCommGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1)))))))) p q)) (Sup.sup.{u2} (Multiset.{u2} σ) (SemilatticeSup.toHasSup.{u2} (Multiset.{u2} σ) (Lattice.toSemilatticeSup.{u2} (Multiset.{u2} σ) (Multiset.lattice.{u2} σ (fun (a : σ) (b : σ) => _inst_2 a b)))) (MvPolynomial.degrees.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) p) (MvPolynomial.degrees.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) q))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommRing.{u2} R] (p : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (q : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)), LE.le.{u1} (Multiset.{u1} σ) (Preorder.toLE.{u1} (Multiset.{u1} σ) (PartialOrder.toPreorder.{u1} (Multiset.{u1} σ) (Multiset.instPartialOrderMultiset.{u1} σ))) (MvPolynomial.degrees.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1)))) p q)) (Sup.sup.{u1} (Multiset.{u1} σ) (SemilatticeSup.toSup.{u1} (Multiset.{u1} σ) (Lattice.toSemilatticeSup.{u1} (Multiset.{u1} σ) (Multiset.instLatticeMultiset.{u1} σ (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u1} σ a b))))) (MvPolynomial.degrees.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) p) (MvPolynomial.degrees.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) q))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommRing.{u2} R] (_inst_2 : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (p : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)), LE.le.{u1} (Multiset.{u1} σ) (Preorder.toLE.{u1} (Multiset.{u1} σ) (PartialOrder.toPreorder.{u1} (Multiset.{u1} σ) (Multiset.instPartialOrderMultiset.{u1} σ))) (MvPolynomial.degrees.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1)))) _inst_2 p)) (Sup.sup.{u1} (Multiset.{u1} σ) (SemilatticeSup.toSup.{u1} (Multiset.{u1} σ) (Lattice.toSemilatticeSup.{u1} (Multiset.{u1} σ) (Multiset.instLatticeMultiset.{u1} σ (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u1} σ a b))))) (MvPolynomial.degrees.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) _inst_2) (MvPolynomial.degrees.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.degrees_sub MvPolynomial.degrees_subₓ'. -/
-theorem degrees_sub (p q : MvPolynomial σ R) : (p - q).degrees ≤ p.degrees ⊔ q.degrees := by
-  simpa only [sub_eq_add_neg] using le_trans (degrees_add p (-q)) (by rw [degrees_neg])
+theorem degrees_sub [DecidableEq σ] (p q : MvPolynomial σ R) :
+    (p - q).degrees ≤ p.degrees ⊔ q.degrees := by
+  classical simpa only [sub_eq_add_neg, degrees_neg] using degrees_add p (-q)
 #align mv_polynomial.degrees_sub MvPolynomial.degrees_sub
 
 end Degrees
@@ -175,11 +175,11 @@ theorem vars_neg : (-p).vars = p.vars := by simp [vars, degrees_neg]
 
 /- warning: mv_polynomial.vars_sub_subset -> MvPolynomial.vars_sub_subset is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommRing.{u1} R] (p : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (q : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)), HasSubset.Subset.{u2} (Finset.{u2} σ) (Finset.hasSubset.{u2} σ) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroupWithOne.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toAddCommGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1)))))))) p q)) (Union.union.{u2} (Finset.{u2} σ) (Finset.hasUnion.{u2} σ (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u2} σ a b))) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) p) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) q))
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommRing.{u1} R] (p : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (q : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) [_inst_2 : DecidableEq.{succ u2} σ], HasSubset.Subset.{u2} (Finset.{u2} σ) (Finset.hasSubset.{u2} σ) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroupWithOne.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toAddCommGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1)))))))) p q)) (Union.union.{u2} (Finset.{u2} σ) (Finset.hasUnion.{u2} σ (fun (a : σ) (b : σ) => _inst_2 a b)) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) p) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) q))
 but is expected to have type
   forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommRing.{u2} R] (p : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) {q : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)}, HasSubset.Subset.{u1} (Finset.{u1} σ) (Finset.instHasSubsetFinset.{u1} σ) (MvPolynomial.vars.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1)))) p q)) (Union.union.{u1} (Finset.{u1} σ) (Finset.instUnionFinset.{u1} σ (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u1} σ a b))) (MvPolynomial.vars.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) p) (MvPolynomial.vars.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) q))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.vars_sub_subset MvPolynomial.vars_sub_subsetₓ'. -/
-theorem vars_sub_subset : (p - q).vars ⊆ p.vars ∪ q.vars := by
+theorem vars_sub_subset [DecidableEq σ] : (p - q).vars ⊆ p.vars ∪ q.vars := by
   convert vars_add_subset p (-q) using 2 <;> simp [sub_eq_add_neg]
 #align mv_polynomial.vars_sub_subset MvPolynomial.vars_sub_subset
 
@@ -187,12 +187,13 @@ variable {p q}
 
 /- warning: mv_polynomial.vars_sub_of_disjoint -> MvPolynomial.vars_sub_of_disjoint is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommRing.{u1} R] {p : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)} {q : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)}, (Disjoint.{u2} (Finset.{u2} σ) (Finset.partialOrder.{u2} σ) (Finset.orderBot.{u2} σ) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) p) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) q)) -> (Eq.{succ u2} (Finset.{u2} σ) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroupWithOne.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toAddCommGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1)))))))) p q)) (Union.union.{u2} (Finset.{u2} σ) (Finset.hasUnion.{u2} σ (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u2} σ a b))) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) p) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) q)))
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommRing.{u1} R] {p : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)} {q : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)} [_inst_2 : DecidableEq.{succ u2} σ], (Disjoint.{u2} (Finset.{u2} σ) (Finset.partialOrder.{u2} σ) (Finset.orderBot.{u2} σ) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) p) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) q)) -> (Eq.{succ u2} (Finset.{u2} σ) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroupWithOne.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toAddCommGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1)))))))) p q)) (Union.union.{u2} (Finset.{u2} σ) (Finset.hasUnion.{u2} σ (fun (a : σ) (b : σ) => _inst_2 a b)) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) p) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) q)))
 but is expected to have type
   forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommRing.{u2} R] (p : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) {q : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)}, (Disjoint.{u1} (Finset.{u1} σ) (Finset.partialOrder.{u1} σ) (Finset.instOrderBotFinsetToLEToPreorderPartialOrder.{u1} σ) (MvPolynomial.vars.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) p) (MvPolynomial.vars.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) q)) -> (Eq.{succ u1} (Finset.{u1} σ) (MvPolynomial.vars.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1)))) p q)) (Union.union.{u1} (Finset.{u1} σ) (Finset.instUnionFinset.{u1} σ (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u1} σ a b))) (MvPolynomial.vars.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) p) (MvPolynomial.vars.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) q)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.vars_sub_of_disjoint MvPolynomial.vars_sub_of_disjointₓ'. -/
 @[simp]
-theorem vars_sub_of_disjoint (hpq : Disjoint p.vars q.vars) : (p - q).vars = p.vars ∪ q.vars :=
+theorem vars_sub_of_disjoint [DecidableEq σ] (hpq : Disjoint p.vars q.vars) :
+    (p - q).vars = p.vars ∪ q.vars :=
   by
   rw [← vars_neg q] at hpq
   convert vars_add_of_disjoint hpq using 2 <;> simp [sub_eq_add_neg]
@@ -291,15 +292,16 @@ theorem degreeOf_sub_lt {x : σ} {f g : MvPolynomial σ R} {k : ℕ} (h : 0 < k)
     (hf : ∀ m : σ →₀ ℕ, m ∈ f.support → k ≤ m x → coeff m f = coeff m g)
     (hg : ∀ m : σ →₀ ℕ, m ∈ g.support → k ≤ m x → coeff m f = coeff m g) : degreeOf x (f - g) < k :=
   by
-  rw [degree_of_lt_iff h]
-  intro m hm
-  by_contra hc
-  simp only [not_lt] at hc
-  have h := support_sub σ f g hm
-  simp only [mem_support_iff, Ne.def, coeff_sub, sub_eq_zero] at hm
-  cases' Finset.mem_union.1 h with cf cg
-  · exact hm (hf m cf hc)
-  · exact hm (hg m cg hc)
+  classical
+    rw [degree_of_lt_iff h]
+    intro m hm
+    by_contra hc
+    simp only [not_lt] at hc
+    have h := support_sub σ f g hm
+    simp only [mem_support_iff, Ne.def, coeff_sub, sub_eq_zero] at hm
+    cases' Finset.mem_union.1 h with cf cg
+    · exact hm (hf m cf hc)
+    · exact hm (hg m cg hc)
 #align mv_polynomial.degree_of_sub_lt MvPolynomial.degreeOf_sub_lt
 
 end DegreeOf
@@ -324,12 +326,12 @@ but is expected to have type
   forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommRing.{u2} R] (a : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (b : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)), LE.le.{0} Nat instLENat (MvPolynomial.totalDegree.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1)))) a b)) (Max.max.{0} Nat Nat.instMaxNat (MvPolynomial.totalDegree.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) a) (MvPolynomial.totalDegree.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) b))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.total_degree_sub MvPolynomial.totalDegree_subₓ'. -/
 theorem totalDegree_sub (a b : MvPolynomial σ R) :
-    (a - b).totalDegree ≤ max a.totalDegree b.totalDegree :=
-  calc
-    (a - b).totalDegree = (a + -b).totalDegree := by rw [sub_eq_add_neg]
-    _ ≤ max a.totalDegree (-b).totalDegree := (totalDegree_add a (-b))
-    _ = max a.totalDegree b.totalDegree := by rw [total_degree_neg]
-    
+    (a - b).totalDegree ≤ max a.totalDegree b.totalDegree := by
+  classical calc
+      (a - b).totalDegree = (a + -b).totalDegree := by rw [sub_eq_add_neg]
+      _ ≤ max a.total_degree (-b).totalDegree := (total_degree_add a (-b))
+      _ = max a.total_degree b.total_degree := by rw [total_degree_neg]
+      
 #align mv_polynomial.total_degree_sub MvPolynomial.totalDegree_sub
 
 end TotalDegree

1dac236e

bump to nightly-2023-05-08-22

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

63e712c6

Diff

@@ -210,7 +210,7 @@ variable (f : R →+* S) (g : σ → S)
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommRing.{u1} R] (p : MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) {q : MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)} [_inst_2 : CommRing.{u2} S] (f : RingHom.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (g : σ -> S), Eq.{succ u2} S (MvPolynomial.eval₂.{u1, u2, u3} R S σ (CommRing.toCommSemiring.{u1} R _inst_1) (CommRing.toCommSemiring.{u2} S _inst_2) f g (HSub.hSub.{max u3 u1, max u3 u1, max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroupWithOne.toAddGroupWithOne.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toAddCommGroupWithOne.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u3} R σ _inst_1)))))))) p q)) (HSub.hSub.{u2, u2, u2} S S S (instHSub.{u2} S (SubNegMonoid.toHasSub.{u2} S (AddGroup.toSubNegMonoid.{u2} S (AddGroupWithOne.toAddGroup.{u2} S (AddCommGroupWithOne.toAddGroupWithOne.{u2} S (Ring.toAddCommGroupWithOne.{u2} S (CommRing.toRing.{u2} S _inst_2))))))) (MvPolynomial.eval₂.{u1, u2, u3} R S σ (CommRing.toCommSemiring.{u1} R _inst_1) (CommRing.toCommSemiring.{u2} S _inst_2) f g p) (MvPolynomial.eval₂.{u1, u2, u3} R S σ (CommRing.toCommSemiring.{u1} R _inst_1) (CommRing.toCommSemiring.{u2} S _inst_2) f g q))
 but is expected to have type
-  forall {R : Type.{u2}} {S : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommRing.{u2} R] (p : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) {q : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)} [_inst_2 : CommRing.{u3} S] (f : RingHom.{u2, u3} R S (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_1))) (NonAssocRing.toNonAssocSemiring.{u3} S (Ring.toNonAssocRing.{u3} S (CommRing.toRing.{u3} S _inst_2)))) (g : σ -> S), Eq.{succ u3} S (MvPolynomial.eval₂.{u2, u3, u1} R S σ (CommRing.toCommSemiring.{u2} R _inst_1) (CommRing.toCommSemiring.{u3} S _inst_2) f g (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1)))) p q)) (HSub.hSub.{u3, u3, u3} S S S (instHSub.{u3} S (Ring.toSub.{u3} S (CommRing.toRing.{u3} S _inst_2))) (MvPolynomial.eval₂.{u2, u3, u1} R S σ (CommRing.toCommSemiring.{u2} R _inst_1) (CommRing.toCommSemiring.{u3} S _inst_2) f g p) (MvPolynomial.eval₂.{u2, u3, u1} R S σ (CommRing.toCommSemiring.{u2} R _inst_1) (CommRing.toCommSemiring.{u3} S _inst_2) f g q))
+  forall {R : Type.{u2}} {S : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommRing.{u2} R] (p : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) {q : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)} [_inst_2 : CommRing.{u3} S] (f : RingHom.{u2, u3} R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S (CommRing.toCommSemiring.{u3} S _inst_2)))) (g : σ -> S), Eq.{succ u3} S (MvPolynomial.eval₂.{u2, u3, u1} R S σ (CommRing.toCommSemiring.{u2} R _inst_1) (CommRing.toCommSemiring.{u3} S _inst_2) f g (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1)))) p q)) (HSub.hSub.{u3, u3, u3} S S S (instHSub.{u3} S (Ring.toSub.{u3} S (CommRing.toRing.{u3} S _inst_2))) (MvPolynomial.eval₂.{u2, u3, u1} R S σ (CommRing.toCommSemiring.{u2} R _inst_1) (CommRing.toCommSemiring.{u3} S _inst_2) f g p) (MvPolynomial.eval₂.{u2, u3, u1} R S σ (CommRing.toCommSemiring.{u2} R _inst_1) (CommRing.toCommSemiring.{u3} S _inst_2) f g q))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_sub MvPolynomial.eval₂_subₓ'. -/
 @[simp]
 theorem eval₂_sub : (p - q).eval₂ f g = p.eval₂ f g - q.eval₂ f g :=
@@ -221,7 +221,7 @@ theorem eval₂_sub : (p - q).eval₂ f g = p.eval₂ f g - q.eval₂ f g :=
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommRing.{u1} R] (p : MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) [_inst_2 : CommRing.{u2} S] (f : RingHom.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (g : σ -> S), Eq.{succ u2} S (MvPolynomial.eval₂.{u1, u2, u3} R S σ (CommRing.toCommSemiring.{u1} R _inst_1) (CommRing.toCommSemiring.{u2} S _inst_2) f g (Neg.neg.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasNeg.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroupWithOne.toAddGroupWithOne.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toAddCommGroupWithOne.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u3} R σ _inst_1))))))) p)) (Neg.neg.{u2} S (SubNegMonoid.toHasNeg.{u2} S (AddGroup.toSubNegMonoid.{u2} S (AddGroupWithOne.toAddGroup.{u2} S (AddCommGroupWithOne.toAddGroupWithOne.{u2} S (Ring.toAddCommGroupWithOne.{u2} S (CommRing.toRing.{u2} S _inst_2)))))) (MvPolynomial.eval₂.{u1, u2, u3} R S σ (CommRing.toCommSemiring.{u1} R _inst_1) (CommRing.toCommSemiring.{u2} S _inst_2) f g p))
 but is expected to have type
-  forall {R : Type.{u2}} {S : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommRing.{u2} R] (p : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) [_inst_2 : CommRing.{u3} S] (f : RingHom.{u2, u3} R S (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_1))) (NonAssocRing.toNonAssocSemiring.{u3} S (Ring.toNonAssocRing.{u3} S (CommRing.toRing.{u3} S _inst_2)))) (g : σ -> S), Eq.{succ u3} S (MvPolynomial.eval₂.{u2, u3, u1} R S σ (CommRing.toCommSemiring.{u2} R _inst_1) (CommRing.toCommSemiring.{u3} S _inst_2) f g (Neg.neg.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toNeg.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1))) p)) (Neg.neg.{u3} S (Ring.toNeg.{u3} S (CommRing.toRing.{u3} S _inst_2)) (MvPolynomial.eval₂.{u2, u3, u1} R S σ (CommRing.toCommSemiring.{u2} R _inst_1) (CommRing.toCommSemiring.{u3} S _inst_2) f g p))
+  forall {R : Type.{u2}} {S : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommRing.{u2} R] (p : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) [_inst_2 : CommRing.{u3} S] (f : RingHom.{u2, u3} R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S (CommRing.toCommSemiring.{u3} S _inst_2)))) (g : σ -> S), Eq.{succ u3} S (MvPolynomial.eval₂.{u2, u3, u1} R S σ (CommRing.toCommSemiring.{u2} R _inst_1) (CommRing.toCommSemiring.{u3} S _inst_2) f g (Neg.neg.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toNeg.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1))) p)) (Neg.neg.{u3} S (Ring.toNeg.{u3} S (CommRing.toRing.{u3} S _inst_2)) (MvPolynomial.eval₂.{u2, u3, u1} R S σ (CommRing.toCommSemiring.{u2} R _inst_1) (CommRing.toCommSemiring.{u3} S _inst_2) f g p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_neg MvPolynomial.eval₂_negₓ'. -/
 @[simp]
 theorem eval₂_neg : (-p).eval₂ f g = -p.eval₂ f g :=
@@ -232,7 +232,7 @@ theorem eval₂_neg : (-p).eval₂ f g = -p.eval₂ f g :=
 lean 3 declaration is
   forall {S : Type.{u1}} {σ : Type.{u2}} [_inst_2 : CommRing.{u1} S] (f : RingHom.{u2, u1} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) S (NonAssocRing.toNonAssocSemiring.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (Ring.toNonAssocRing.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (CommRing.toRing.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (MvPolynomial.commRing.{0, u2} Int σ Int.commRing)))) (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S (CommRing.toRing.{u1} S _inst_2)))) (n : Int), Eq.{succ u1} S (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) S (NonAssocRing.toNonAssocSemiring.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (Ring.toNonAssocRing.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (CommRing.toRing.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (MvPolynomial.commRing.{0, u2} Int σ Int.commRing)))) (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S (CommRing.toRing.{u1} S _inst_2)))) (fun (_x : RingHom.{u2, u1} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) S (NonAssocRing.toNonAssocSemiring.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (Ring.toNonAssocRing.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (CommRing.toRing.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (MvPolynomial.commRing.{0, u2} Int σ Int.commRing)))) (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S (CommRing.toRing.{u1} S _inst_2)))) => (MvPolynomial.{u2, 0} σ Int Int.commSemiring) -> S) (RingHom.hasCoeToFun.{u2, u1} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) S (NonAssocRing.toNonAssocSemiring.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (Ring.toNonAssocRing.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (CommRing.toRing.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (MvPolynomial.commRing.{0, u2} Int σ Int.commRing)))) (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S (CommRing.toRing.{u1} S _inst_2)))) f (coeFn.{succ u2, succ u2} (RingHom.{0, u2} Int (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.commSemiring)) (Semiring.toNonAssocSemiring.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (CommSemiring.toSemiring.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u2} Int σ Int.commSemiring)))) (fun (_x : RingHom.{0, u2} Int (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.commSemiring)) (Semiring.toNonAssocSemiring.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (CommSemiring.toSemiring.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u2} Int σ Int.commSemiring)))) => Int -> (MvPolynomial.{u2, 0} σ Int Int.commSemiring)) (RingHom.hasCoeToFun.{0, u2} Int (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.commSemiring)) (Semiring.toNonAssocSemiring.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (CommSemiring.toSemiring.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u2} Int σ Int.commSemiring)))) (MvPolynomial.C.{0, u2} Int σ Int.commSemiring) n)) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int S (HasLiftT.mk.{1, succ u1} Int S (CoeTCₓ.coe.{1, succ u1} Int S (Int.castCoe.{u1} S (AddGroupWithOne.toHasIntCast.{u1} S (AddCommGroupWithOne.toAddGroupWithOne.{u1} S (Ring.toAddCommGroupWithOne.{u1} S (CommRing.toRing.{u1} S _inst_2))))))) n)
 but is expected to have type
-  forall {S : Type.{u2}} {σ : Type.{u1}} [_inst_2 : CommRing.{u2} S] (f : RingHom.{u1, u2} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int σ Int.instCommRingInt)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (n : Int), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) => S) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (fun (a : Int) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Int) => MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) a) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toMul.{0} Int (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)))) (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))) (RingHom.instRingHomClassRingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))))))) (MvPolynomial.C.{0, u1} Int σ Int.instCommSemiringInt) n)) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int σ Int.instCommRingInt)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (fun (_x : MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) => S) _x) (MulHomClass.toFunLike.{max u2 u1, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int σ Int.instCommRingInt)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int σ Int.instCommRingInt)))))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int σ Int.instCommRingInt)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int σ Int.instCommRingInt))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int σ Int.instCommRingInt)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int σ Int.instCommRingInt)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2))) (RingHom.instRingHomClassRingHom.{u1, u2} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int σ Int.instCommRingInt)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2))))))) f (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (fun (_x : Int) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Int) => MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) _x) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toMul.{0} Int (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)))) (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))) (RingHom.instRingHomClassRingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))))))) (MvPolynomial.C.{0, u1} Int σ Int.instCommSemiringInt) n)) (Int.cast.{u2} S (Ring.toIntCast.{u2} S (CommRing.toRing.{u2} S _inst_2)) n)
+  forall {S : Type.{u2}} {σ : Type.{u1}} [_inst_2 : CommRing.{u2} S] (f : RingHom.{u1, u2} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (n : Int), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) => S) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (fun (a : Int) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Int) => MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) a) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toMul.{0} Int (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)))) (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))) (RingHom.instRingHomClassRingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))))))) (MvPolynomial.C.{0, u1} Int σ Int.instCommSemiringInt) n)) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (fun (_x : MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) => S) _x) (MulHomClass.toFunLike.{max u2 u1, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2))) (RingHom.instRingHomClassRingHom.{u1, u2} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2))))))) f (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (fun (_x : Int) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Int) => MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) _x) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toMul.{0} Int (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)))) (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))) (RingHom.instRingHomClassRingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))))))) (MvPolynomial.C.{0, u1} Int σ Int.instCommSemiringInt) n)) (Int.cast.{u2} S (Ring.toIntCast.{u2} S (CommRing.toRing.{u2} S _inst_2)) n)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.hom_C MvPolynomial.hom_Cₓ'. -/
 theorem hom_C (f : MvPolynomial σ ℤ →+* S) (n : ℤ) : f (C n) = (n : S) :=
   eq_intCast (f.comp C) n
@@ -242,7 +242,7 @@ theorem hom_C (f : MvPolynomial σ ℤ →+* S) (n : ℤ) : f (C n) = (n : S) :=
 lean 3 declaration is
   forall {S : Type.{u2}} [_inst_2 : CommRing.{u2} S] {R : Type.{u1}} (c : RingHom.{0, u2} Int S (NonAssocRing.toNonAssocSemiring.{0} Int (Ring.toNonAssocRing.{0} Int Int.ring)) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (f : RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.commSemiring) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commRing.{0, u1} Int R Int.commRing)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (x : MvPolynomial.{u1, 0} R Int Int.commSemiring), Eq.{succ u2} S (MvPolynomial.eval₂.{0, u2, u1} Int S R Int.commSemiring (CommRing.toCommSemiring.{u2} S _inst_2) c (Function.comp.{succ u1, succ u1, succ u2} R (MvPolynomial.{u1, 0} R Int Int.commSemiring) S (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.commSemiring) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commRing.{0, u1} Int R Int.commRing)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (fun (_x : RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.commSemiring) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commRing.{0, u1} Int R Int.commRing)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) => (MvPolynomial.{u1, 0} R Int Int.commSemiring) -> S) (RingHom.hasCoeToFun.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.commSemiring) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commRing.{0, u1} Int R Int.commRing)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) f) (MvPolynomial.X.{0, u1} Int R Int.commSemiring)) x) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.commSemiring) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commRing.{0, u1} Int R Int.commRing)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (fun (_x : RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.commSemiring) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commRing.{0, u1} Int R Int.commRing)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) => (MvPolynomial.{u1, 0} R Int Int.commSemiring) -> S) (RingHom.hasCoeToFun.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.commSemiring) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commRing.{0, u1} Int R Int.commRing)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) f x)
 but is expected to have type
-  forall {S : Type.{u2}} [_inst_2 : CommRing.{u2} S] {R : Type.{u1}} (c : RingHom.{0, u2} Int S (NonAssocRing.toNonAssocSemiring.{0} Int (Ring.toNonAssocRing.{0} Int Int.instRingInt)) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (f : RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int R Int.instCommRingInt)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (x : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt), Eq.{succ u2} S (MvPolynomial.eval₂.{0, u2, u1} Int S R Int.instCommSemiringInt (CommRing.toCommSemiring.{u2} S _inst_2) c (Function.comp.{succ u1, succ u1, succ u2} R (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int R Int.instCommRingInt)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (fun (_x : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => S) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int R Int.instCommRingInt)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int R Int.instCommRingInt)))))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int R Int.instCommRingInt)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int R Int.instCommRingInt))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int R Int.instCommRingInt)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int R Int.instCommRingInt)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2))) (RingHom.instRingHomClassRingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int R Int.instCommRingInt)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2))))))) f) (MvPolynomial.X.{0, u1} Int R Int.instCommSemiringInt)) x) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int R Int.instCommRingInt)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (fun (_x : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => S) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int R Int.instCommRingInt)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int R Int.instCommRingInt)))))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int R Int.instCommRingInt)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int R Int.instCommRingInt))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int R Int.instCommRingInt)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int R Int.instCommRingInt)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2))) (RingHom.instRingHomClassRingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int R Int.instCommRingInt)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2))))))) f x)
+  forall {S : Type.{u2}} [_inst_2 : CommRing.{u2} S] {R : Type.{u1}} (c : RingHom.{0, u2} Int S (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (f : RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (x : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt), Eq.{succ u2} S (MvPolynomial.eval₂.{0, u2, u1} Int S R Int.instCommSemiringInt (CommRing.toCommSemiring.{u2} S _inst_2) c (Function.comp.{succ u1, succ u1, succ u2} R (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (fun (_x : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => S) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2))) (RingHom.instRingHomClassRingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2))))))) f) (MvPolynomial.X.{0, u1} Int R Int.instCommSemiringInt)) x) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (fun (_x : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => S) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2))) (RingHom.instRingHomClassRingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S (CommRing.toCommSemiring.{u2} S _inst_2))))))) f x)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_X MvPolynomial.eval₂Hom_Xₓ'. -/
 /-- A ring homomorphism f : Z[X_1, X_2, ...] → R
 is determined by the evaluations f(X_1), f(X_2), ... -/
@@ -265,7 +265,7 @@ theorem eval₂Hom_X {R : Type u} (c : ℤ →+* S) (f : MvPolynomial R ℤ →+
 lean 3 declaration is
   forall {S : Type.{u1}} {σ : Type.{u2}} [_inst_2 : CommRing.{u1} S], Equiv.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) S (NonAssocRing.toNonAssocSemiring.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (Ring.toNonAssocRing.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (CommRing.toRing.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (MvPolynomial.commRing.{0, u2} Int σ Int.commRing)))) (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S (CommRing.toRing.{u1} S _inst_2)))) (σ -> S)
 but is expected to have type
-  forall {S : Type.{u1}} {σ : Type.{u2}} [_inst_2 : CommRing.{u1} S], Equiv.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u2, u1} (MvPolynomial.{u2, 0} σ Int Int.instCommSemiringInt) S (NonAssocRing.toNonAssocSemiring.{u2} (MvPolynomial.{u2, 0} σ Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u2} (MvPolynomial.{u2, 0} σ Int Int.instCommSemiringInt) (CommRing.toRing.{u2} (MvPolynomial.{u2, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u2} Int σ Int.instCommRingInt)))) (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S (CommRing.toRing.{u1} S _inst_2)))) (σ -> S)
+  forall {S : Type.{u1}} {σ : Type.{u2}} [_inst_2 : CommRing.{u1} S], Equiv.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u2, u1} (MvPolynomial.{u2, 0} σ Int Int.instCommSemiringInt) S (Semiring.toNonAssocSemiring.{u2} (MvPolynomial.{u2, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u2} (MvPolynomial.{u2, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u2} Int σ Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_2)))) (σ -> S)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.hom_equiv MvPolynomial.homEquivₓ'. -/
 /-- Ring homomorphisms out of integer polynomials on a type `σ` are the same as
 functions out of the type `σ`, -/

1dac236e

bump to nightly-2023-03-27-02

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

0e4ebd8c

Diff

@@ -70,7 +70,7 @@ variable (σ a a')
 
 /- warning: mv_polynomial.C_sub -> MvPolynomial.C_sub is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} (σ : Type.{u2}) (a : R) (a' : R) [_inst_1 : CommRing.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) => R -> (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) (MvPolynomial.C.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1)) (HSub.hSub.{u1, u1, u1} R R R (instHSub.{u1} R (SubNegMonoid.toHasSub.{u1} R (AddGroup.toSubNegMonoid.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (NonAssocRing.toAddGroupWithOne.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1))))))) a a')) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonAssocRing.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toNonAssocRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1)))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) => R -> (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) (MvPolynomial.C.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1)) a) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) => R -> (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) (MvPolynomial.C.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1)) a'))
+  forall {R : Type.{u1}} (σ : Type.{u2}) (a : R) (a' : R) [_inst_1 : CommRing.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) => R -> (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) (MvPolynomial.C.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1)) (HSub.hSub.{u1, u1, u1} R R R (instHSub.{u1} R (SubNegMonoid.toHasSub.{u1} R (AddGroup.toSubNegMonoid.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (CommRing.toRing.{u1} R _inst_1))))))) a a')) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroupWithOne.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toAddCommGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1)))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) => R -> (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) (MvPolynomial.C.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1)) a) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) => R -> (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) (MvPolynomial.C.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1)) a'))
 but is expected to have type
   forall {R : Type.{u2}} (σ : Type.{u1}) (a : R) (a' : R) [_inst_1 : CommRing.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (HSub.hSub.{u2, u2, u2} R R R (instHSub.{u2} R (Ring.toSub.{u2} R (CommRing.toRing.{u2} R _inst_1))) a a')) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) 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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) 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(MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))))))) (MvPolynomial.C.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) 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(MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))))))) (MvPolynomial.C.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)) a'))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_sub MvPolynomial.C_subₓ'. -/
@@ -81,7 +81,7 @@ theorem C_sub : (C (a - a') : MvPolynomial σ R) = C a - C a' :=
 
 /- warning: mv_polynomial.C_neg -> MvPolynomial.C_neg is a dubious translation:
 lean 3 declaration is
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+  forall {R : Type.{u1}} (σ : Type.{u2}) (a : R) [_inst_1 : CommRing.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) => R -> (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) (MvPolynomial.C.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1)) (Neg.neg.{u1} R (SubNegMonoid.toHasNeg.{u1} R (AddGroup.toSubNegMonoid.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) a)) (Neg.neg.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasNeg.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroupWithOne.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toAddCommGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) => R -> (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) (MvPolynomial.C.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1)) a))
 but is expected to have type
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(CommRing.toCommSemiring.{u2} R _inst_1)) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))))))) (MvPolynomial.C.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)) (Neg.neg.{u2} R (Ring.toNeg.{u2} R (CommRing.toRing.{u2} R _inst_1)) a)) (Neg.neg.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) a) (Ring.toNeg.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) a) (CommRing.toRing.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) a) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)))))))) (MvPolynomial.C.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1)) a))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_neg MvPolynomial.C_negₓ'. -/
@@ -92,7 +92,7 @@ theorem C_neg : (C (-a) : MvPolynomial σ R) = -C a :=
 
 /- warning: mv_polynomial.coeff_neg -> MvPolynomial.coeff_neg is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} (σ : Type.{u2}) [_inst_1 : CommRing.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (p : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) m (Neg.neg.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasNeg.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonAssocRing.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toNonAssocRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1))))))) p)) (Neg.neg.{u1} R (SubNegMonoid.toHasNeg.{u1} R (AddGroup.toSubNegMonoid.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (NonAssocRing.toAddGroupWithOne.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (MvPolynomial.coeff.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) m p))
+  forall {R : Type.{u1}} (σ : Type.{u2}) [_inst_1 : CommRing.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (p : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) m (Neg.neg.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasNeg.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroupWithOne.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toAddCommGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1))))))) p)) (Neg.neg.{u1} R (SubNegMonoid.toHasNeg.{u1} R (AddGroup.toSubNegMonoid.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (MvPolynomial.coeff.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) m p))
 but is expected to have type
   forall {R : Type.{u2}} (σ : Type.{u1}) [_inst_1 : CommRing.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (p : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) m (Neg.neg.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toNeg.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1))) p)) (Neg.neg.{u2} R (Ring.toNeg.{u2} R (CommRing.toRing.{u2} R _inst_1)) (MvPolynomial.coeff.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) m p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_neg MvPolynomial.coeff_negₓ'. -/
@@ -103,7 +103,7 @@ theorem coeff_neg (m : σ →₀ ℕ) (p : MvPolynomial σ R) : coeff m (-p) = -
 
 /- warning: mv_polynomial.coeff_sub -> MvPolynomial.coeff_sub is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} (σ : Type.{u2}) [_inst_1 : CommRing.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (p : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (q : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) m (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonAssocRing.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toNonAssocRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1)))))))) p q)) (HSub.hSub.{u1, u1, u1} R R R (instHSub.{u1} R (SubNegMonoid.toHasSub.{u1} R (AddGroup.toSubNegMonoid.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (NonAssocRing.toAddGroupWithOne.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1))))))) (MvPolynomial.coeff.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) m p) (MvPolynomial.coeff.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) m q))
+  forall {R : Type.{u1}} (σ : Type.{u2}) [_inst_1 : CommRing.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (p : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (q : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) m (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroupWithOne.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toAddCommGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1)))))))) p q)) (HSub.hSub.{u1, u1, u1} R R R (instHSub.{u1} R (SubNegMonoid.toHasSub.{u1} R (AddGroup.toSubNegMonoid.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (CommRing.toRing.{u1} R _inst_1))))))) (MvPolynomial.coeff.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) m p) (MvPolynomial.coeff.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) m q))
 but is expected to have type
   forall {R : Type.{u2}} (σ : Type.{u1}) [_inst_1 : CommRing.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (p : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (q : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) m (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1)))) p q)) (HSub.hSub.{u2, u2, u2} R R R (instHSub.{u2} R (Ring.toSub.{u2} R (CommRing.toRing.{u2} R _inst_1))) (MvPolynomial.coeff.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) m p) (MvPolynomial.coeff.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) m q))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_sub MvPolynomial.coeff_subₓ'. -/
@@ -114,7 +114,7 @@ theorem coeff_sub (m : σ →₀ ℕ) (p q : MvPolynomial σ R) : coeff m (p - q
 
 /- warning: mv_polynomial.support_neg -> MvPolynomial.support_neg is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} (σ : Type.{u2}) [_inst_1 : CommRing.{u1} R] {p : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)}, Eq.{succ u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) (Neg.neg.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasNeg.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonAssocRing.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toNonAssocRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1))))))) p)) (MvPolynomial.support.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) p)
+  forall {R : Type.{u1}} (σ : Type.{u2}) [_inst_1 : CommRing.{u1} R] {p : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)}, Eq.{succ u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) (Neg.neg.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasNeg.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroupWithOne.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toAddCommGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1))))))) p)) (MvPolynomial.support.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) p)
 but is expected to have type
   forall {R : Type.{u2}} (σ : Type.{u1}) [_inst_1 : CommRing.{u2} R] {p : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)}, Eq.{succ u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) (Neg.neg.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toNeg.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1))) p)) (MvPolynomial.support.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) p)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_neg MvPolynomial.support_negₓ'. -/
@@ -125,7 +125,7 @@ theorem support_neg : (-p).support = p.support :=
 
 /- warning: mv_polynomial.support_sub -> MvPolynomial.support_sub is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} (σ : Type.{u2}) [_inst_1 : CommRing.{u1} R] (p : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (q : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)), HasSubset.Subset.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonAssocRing.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toNonAssocRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1)))))))) p q)) (Union.union.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasUnion.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u2} σ a b)) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b)) (MvPolynomial.support.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) p) (MvPolynomial.support.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) q))
+  forall {R : Type.{u1}} (σ : Type.{u2}) [_inst_1 : CommRing.{u1} R] (p : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (q : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)), HasSubset.Subset.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroupWithOne.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toAddCommGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1)))))))) p q)) (Union.union.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasUnion.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u2} σ a b)) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b)) (MvPolynomial.support.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) p) (MvPolynomial.support.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) q))
 but is expected to have type
   forall {R : Type.{u2}} (σ : Type.{u1}) [_inst_1 : CommRing.{u2} R] (p : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (q : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)), HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1)))) p q)) (Union.union.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instUnionFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u1} σ a b)) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b)) (MvPolynomial.support.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) p) (MvPolynomial.support.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) q))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_sub MvPolynomial.support_subₓ'. -/
@@ -139,7 +139,7 @@ section Degrees
 
 /- warning: mv_polynomial.degrees_neg -> MvPolynomial.degrees_neg is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommRing.{u1} R] (p : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)), Eq.{succ u2} (Multiset.{u2} σ) (MvPolynomial.degrees.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) (Neg.neg.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasNeg.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonAssocRing.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toNonAssocRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1))))))) p)) (MvPolynomial.degrees.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) p)
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommRing.{u1} R] (p : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)), Eq.{succ u2} (Multiset.{u2} σ) (MvPolynomial.degrees.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) (Neg.neg.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasNeg.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroupWithOne.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toAddCommGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1))))))) p)) (MvPolynomial.degrees.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) p)
 but is expected to have type
   forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommRing.{u2} R] (p : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)), Eq.{succ u1} (Multiset.{u1} σ) (MvPolynomial.degrees.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) (Neg.neg.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toNeg.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1))) p)) (MvPolynomial.degrees.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) p)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.degrees_neg MvPolynomial.degrees_negₓ'. -/
@@ -149,7 +149,7 @@ theorem degrees_neg (p : MvPolynomial σ R) : (-p).degrees = p.degrees := by
 
 /- warning: mv_polynomial.degrees_sub -> MvPolynomial.degrees_sub is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommRing.{u1} R] (p : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (q : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)), LE.le.{u2} (Multiset.{u2} σ) (Preorder.toLE.{u2} (Multiset.{u2} σ) (PartialOrder.toPreorder.{u2} (Multiset.{u2} σ) (Multiset.partialOrder.{u2} σ))) (MvPolynomial.degrees.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonAssocRing.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toNonAssocRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1)))))))) p q)) (Sup.sup.{u2} (Multiset.{u2} σ) (SemilatticeSup.toHasSup.{u2} (Multiset.{u2} σ) (Lattice.toSemilatticeSup.{u2} (Multiset.{u2} σ) (Multiset.lattice.{u2} σ (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u2} σ a b))))) (MvPolynomial.degrees.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) p) (MvPolynomial.degrees.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) q))
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommRing.{u1} R] (p : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (q : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)), LE.le.{u2} (Multiset.{u2} σ) (Preorder.toLE.{u2} (Multiset.{u2} σ) (PartialOrder.toPreorder.{u2} (Multiset.{u2} σ) (Multiset.partialOrder.{u2} σ))) (MvPolynomial.degrees.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroupWithOne.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toAddCommGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1)))))))) p q)) (Sup.sup.{u2} (Multiset.{u2} σ) (SemilatticeSup.toHasSup.{u2} (Multiset.{u2} σ) (Lattice.toSemilatticeSup.{u2} (Multiset.{u2} σ) (Multiset.lattice.{u2} σ (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u2} σ a b))))) (MvPolynomial.degrees.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) p) (MvPolynomial.degrees.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) q))
 but is expected to have type
   forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommRing.{u2} R] (p : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (q : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)), LE.le.{u1} (Multiset.{u1} σ) (Preorder.toLE.{u1} (Multiset.{u1} σ) (PartialOrder.toPreorder.{u1} (Multiset.{u1} σ) (Multiset.instPartialOrderMultiset.{u1} σ))) (MvPolynomial.degrees.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1)))) p q)) (Sup.sup.{u1} (Multiset.{u1} σ) (SemilatticeSup.toSup.{u1} (Multiset.{u1} σ) (Lattice.toSemilatticeSup.{u1} (Multiset.{u1} σ) (Multiset.instLatticeMultiset.{u1} σ (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u1} σ a b))))) (MvPolynomial.degrees.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) p) (MvPolynomial.degrees.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) q))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.degrees_sub MvPolynomial.degrees_subₓ'. -/
@@ -165,7 +165,7 @@ variable (p q)
 
 /- warning: mv_polynomial.vars_neg -> MvPolynomial.vars_neg is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommRing.{u1} R] (p : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)), Eq.{succ u2} (Finset.{u2} σ) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) (Neg.neg.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasNeg.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonAssocRing.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toNonAssocRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1))))))) p)) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) p)
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommRing.{u1} R] (p : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)), Eq.{succ u2} (Finset.{u2} σ) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) (Neg.neg.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasNeg.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroupWithOne.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toAddCommGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1))))))) p)) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) p)
 but is expected to have type
   forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommRing.{u2} R] (p : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)), Eq.{succ u1} (Finset.{u1} σ) (MvPolynomial.vars.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) (Neg.neg.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toNeg.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1))) p)) (MvPolynomial.vars.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) p)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.vars_neg MvPolynomial.vars_negₓ'. -/
@@ -175,7 +175,7 @@ theorem vars_neg : (-p).vars = p.vars := by simp [vars, degrees_neg]
 
 /- warning: mv_polynomial.vars_sub_subset -> MvPolynomial.vars_sub_subset is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommRing.{u1} R] (p : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (q : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)), HasSubset.Subset.{u2} (Finset.{u2} σ) (Finset.hasSubset.{u2} σ) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonAssocRing.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toNonAssocRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1)))))))) p q)) (Union.union.{u2} (Finset.{u2} σ) (Finset.hasUnion.{u2} σ (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u2} σ a b))) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) p) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) q))
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommRing.{u1} R] (p : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (q : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)), HasSubset.Subset.{u2} (Finset.{u2} σ) (Finset.hasSubset.{u2} σ) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroupWithOne.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toAddCommGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1)))))))) p q)) (Union.union.{u2} (Finset.{u2} σ) (Finset.hasUnion.{u2} σ (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u2} σ a b))) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) p) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) q))
 but is expected to have type
   forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommRing.{u2} R] (p : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) {q : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)}, HasSubset.Subset.{u1} (Finset.{u1} σ) (Finset.instHasSubsetFinset.{u1} σ) (MvPolynomial.vars.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1)))) p q)) (Union.union.{u1} (Finset.{u1} σ) (Finset.instUnionFinset.{u1} σ (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u1} σ a b))) (MvPolynomial.vars.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) p) (MvPolynomial.vars.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) q))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.vars_sub_subset MvPolynomial.vars_sub_subsetₓ'. -/
@@ -187,7 +187,7 @@ variable {p q}
 
 /- warning: mv_polynomial.vars_sub_of_disjoint -> MvPolynomial.vars_sub_of_disjoint is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommRing.{u1} R] {p : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)} {q : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)}, (Disjoint.{u2} (Finset.{u2} σ) (Finset.partialOrder.{u2} σ) (Finset.orderBot.{u2} σ) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) p) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) q)) -> (Eq.{succ u2} (Finset.{u2} σ) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonAssocRing.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toNonAssocRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1)))))))) p q)) (Union.union.{u2} (Finset.{u2} σ) (Finset.hasUnion.{u2} σ (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u2} σ a b))) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) p) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) q)))
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommRing.{u1} R] {p : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)} {q : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)}, (Disjoint.{u2} (Finset.{u2} σ) (Finset.partialOrder.{u2} σ) (Finset.orderBot.{u2} σ) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) p) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) q)) -> (Eq.{succ u2} (Finset.{u2} σ) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroupWithOne.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toAddCommGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1)))))))) p q)) (Union.union.{u2} (Finset.{u2} σ) (Finset.hasUnion.{u2} σ (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u2} σ a b))) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) p) (MvPolynomial.vars.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) q)))
 but is expected to have type
   forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommRing.{u2} R] (p : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) {q : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)}, (Disjoint.{u1} (Finset.{u1} σ) (Finset.partialOrder.{u1} σ) (Finset.instOrderBotFinsetToLEToPreorderPartialOrder.{u1} σ) (MvPolynomial.vars.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) p) (MvPolynomial.vars.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) q)) -> (Eq.{succ u1} (Finset.{u1} σ) (MvPolynomial.vars.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1)))) p q)) (Union.union.{u1} (Finset.{u1} σ) (Finset.instUnionFinset.{u1} σ (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u1} σ a b))) (MvPolynomial.vars.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) p) (MvPolynomial.vars.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) q)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.vars_sub_of_disjoint MvPolynomial.vars_sub_of_disjointₓ'. -/
@@ -208,7 +208,7 @@ variable (f : R →+* S) (g : σ → S)
 
 /- warning: mv_polynomial.eval₂_sub -> MvPolynomial.eval₂_sub is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {S : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommRing.{u1} R] (p : MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) {q : MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)} [_inst_2 : CommRing.{u2} S] (f : RingHom.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (g : σ -> S), Eq.{succ u2} S (MvPolynomial.eval₂.{u1, u2, u3} R S σ (CommRing.toCommSemiring.{u1} R _inst_1) (CommRing.toCommSemiring.{u2} S _inst_2) f g (HSub.hSub.{max u3 u1, max u3 u1, max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonAssocRing.toAddGroupWithOne.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toNonAssocRing.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u3} R σ _inst_1)))))))) p q)) (HSub.hSub.{u2, u2, u2} S S S (instHSub.{u2} S (SubNegMonoid.toHasSub.{u2} S (AddGroup.toSubNegMonoid.{u2} S (AddGroupWithOne.toAddGroup.{u2} S (NonAssocRing.toAddGroupWithOne.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2))))))) (MvPolynomial.eval₂.{u1, u2, u3} R S σ (CommRing.toCommSemiring.{u1} R _inst_1) (CommRing.toCommSemiring.{u2} S _inst_2) f g p) (MvPolynomial.eval₂.{u1, u2, u3} R S σ (CommRing.toCommSemiring.{u1} R _inst_1) (CommRing.toCommSemiring.{u2} S _inst_2) f g q))
+  forall {R : Type.{u1}} {S : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommRing.{u1} R] (p : MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) {q : MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)} [_inst_2 : CommRing.{u2} S] (f : RingHom.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (g : σ -> S), Eq.{succ u2} S (MvPolynomial.eval₂.{u1, u2, u3} R S σ (CommRing.toCommSemiring.{u1} R _inst_1) (CommRing.toCommSemiring.{u2} S _inst_2) f g (HSub.hSub.{max u3 u1, max u3 u1, max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroupWithOne.toAddGroupWithOne.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toAddCommGroupWithOne.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u3} R σ _inst_1)))))))) p q)) (HSub.hSub.{u2, u2, u2} S S S (instHSub.{u2} S (SubNegMonoid.toHasSub.{u2} S (AddGroup.toSubNegMonoid.{u2} S (AddGroupWithOne.toAddGroup.{u2} S (AddCommGroupWithOne.toAddGroupWithOne.{u2} S (Ring.toAddCommGroupWithOne.{u2} S (CommRing.toRing.{u2} S _inst_2))))))) (MvPolynomial.eval₂.{u1, u2, u3} R S σ (CommRing.toCommSemiring.{u1} R _inst_1) (CommRing.toCommSemiring.{u2} S _inst_2) f g p) (MvPolynomial.eval₂.{u1, u2, u3} R S σ (CommRing.toCommSemiring.{u1} R _inst_1) (CommRing.toCommSemiring.{u2} S _inst_2) f g q))
 but is expected to have type
   forall {R : Type.{u2}} {S : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommRing.{u2} R] (p : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) {q : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)} [_inst_2 : CommRing.{u3} S] (f : RingHom.{u2, u3} R S (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_1))) (NonAssocRing.toNonAssocSemiring.{u3} S (Ring.toNonAssocRing.{u3} S (CommRing.toRing.{u3} S _inst_2)))) (g : σ -> S), Eq.{succ u3} S (MvPolynomial.eval₂.{u2, u3, u1} R S σ (CommRing.toCommSemiring.{u2} R _inst_1) (CommRing.toCommSemiring.{u3} S _inst_2) f g (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1)))) p q)) (HSub.hSub.{u3, u3, u3} S S S (instHSub.{u3} S (Ring.toSub.{u3} S (CommRing.toRing.{u3} S _inst_2))) (MvPolynomial.eval₂.{u2, u3, u1} R S σ (CommRing.toCommSemiring.{u2} R _inst_1) (CommRing.toCommSemiring.{u3} S _inst_2) f g p) (MvPolynomial.eval₂.{u2, u3, u1} R S σ (CommRing.toCommSemiring.{u2} R _inst_1) (CommRing.toCommSemiring.{u3} S _inst_2) f g q))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_sub MvPolynomial.eval₂_subₓ'. -/
@@ -219,7 +219,7 @@ theorem eval₂_sub : (p - q).eval₂ f g = p.eval₂ f g - q.eval₂ f g :=
 
 /- warning: mv_polynomial.eval₂_neg -> MvPolynomial.eval₂_neg is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {S : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommRing.{u1} R] (p : MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) [_inst_2 : CommRing.{u2} S] (f : RingHom.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (g : σ -> S), Eq.{succ u2} S (MvPolynomial.eval₂.{u1, u2, u3} R S σ (CommRing.toCommSemiring.{u1} R _inst_1) (CommRing.toCommSemiring.{u2} S _inst_2) f g (Neg.neg.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasNeg.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonAssocRing.toAddGroupWithOne.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toNonAssocRing.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u3} R σ _inst_1))))))) p)) (Neg.neg.{u2} S (SubNegMonoid.toHasNeg.{u2} S (AddGroup.toSubNegMonoid.{u2} S (AddGroupWithOne.toAddGroup.{u2} S (NonAssocRing.toAddGroupWithOne.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))))) (MvPolynomial.eval₂.{u1, u2, u3} R S σ (CommRing.toCommSemiring.{u1} R _inst_1) (CommRing.toCommSemiring.{u2} S _inst_2) f g p))
+  forall {R : Type.{u1}} {S : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommRing.{u1} R] (p : MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) [_inst_2 : CommRing.{u2} S] (f : RingHom.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (g : σ -> S), Eq.{succ u2} S (MvPolynomial.eval₂.{u1, u2, u3} R S σ (CommRing.toCommSemiring.{u1} R _inst_1) (CommRing.toCommSemiring.{u2} S _inst_2) f g (Neg.neg.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasNeg.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroupWithOne.toAddGroupWithOne.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toAddCommGroupWithOne.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u3 u1} (MvPolynomial.{u3, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u3} R σ _inst_1))))))) p)) (Neg.neg.{u2} S (SubNegMonoid.toHasNeg.{u2} S (AddGroup.toSubNegMonoid.{u2} S (AddGroupWithOne.toAddGroup.{u2} S (AddCommGroupWithOne.toAddGroupWithOne.{u2} S (Ring.toAddCommGroupWithOne.{u2} S (CommRing.toRing.{u2} S _inst_2)))))) (MvPolynomial.eval₂.{u1, u2, u3} R S σ (CommRing.toCommSemiring.{u1} R _inst_1) (CommRing.toCommSemiring.{u2} S _inst_2) f g p))
 but is expected to have type
   forall {R : Type.{u2}} {S : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommRing.{u2} R] (p : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) [_inst_2 : CommRing.{u3} S] (f : RingHom.{u2, u3} R S (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_1))) (NonAssocRing.toNonAssocSemiring.{u3} S (Ring.toNonAssocRing.{u3} S (CommRing.toRing.{u3} S _inst_2)))) (g : σ -> S), Eq.{succ u3} S (MvPolynomial.eval₂.{u2, u3, u1} R S σ (CommRing.toCommSemiring.{u2} R _inst_1) (CommRing.toCommSemiring.{u3} S _inst_2) f g (Neg.neg.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toNeg.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1))) p)) (Neg.neg.{u3} S (Ring.toNeg.{u3} S (CommRing.toRing.{u3} S _inst_2)) (MvPolynomial.eval₂.{u2, u3, u1} R S σ (CommRing.toCommSemiring.{u2} R _inst_1) (CommRing.toCommSemiring.{u3} S _inst_2) f g p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_neg MvPolynomial.eval₂_negₓ'. -/
@@ -230,7 +230,7 @@ theorem eval₂_neg : (-p).eval₂ f g = -p.eval₂ f g :=
 
 /- warning: mv_polynomial.hom_C -> MvPolynomial.hom_C is a dubious translation:
 lean 3 declaration is
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+  forall {S : Type.{u1}} {σ : Type.{u2}} [_inst_2 : CommRing.{u1} S] (f : RingHom.{u2, u1} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) S (NonAssocRing.toNonAssocSemiring.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (Ring.toNonAssocRing.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (CommRing.toRing.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (MvPolynomial.commRing.{0, u2} Int σ Int.commRing)))) (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S (CommRing.toRing.{u1} S _inst_2)))) (n : Int), Eq.{succ u1} S (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) S (NonAssocRing.toNonAssocSemiring.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (Ring.toNonAssocRing.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (CommRing.toRing.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (MvPolynomial.commRing.{0, u2} Int σ Int.commRing)))) (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S (CommRing.toRing.{u1} S _inst_2)))) (fun (_x : RingHom.{u2, u1} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) S (NonAssocRing.toNonAssocSemiring.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (Ring.toNonAssocRing.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (CommRing.toRing.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (MvPolynomial.commRing.{0, u2} Int σ Int.commRing)))) (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S (CommRing.toRing.{u1} S _inst_2)))) => (MvPolynomial.{u2, 0} σ Int Int.commSemiring) -> S) (RingHom.hasCoeToFun.{u2, u1} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) S (NonAssocRing.toNonAssocSemiring.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (Ring.toNonAssocRing.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (CommRing.toRing.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (MvPolynomial.commRing.{0, u2} Int σ Int.commRing)))) (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S (CommRing.toRing.{u1} S _inst_2)))) f (coeFn.{succ u2, succ u2} (RingHom.{0, u2} Int (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.commSemiring)) (Semiring.toNonAssocSemiring.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (CommSemiring.toSemiring.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u2} Int σ Int.commSemiring)))) (fun (_x : RingHom.{0, u2} Int (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.commSemiring)) (Semiring.toNonAssocSemiring.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (CommSemiring.toSemiring.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u2} Int σ Int.commSemiring)))) => Int -> (MvPolynomial.{u2, 0} σ Int Int.commSemiring)) (RingHom.hasCoeToFun.{0, u2} Int (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.commSemiring)) (Semiring.toNonAssocSemiring.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (CommSemiring.toSemiring.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u2} Int σ Int.commSemiring)))) (MvPolynomial.C.{0, u2} Int σ Int.commSemiring) n)) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int S (HasLiftT.mk.{1, succ u1} Int S (CoeTCₓ.coe.{1, succ u1} Int S (Int.castCoe.{u1} S (AddGroupWithOne.toHasIntCast.{u1} S (AddCommGroupWithOne.toAddGroupWithOne.{u1} S (Ring.toAddCommGroupWithOne.{u1} S (CommRing.toRing.{u1} S _inst_2))))))) n)
 but is expected to have type
   forall {S : Type.{u2}} {σ : Type.{u1}} [_inst_2 : CommRing.{u2} S] (f : RingHom.{u1, u2} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int σ Int.instCommRingInt)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (n : Int), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) => S) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (fun (a : Int) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Int) => MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) a) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toMul.{0} Int (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)))) (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} σ Int 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(NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int σ Int.instCommRingInt)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (fun (_x : MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) => S) _x) (MulHomClass.toFunLike.{max u2 u1, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int σ Int.instCommRingInt)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int σ Int.instCommRingInt)))))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int σ Int.instCommRingInt)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int σ Int.instCommRingInt))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int σ Int.instCommRingInt)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int σ Int.instCommRingInt)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2))) (RingHom.instRingHomClassRingHom.{u1, u2} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int σ Int.instCommRingInt)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2))))))) f (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (fun (_x : Int) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Int) => MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) _x) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toMul.{0} Int (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)))) (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))) (RingHom.instRingHomClassRingHom.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt))))))) (MvPolynomial.C.{0, u1} Int σ Int.instCommSemiringInt) n)) (Int.cast.{u2} S (Ring.toIntCast.{u2} S (CommRing.toRing.{u2} S _inst_2)) n)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.hom_C MvPolynomial.hom_Cₓ'. -/
@@ -283,7 +283,7 @@ section DegreeOf
 
 /- warning: mv_polynomial.degree_of_sub_lt -> MvPolynomial.degreeOf_sub_lt is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommRing.{u1} R] {x : σ} {f : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)} {g : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)} {k : Nat}, (LT.lt.{0} Nat Nat.hasLt (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))) k) -> (forall (m : Finsupp.{u2, 0} σ Nat Nat.hasZero), (Membership.Mem.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasMem.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) m (MvPolynomial.support.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) f)) -> (LE.le.{0} Nat Nat.hasLe k (coeFn.{succ u2, succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (_x : Finsupp.{u2, 0} σ Nat Nat.hasZero) => σ -> Nat) (Finsupp.coeFun.{u2, 0} σ Nat Nat.hasZero) m x)) -> (Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) m f) (MvPolynomial.coeff.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) m g))) -> (forall (m : Finsupp.{u2, 0} σ Nat Nat.hasZero), (Membership.Mem.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasMem.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) m (MvPolynomial.support.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) g)) -> (LE.le.{0} Nat Nat.hasLe k (coeFn.{succ u2, succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (_x : Finsupp.{u2, 0} σ Nat Nat.hasZero) => σ -> Nat) (Finsupp.coeFun.{u2, 0} σ Nat Nat.hasZero) m x)) -> (Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) m f) (MvPolynomial.coeff.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) m g))) -> (LT.lt.{0} Nat Nat.hasLt (MvPolynomial.degreeOf.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) x (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonAssocRing.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toNonAssocRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1)))))))) f g)) k)
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommRing.{u1} R] {x : σ} {f : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)} {g : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)} {k : Nat}, (LT.lt.{0} Nat Nat.hasLt (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))) k) -> (forall (m : Finsupp.{u2, 0} σ Nat Nat.hasZero), (Membership.Mem.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasMem.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) m (MvPolynomial.support.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) f)) -> (LE.le.{0} Nat Nat.hasLe k (coeFn.{succ u2, succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (_x : Finsupp.{u2, 0} σ Nat Nat.hasZero) => σ -> Nat) (Finsupp.coeFun.{u2, 0} σ Nat Nat.hasZero) m x)) -> (Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) m f) (MvPolynomial.coeff.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) m g))) -> (forall (m : Finsupp.{u2, 0} σ Nat Nat.hasZero), (Membership.Mem.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasMem.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) m (MvPolynomial.support.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) g)) -> (LE.le.{0} Nat Nat.hasLe k (coeFn.{succ u2, succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (_x : Finsupp.{u2, 0} σ Nat Nat.hasZero) => σ -> Nat) (Finsupp.coeFun.{u2, 0} σ Nat Nat.hasZero) m x)) -> (Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) m f) (MvPolynomial.coeff.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) m g))) -> (LT.lt.{0} Nat Nat.hasLt (MvPolynomial.degreeOf.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) x (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroupWithOne.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toAddCommGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1)))))))) f g)) k)
 but is expected to have type
   forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommRing.{u2} R] {x : σ} {f : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)} {g : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)} {k : Nat}, (LT.lt.{0} Nat instLTNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) k) -> (forall (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), (Membership.mem.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instMembershipFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) m (MvPolynomial.support.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) f)) -> (LE.le.{0} Nat instLENat k (FunLike.coe.{succ u1, succ u1, 1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) σ (fun (_x : σ) => (fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) _x) (Finsupp.funLike.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) m x)) -> (Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) m f) (MvPolynomial.coeff.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) m g))) -> (forall (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), (Membership.mem.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instMembershipFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) m (MvPolynomial.support.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) g)) -> (LE.le.{0} Nat instLENat k (FunLike.coe.{succ u1, succ u1, 1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) σ (fun (_x : σ) => (fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) _x) (Finsupp.funLike.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) m x)) -> (Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) m f) (MvPolynomial.coeff.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) m g))) -> (LT.lt.{0} Nat instLTNat (MvPolynomial.degreeOf.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) x (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1)))) f g)) k)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.degree_of_sub_lt MvPolynomial.degreeOf_sub_ltₓ'. -/
@@ -308,7 +308,7 @@ section TotalDegree
 
 /- warning: mv_polynomial.total_degree_neg -> MvPolynomial.totalDegree_neg is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommRing.{u1} R] (a : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)), Eq.{1} Nat (MvPolynomial.totalDegree.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) (Neg.neg.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasNeg.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonAssocRing.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toNonAssocRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1))))))) a)) (MvPolynomial.totalDegree.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) a)
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommRing.{u1} R] (a : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)), Eq.{1} Nat (MvPolynomial.totalDegree.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) (Neg.neg.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasNeg.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroupWithOne.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toAddCommGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1))))))) a)) (MvPolynomial.totalDegree.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) a)
 but is expected to have type
   forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommRing.{u2} R] (a : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)), Eq.{1} Nat (MvPolynomial.totalDegree.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) (Neg.neg.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toNeg.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1))) a)) (MvPolynomial.totalDegree.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) a)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.total_degree_neg MvPolynomial.totalDegree_negₓ'. -/
@@ -319,7 +319,7 @@ theorem totalDegree_neg (a : MvPolynomial σ R) : (-a).totalDegree = a.totalDegr
 
 /- warning: mv_polynomial.total_degree_sub -> MvPolynomial.totalDegree_sub is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommRing.{u1} R] (a : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (b : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)), LE.le.{0} Nat Nat.hasLe (MvPolynomial.totalDegree.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonAssocRing.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toNonAssocRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1)))))))) a b)) (LinearOrder.max.{0} Nat Nat.linearOrder (MvPolynomial.totalDegree.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) a) (MvPolynomial.totalDegree.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) b))
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommRing.{u1} R] (a : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (b : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)), LE.le.{0} Nat Nat.hasLe (MvPolynomial.totalDegree.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroupWithOne.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toAddCommGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1)))))))) a b)) (LinearOrder.max.{0} Nat Nat.linearOrder (MvPolynomial.totalDegree.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) a) (MvPolynomial.totalDegree.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) b))
 but is expected to have type
   forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommRing.{u2} R] (a : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (b : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)), LE.le.{0} Nat instLENat (MvPolynomial.totalDegree.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1)))) a b)) (Max.max.{0} Nat Nat.instMaxNat (MvPolynomial.totalDegree.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) a) (MvPolynomial.totalDegree.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) b))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.total_degree_sub MvPolynomial.totalDegree_subₓ'. -/

1dac236e

bump to nightly-2023-03-20-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/7ec294687917cbc5c73620b4414ae9b5dd9ae1b4

2e1f2c13

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Johan Commelin, Mario Carneiro
 
 ! This file was ported from Lean 3 source module data.mv_polynomial.comm_ring
-! leanprover-community/mathlib commit 972aa4234fa56ce119d19506045158a9d76881fd
+! leanprover-community/mathlib commit 1dac236edca9b4b6f5f00b1ad831e35f89472837
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -13,6 +13,9 @@ import Mathbin.Data.MvPolynomial.Variables
 /-!
 # Multivariate polynomials over a ring
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 Many results about polynomials hold when the coefficient ring is a commutative semiring.
 Some stronger results can be derived when we assume this semiring is a ring.

972aa423

bump to nightly-2023-03-18-18

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

eb7660d5

Diff

@@ -65,31 +65,67 @@ instance : CommRing (MvPolynomial σ R) :=
 
 variable (σ a a')
 
+/- warning: mv_polynomial.C_sub -> MvPolynomial.C_sub is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} (σ : Type.{u2}) (a : R) (a' : R) [_inst_1 : CommRing.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) => R -> (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) (MvPolynomial.C.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1)) (HSub.hSub.{u1, u1, u1} R R R (instHSub.{u1} R (SubNegMonoid.toHasSub.{u1} R (AddGroup.toSubNegMonoid.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (NonAssocRing.toAddGroupWithOne.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1))))))) a a')) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonAssocRing.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toNonAssocRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1)))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) => R -> (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) (MvPolynomial.C.{u1, u2} R 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(MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) => R -> (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) (MvPolynomial.C.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1)) a'))
+but is expected to have type
+  forall {R : Type.{u2}} (σ : Type.{u1}) (a : R) (a' : R) [_inst_1 : CommRing.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (HSub.hSub.{u2, u2, u2} R R R (instHSub.{u2} R (Ring.toSub.{u2} R (CommRing.toRing.{u2} R _inst_1))) a a')) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.commSemiring.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) 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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_sub MvPolynomial.C_subₓ'. -/
 @[simp]
-theorem c_sub : (C (a - a') : MvPolynomial σ R) = C a - C a' :=
+theorem C_sub : (C (a - a') : MvPolynomial σ R) = C a - C a' :=
   RingHom.map_sub _ _ _
-#align mv_polynomial.C_sub MvPolynomial.c_sub
-
+#align mv_polynomial.C_sub MvPolynomial.C_sub
+
+/- warning: mv_polynomial.C_neg -> MvPolynomial.C_neg is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} (σ : Type.{u2}) (a : R) [_inst_1 : CommRing.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) => R -> (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) (MvPolynomial.C.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1)) (Neg.neg.{u1} R (SubNegMonoid.toHasNeg.{u1} R (AddGroup.toSubNegMonoid.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (NonAssocRing.toAddGroupWithOne.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) a)) (Neg.neg.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasNeg.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonAssocRing.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toNonAssocRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) => R -> (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commSemiring.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1))))) (MvPolynomial.C.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1)) a))
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_neg MvPolynomial.C_negₓ'. -/
 @[simp]
-theorem c_neg : (C (-a) : MvPolynomial σ R) = -C a :=
+theorem C_neg : (C (-a) : MvPolynomial σ R) = -C a :=
   RingHom.map_neg _ _
-#align mv_polynomial.C_neg MvPolynomial.c_neg
-
+#align mv_polynomial.C_neg MvPolynomial.C_neg
+
+/- warning: mv_polynomial.coeff_neg -> MvPolynomial.coeff_neg is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_neg MvPolynomial.coeff_negₓ'. -/
 @[simp]
 theorem coeff_neg (m : σ →₀ ℕ) (p : MvPolynomial σ R) : coeff m (-p) = -coeff m p :=
   Finsupp.neg_apply _ _
 #align mv_polynomial.coeff_neg MvPolynomial.coeff_neg
 
+/- warning: mv_polynomial.coeff_sub -> MvPolynomial.coeff_sub is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} (σ : Type.{u2}) [_inst_1 : CommRing.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (p : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (q : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) m (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonAssocRing.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toNonAssocRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1)))))))) p q)) (HSub.hSub.{u1, u1, u1} R R R (instHSub.{u1} R (SubNegMonoid.toHasSub.{u1} R (AddGroup.toSubNegMonoid.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (NonAssocRing.toAddGroupWithOne.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1))))))) (MvPolynomial.coeff.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) m p) (MvPolynomial.coeff.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) m q))
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_sub MvPolynomial.coeff_subₓ'. -/
 @[simp]
 theorem coeff_sub (m : σ →₀ ℕ) (p q : MvPolynomial σ R) : coeff m (p - q) = coeff m p - coeff m q :=
   Finsupp.sub_apply _ _ _
 #align mv_polynomial.coeff_sub MvPolynomial.coeff_sub
 
+/- warning: mv_polynomial.support_neg -> MvPolynomial.support_neg is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {R : Type.{u2}} (σ : Type.{u1}) [_inst_1 : CommRing.{u2} R] {p : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)}, Eq.{succ u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) (Neg.neg.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toNeg.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1))) p)) (MvPolynomial.support.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) p)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_neg MvPolynomial.support_negₓ'. -/
 @[simp]
 theorem support_neg : (-p).support = p.support :=
   Finsupp.support_neg p
 #align mv_polynomial.support_neg MvPolynomial.support_neg
 
+/- warning: mv_polynomial.support_sub -> MvPolynomial.support_sub is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} (σ : Type.{u2}) [_inst_1 : CommRing.{u1} R] (p : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (q : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)), HasSubset.Subset.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonAssocRing.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toNonAssocRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1)))))))) p q)) (Union.union.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasUnion.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u2} σ a b)) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b)) (MvPolynomial.support.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) p) (MvPolynomial.support.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) q))
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_sub MvPolynomial.support_subₓ'. -/
 theorem support_sub (p q : MvPolynomial σ R) : (p - q).support ⊆ p.support ∪ q.support :=
   Finsupp.support_sub
 #align mv_polynomial.support_sub MvPolynomial.support_sub
@@ -98,10 +134,22 @@ variable {σ} (p)
 
 section Degrees
 
+/- warning: mv_polynomial.degrees_neg -> MvPolynomial.degrees_neg is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommRing.{u1} R] (p : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)), Eq.{succ u2} (Multiset.{u2} σ) (MvPolynomial.degrees.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) (Neg.neg.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasNeg.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonAssocRing.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toNonAssocRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1))))))) p)) (MvPolynomial.degrees.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) p)
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommRing.{u2} R] (p : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)), Eq.{succ u1} (Multiset.{u1} σ) (MvPolynomial.degrees.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) (Neg.neg.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toNeg.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1))) p)) (MvPolynomial.degrees.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) p)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.degrees_neg MvPolynomial.degrees_negₓ'. -/
 theorem degrees_neg (p : MvPolynomial σ R) : (-p).degrees = p.degrees := by
   rw [degrees, support_neg] <;> rfl
 #align mv_polynomial.degrees_neg MvPolynomial.degrees_neg
 
+/- warning: mv_polynomial.degrees_sub -> MvPolynomial.degrees_sub is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommRing.{u2} R] (p : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (q : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)), LE.le.{u1} (Multiset.{u1} σ) (Preorder.toLE.{u1} (Multiset.{u1} σ) (PartialOrder.toPreorder.{u1} (Multiset.{u1} σ) (Multiset.instPartialOrderMultiset.{u1} σ))) (MvPolynomial.degrees.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1)))) p q)) (Sup.sup.{u1} (Multiset.{u1} σ) (SemilatticeSup.toSup.{u1} (Multiset.{u1} σ) (Lattice.toSemilatticeSup.{u1} (Multiset.{u1} σ) (Multiset.instLatticeMultiset.{u1} σ (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u1} σ a b))))) (MvPolynomial.degrees.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) p) (MvPolynomial.degrees.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) q))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.degrees_sub MvPolynomial.degrees_subₓ'. -/
 theorem degrees_sub (p q : MvPolynomial σ R) : (p - q).degrees ≤ p.degrees ⊔ q.degrees := by
   simpa only [sub_eq_add_neg] using le_trans (degrees_add p (-q)) (by rw [degrees_neg])
 #align mv_polynomial.degrees_sub MvPolynomial.degrees_sub
@@ -112,16 +160,34 @@ section Vars
 
 variable (p q)
 
+/- warning: mv_polynomial.vars_neg -> MvPolynomial.vars_neg is a dubious translation:
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+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommRing.{u2} R] (p : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)), Eq.{succ u1} (Finset.{u1} σ) (MvPolynomial.vars.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) (Neg.neg.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toNeg.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1))) p)) (MvPolynomial.vars.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) p)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.vars_neg MvPolynomial.vars_negₓ'. -/
 @[simp]
 theorem vars_neg : (-p).vars = p.vars := by simp [vars, degrees_neg]
 #align mv_polynomial.vars_neg MvPolynomial.vars_neg
 
+/- warning: mv_polynomial.vars_sub_subset -> MvPolynomial.vars_sub_subset is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.vars_sub_subset MvPolynomial.vars_sub_subsetₓ'. -/
 theorem vars_sub_subset : (p - q).vars ⊆ p.vars ∪ q.vars := by
   convert vars_add_subset p (-q) using 2 <;> simp [sub_eq_add_neg]
 #align mv_polynomial.vars_sub_subset MvPolynomial.vars_sub_subset
 
 variable {p q}
 
+/- warning: mv_polynomial.vars_sub_of_disjoint -> MvPolynomial.vars_sub_of_disjoint is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.vars_sub_of_disjoint MvPolynomial.vars_sub_of_disjointₓ'. -/
 @[simp]
 theorem vars_sub_of_disjoint (hpq : Disjoint p.vars q.vars) : (p - q).vars = p.vars ∪ q.vars :=
   by
@@ -137,24 +203,48 @@ variable [CommRing S]
 
 variable (f : R →+* S) (g : σ → S)
 
+/- warning: mv_polynomial.eval₂_sub -> MvPolynomial.eval₂_sub is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_sub MvPolynomial.eval₂_subₓ'. -/
 @[simp]
 theorem eval₂_sub : (p - q).eval₂ f g = p.eval₂ f g - q.eval₂ f g :=
   (eval₂Hom f g).map_sub _ _
 #align mv_polynomial.eval₂_sub MvPolynomial.eval₂_sub
 
+/- warning: mv_polynomial.eval₂_neg -> MvPolynomial.eval₂_neg is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_neg MvPolynomial.eval₂_negₓ'. -/
 @[simp]
 theorem eval₂_neg : (-p).eval₂ f g = -p.eval₂ f g :=
   (eval₂Hom f g).map_neg _
 #align mv_polynomial.eval₂_neg MvPolynomial.eval₂_neg
 
-theorem hom_c (f : MvPolynomial σ ℤ →+* S) (n : ℤ) : f (C n) = (n : S) :=
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(Int.cast.{u2} S (Ring.toIntCast.{u2} S (CommRing.toRing.{u2} S _inst_2)) n)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.hom_C MvPolynomial.hom_Cₓ'. -/
+theorem hom_C (f : MvPolynomial σ ℤ →+* S) (n : ℤ) : f (C n) = (n : S) :=
   eq_intCast (f.comp C) n
-#align mv_polynomial.hom_C MvPolynomial.hom_c
-
+#align mv_polynomial.hom_C MvPolynomial.hom_C
+
+/- warning: mv_polynomial.eval₂_hom_X -> MvPolynomial.eval₂Hom_X is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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(NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int R Int.instCommRingInt)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2))) (RingHom.instRingHomClassRingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int R Int.instCommRingInt)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2))))))) f) (MvPolynomial.X.{0, u1} Int R Int.instCommSemiringInt)) x) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int R Int.instCommRingInt)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (fun (_x : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => S) _x) 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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int R Int.instCommRingInt))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int R Int.instCommRingInt)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int R Int.instCommRingInt)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2))) (RingHom.instRingHomClassRingHom.{u1, u2} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) S (NonAssocRing.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommRing.toRing.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u1} Int R Int.instCommRingInt)))) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S (CommRing.toRing.{u2} S _inst_2))))))) f x)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_X MvPolynomial.eval₂Hom_Xₓ'. -/
 /-- A ring homomorphism f : Z[X_1, X_2, ...] → R
 is determined by the evaluations f(X_1), f(X_2), ... -/
 @[simp]
-theorem eval₂_hom_x {R : Type u} (c : ℤ →+* S) (f : MvPolynomial R ℤ →+* S) (x : MvPolynomial R ℤ) :
+theorem eval₂Hom_X {R : Type u} (c : ℤ →+* S) (f : MvPolynomial R ℤ →+* S) (x : MvPolynomial R ℤ) :
     eval₂ c (f ∘ X) x = f x :=
   MvPolynomial.induction_on x
     (fun n => by
@@ -166,15 +256,21 @@ theorem eval₂_hom_x {R : Type u} (c : ℤ →+* S) (f : MvPolynomial R ℤ →
     fun p n hp => by
     rw [eval₂_mul, eval₂_X, hp]
     exact (f.map_mul _ _).symm
-#align mv_polynomial.eval₂_hom_X MvPolynomial.eval₂_hom_x
-
+#align mv_polynomial.eval₂_hom_X MvPolynomial.eval₂Hom_X
+
+/- warning: mv_polynomial.hom_equiv -> MvPolynomial.homEquiv is a dubious translation:
+lean 3 declaration is
+  forall {S : Type.{u1}} {σ : Type.{u2}} [_inst_2 : CommRing.{u1} S], Equiv.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) S (NonAssocRing.toNonAssocSemiring.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (Ring.toNonAssocRing.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (CommRing.toRing.{u2} (MvPolynomial.{u2, 0} σ Int Int.commSemiring) (MvPolynomial.commRing.{0, u2} Int σ Int.commRing)))) (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S (CommRing.toRing.{u1} S _inst_2)))) (σ -> S)
+but is expected to have type
+  forall {S : Type.{u1}} {σ : Type.{u2}} [_inst_2 : CommRing.{u1} S], Equiv.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u2, u1} (MvPolynomial.{u2, 0} σ Int Int.instCommSemiringInt) S (NonAssocRing.toNonAssocSemiring.{u2} (MvPolynomial.{u2, 0} σ Int Int.instCommSemiringInt) (Ring.toNonAssocRing.{u2} (MvPolynomial.{u2, 0} σ Int Int.instCommSemiringInt) (CommRing.toRing.{u2} (MvPolynomial.{u2, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{0, u2} Int σ Int.instCommRingInt)))) (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S (CommRing.toRing.{u1} S _inst_2)))) (σ -> S)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.hom_equiv MvPolynomial.homEquivₓ'. -/
 /-- Ring homomorphisms out of integer polynomials on a type `σ` are the same as
 functions out of the type `σ`, -/
 def homEquiv : (MvPolynomial σ ℤ →+* S) ≃ (σ → S)
     where
   toFun f := ⇑f ∘ X
   invFun f := eval₂Hom (Int.castRingHom S) f
-  left_inv f := RingHom.ext <| eval₂_hom_x _ _
+  left_inv f := RingHom.ext <| eval₂Hom_X _ _
   right_inv f := funext fun x => by simp only [coe_eval₂_hom, Function.comp_apply, eval₂_X]
 #align mv_polynomial.hom_equiv MvPolynomial.homEquiv
 
@@ -182,6 +278,12 @@ end Eval₂
 
 section DegreeOf
 
+/- warning: mv_polynomial.degree_of_sub_lt -> MvPolynomial.degreeOf_sub_lt is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommRing.{u1} R] {x : σ} {f : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)} {g : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)} {k : Nat}, (LT.lt.{0} Nat Nat.hasLt (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))) k) -> (forall (m : Finsupp.{u2, 0} σ Nat Nat.hasZero), (Membership.Mem.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasMem.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) m (MvPolynomial.support.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) f)) -> (LE.le.{0} Nat Nat.hasLe k (coeFn.{succ u2, succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (_x : Finsupp.{u2, 0} σ Nat Nat.hasZero) => σ -> Nat) (Finsupp.coeFun.{u2, 0} σ Nat Nat.hasZero) m x)) -> (Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) m f) (MvPolynomial.coeff.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) m g))) -> (forall (m : Finsupp.{u2, 0} σ Nat Nat.hasZero), (Membership.Mem.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasMem.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) m (MvPolynomial.support.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) g)) -> (LE.le.{0} Nat Nat.hasLe k (coeFn.{succ u2, succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (_x : Finsupp.{u2, 0} σ Nat Nat.hasZero) => σ -> Nat) (Finsupp.coeFun.{u2, 0} σ Nat Nat.hasZero) m x)) -> (Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) m f) (MvPolynomial.coeff.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) m g))) -> (LT.lt.{0} Nat Nat.hasLt (MvPolynomial.degreeOf.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) x (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonAssocRing.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toNonAssocRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1)))))))) f g)) k)
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommRing.{u2} R] {x : σ} {f : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)} {g : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)} {k : Nat}, (LT.lt.{0} Nat instLTNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) k) -> (forall (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), (Membership.mem.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instMembershipFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) m (MvPolynomial.support.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) f)) -> (LE.le.{0} Nat instLENat k (FunLike.coe.{succ u1, succ u1, 1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) σ (fun (_x : σ) => (fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) _x) (Finsupp.funLike.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) m x)) -> (Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) m f) (MvPolynomial.coeff.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) m g))) -> (forall (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), (Membership.mem.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instMembershipFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) m (MvPolynomial.support.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) g)) -> (LE.le.{0} Nat instLENat k (FunLike.coe.{succ u1, succ u1, 1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) σ (fun (_x : σ) => (fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) _x) (Finsupp.funLike.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) m x)) -> (Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) m f) (MvPolynomial.coeff.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) m g))) -> (LT.lt.{0} Nat instLTNat (MvPolynomial.degreeOf.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) x (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1)))) f g)) k)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.degree_of_sub_lt MvPolynomial.degreeOf_sub_ltₓ'. -/
 theorem degreeOf_sub_lt {x : σ} {f g : MvPolynomial σ R} {k : ℕ} (h : 0 < k)
     (hf : ∀ m : σ →₀ ℕ, m ∈ f.support → k ≤ m x → coeff m f = coeff m g)
     (hg : ∀ m : σ →₀ ℕ, m ∈ g.support → k ≤ m x → coeff m f = coeff m g) : degreeOf x (f - g) < k :=
@@ -201,11 +303,23 @@ end DegreeOf
 
 section TotalDegree
 
+/- warning: mv_polynomial.total_degree_neg -> MvPolynomial.totalDegree_neg is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommRing.{u1} R] (a : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)), Eq.{1} Nat (MvPolynomial.totalDegree.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) (Neg.neg.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasNeg.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonAssocRing.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toNonAssocRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1))))))) a)) (MvPolynomial.totalDegree.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) a)
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommRing.{u2} R] (a : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)), Eq.{1} Nat (MvPolynomial.totalDegree.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) (Neg.neg.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toNeg.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1))) a)) (MvPolynomial.totalDegree.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) a)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.total_degree_neg MvPolynomial.totalDegree_negₓ'. -/
 @[simp]
 theorem totalDegree_neg (a : MvPolynomial σ R) : (-a).totalDegree = a.totalDegree := by
   simp only [total_degree, support_neg]
 #align mv_polynomial.total_degree_neg MvPolynomial.totalDegree_neg
 
+/- warning: mv_polynomial.total_degree_sub -> MvPolynomial.totalDegree_sub is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommRing.{u1} R] (a : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (b : MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)), LE.le.{0} Nat Nat.hasLe (MvPolynomial.totalDegree.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (SubNegMonoid.toHasSub.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroup.toSubNegMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddGroupWithOne.toAddGroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonAssocRing.toAddGroupWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (Ring.toNonAssocRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u2, u1} σ R (CommRing.toCommSemiring.{u1} R _inst_1)) (MvPolynomial.commRing.{u1, u2} R σ _inst_1)))))))) a b)) (LinearOrder.max.{0} Nat Nat.linearOrder (MvPolynomial.totalDegree.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) a) (MvPolynomial.totalDegree.{u1, u2} R σ (CommRing.toCommSemiring.{u1} R _inst_1) b))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommRing.{u2} R] (a : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (b : MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)), LE.le.{0} Nat instLENat (MvPolynomial.totalDegree.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (instHSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (Ring.toSub.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommRing.toRing.{max u2 u1} (MvPolynomial.{u1, u2} σ R (CommRing.toCommSemiring.{u2} R _inst_1)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u2, u1} R σ _inst_1)))) a b)) (Max.max.{0} Nat Nat.instMaxNat (MvPolynomial.totalDegree.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) a) (MvPolynomial.totalDegree.{u2, u1} R σ (CommRing.toCommSemiring.{u2} R _inst_1) b))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.total_degree_sub MvPolynomial.totalDegree_subₓ'. -/
 theorem totalDegree_sub (a b : MvPolynomial σ R) :
     (a - b).totalDegree ≤ max a.totalDegree b.totalDegree :=
   calc

972aa423

bump to nightly-2023-03-15-10

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

f73428b0

Diff

@@ -66,12 +66,12 @@ instance : CommRing (MvPolynomial σ R) :=
 variable (σ a a')
 
 @[simp]
-theorem c_sub : (c (a - a') : MvPolynomial σ R) = c a - c a' :=
+theorem c_sub : (C (a - a') : MvPolynomial σ R) = C a - C a' :=
   RingHom.map_sub _ _ _
 #align mv_polynomial.C_sub MvPolynomial.c_sub
 
 @[simp]
-theorem c_neg : (c (-a) : MvPolynomial σ R) = -c a :=
+theorem c_neg : (C (-a) : MvPolynomial σ R) = -C a :=
   RingHom.map_neg _ _
 #align mv_polynomial.C_neg MvPolynomial.c_neg
 
@@ -147,15 +147,15 @@ theorem eval₂_neg : (-p).eval₂ f g = -p.eval₂ f g :=
   (eval₂Hom f g).map_neg _
 #align mv_polynomial.eval₂_neg MvPolynomial.eval₂_neg
 
-theorem hom_c (f : MvPolynomial σ ℤ →+* S) (n : ℤ) : f (c n) = (n : S) :=
-  eq_intCast (f.comp c) n
+theorem hom_c (f : MvPolynomial σ ℤ →+* S) (n : ℤ) : f (C n) = (n : S) :=
+  eq_intCast (f.comp C) n
 #align mv_polynomial.hom_C MvPolynomial.hom_c
 
 /-- A ring homomorphism f : Z[X_1, X_2, ...] → R
 is determined by the evaluations f(X_1), f(X_2), ... -/
 @[simp]
 theorem eval₂_hom_x {R : Type u} (c : ℤ →+* S) (f : MvPolynomial R ℤ →+* S) (x : MvPolynomial R ℤ) :
-    eval₂ c (f ∘ x) x = f x :=
+    eval₂ c (f ∘ X) x = f x :=
   MvPolynomial.induction_on x
     (fun n => by
       rw [hom_C f, eval₂_C]
@@ -172,7 +172,7 @@ theorem eval₂_hom_x {R : Type u} (c : ℤ →+* S) (f : MvPolynomial R ℤ →
 functions out of the type `σ`, -/
 def homEquiv : (MvPolynomial σ ℤ →+* S) ≃ (σ → S)
     where
-  toFun f := ⇑f ∘ x
+  toFun f := ⇑f ∘ X
   invFun f := eval₂Hom (Int.castRingHom S) f
   left_inv f := RingHom.ext <| eval₂_hom_x _ _
   right_inv f := funext fun x => by simp only [coe_eval₂_hom, Function.comp_apply, eval₂_X]

972aa423

bump to nightly-2023-03-01-20

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

20cadee0

Diff

@@ -210,7 +210,7 @@ theorem totalDegree_sub (a b : MvPolynomial σ R) :
     (a - b).totalDegree ≤ max a.totalDegree b.totalDegree :=
   calc
     (a - b).totalDegree = (a + -b).totalDegree := by rw [sub_eq_add_neg]
-    _ ≤ max a.totalDegree (-b).totalDegree := totalDegree_add a (-b)
+    _ ≤ max a.totalDegree (-b).totalDegree := (totalDegree_add a (-b))
     _ = max a.totalDegree b.totalDegree := by rw [total_degree_neg]
     
 #align mv_polynomial.total_degree_sub MvPolynomial.totalDegree_sub

972aa423

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

2f5b500a

chore: superfluous parentheses part 2 (#12131)

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

d48d30ac

Diff

@@ -208,7 +208,7 @@ theorem totalDegree_sub (a b : MvPolynomial σ R) :
     (a - b).totalDegree ≤ max a.totalDegree b.totalDegree :=
   calc
     (a - b).totalDegree = (a + -b).totalDegree := by rw [sub_eq_add_neg]
-    _ ≤ max a.totalDegree (-b).totalDegree := (totalDegree_add a (-b))
+    _ ≤ max a.totalDegree (-b).totalDegree := totalDegree_add a (-b)
     _ = max a.totalDegree b.totalDegree := by rw [totalDegree_neg]
 #align mv_polynomial.total_degree_sub MvPolynomial.totalDegree_sub

2f5b500a

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

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

56e439ec

Diff

@@ -3,7 +3,7 @@ Copyright (c) 2017 Johannes Hölzl. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Johan Commelin, Mario Carneiro
 -/
-import Mathlib.Data.MvPolynomial.Variables
+import Mathlib.Algebra.MvPolynomial.Variables
 
 #align_import data.mv_polynomial.comm_ring from "leanprover-community/mathlib"@"2f5b500a507264de86d666a5f87ddb976e2d8de4"

2f5b500a

chore: avoid Ne.def (adaptation for nightly-2024-03-27) (#11801)

1b40c7bc

Diff

@@ -189,7 +189,7 @@ theorem degreeOf_sub_lt {x : σ} {f g : MvPolynomial σ R} {k : ℕ} (h : 0 < k)
   intro m hm
   by_contra! hc
   have h := support_sub σ f g hm
-  simp only [mem_support_iff, Ne.def, coeff_sub, sub_eq_zero] at hm
+  simp only [mem_support_iff, Ne, coeff_sub, sub_eq_zero] at hm
   cases' Finset.mem_union.1 h with cf cg
   · exact hm (hf m cf hc)
   · exact hm (hg m cg hc)

2f5b500a

chore(*): remove empty lines between variable statements (#11418)

Empty lines were removed by executing the following Python script twice

import os
import re


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

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

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

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

75c86f04

Diff

@@ -50,7 +50,6 @@ variable {σ : Type*} {a a' a₁ a₂ : R} {e : ℕ} {n m : σ} {s : σ →₀ 
 section CommRing
 
 variable [CommRing R]
-
 variable {p q : MvPolynomial σ R}
 
 instance instCommRingMvPolynomial : CommRing (MvPolynomial σ R) :=
@@ -127,7 +126,6 @@ end Vars
 section Eval
 
 variable [CommRing S]
-
 variable (f : R →+* S) (g : σ → S)
 
 @[simp]

2f5b500a

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

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

de765f60

Diff

@@ -58,13 +58,13 @@ instance instCommRingMvPolynomial : CommRing (MvPolynomial σ R) :=
 
 variable (σ a a')
 
--- @[simp] -- Porting note: simp can prove this
+-- @[simp] -- Porting note (#10618): simp can prove this
 theorem C_sub : (C (a - a') : MvPolynomial σ R) = C a - C a' :=
   RingHom.map_sub _ _ _
 set_option linter.uppercaseLean3 false in
 #align mv_polynomial.C_sub MvPolynomial.C_sub
 
--- @[simp] -- Porting note: simp can prove this
+-- @[simp] -- Porting note (#10618): simp can prove this
 theorem C_neg : (C (-a) : MvPolynomial σ R) = -C a :=
   RingHom.map_neg _ _
 set_option linter.uppercaseLean3 false in

2f5b500a

feat: add a few lemmas about MvPolynomial.totalDegree (#8815)

From hairer.

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

0fee6f37

Diff

@@ -214,6 +214,10 @@ theorem totalDegree_sub (a b : MvPolynomial σ R) :
     _ = max a.totalDegree b.totalDegree := by rw [totalDegree_neg]
 #align mv_polynomial.total_degree_sub MvPolynomial.totalDegree_sub
 
+theorem totalDegree_sub_C_le (p : MvPolynomial σ R) (r : R) :
+    totalDegree (p - C r) ≤ totalDegree p :=
+  (totalDegree_sub _ _).trans_eq <| by rw [totalDegree_C, Nat.max_zero]
+
 end TotalDegree
 
 end CommRing

2f5b500a

chore: rename by_contra' to by_contra! (#8797)

To fit with the "please try harder" convention of ! tactics.

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

738b1a97

Diff

@@ -189,7 +189,7 @@ theorem degreeOf_sub_lt {x : σ} {f g : MvPolynomial σ R} {k : ℕ} (h : 0 < k)
   classical
   rw [degreeOf_lt_iff h]
   intro m hm
-  by_contra' hc
+  by_contra! hc
   have h := support_sub σ f g hm
   simp only [mem_support_iff, Ne.def, coeff_sub, sub_eq_zero] at hm
   cases' Finset.mem_union.1 h with cf cg

2f5b500a

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

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

This has nice performance benefits.

32de3f67

Diff

@@ -21,7 +21,7 @@ As in other polynomial files, we typically use the notation:
 
 + `σ : Type*` (indexing the variables)
 
-+ `R : Type _` `[CommRing R]` (the coefficients)
++ `R : Type*` `[CommRing R]` (the coefficients)
 
 + `s : σ →₀ ℕ`, a function from `σ` to `ℕ` which is zero away from a finite set.
 This will give rise to a monomial in `MvPolynomial σ R` which mathematicians might call `X^s`
@@ -45,7 +45,7 @@ variable {R : Type u} {S : Type v}
 
 namespace MvPolynomial
 
-variable {σ : Type _} {a a' a₁ a₂ : R} {e : ℕ} {n m : σ} {s : σ →₀ ℕ}
+variable {σ : Type*} {a a' a₁ a₂ : R} {e : ℕ} {n m : σ} {s : σ →₀ ℕ}
 
 section CommRing

2f5b500a

chore: ensure all instances referred to directly have explicit names (#6423)

Per https://github.com/leanprover/lean4/issues/2343, we are going to need to change the automatic generation of instance names, as they become too long.

This PR ensures that everywhere in Mathlib that refers to an instance by name, that name is given explicitly, rather than being automatically generated.

There are four exceptions, which are now commented, with links to https://github.com/leanprover/lean4/issues/2343.

This was implemented by running Mathlib against a modified Lean that appended _ᾰ to all automatically generated names, and fixing everything.

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

65a35f78

Diff

@@ -53,7 +53,7 @@ variable [CommRing R]
 
 variable {p q : MvPolynomial σ R}
 
-instance : CommRing (MvPolynomial σ R) :=
+instance instCommRingMvPolynomial : CommRing (MvPolynomial σ R) :=
   AddMonoidAlgebra.commRing
 
 variable (σ a a')

2f5b500a

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

depends on: #5966

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

89aa3a3b

Diff

@@ -2,14 +2,11 @@
 Copyright (c) 2017 Johannes Hölzl. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Johan Commelin, Mario Carneiro
-
-! This file was ported from Lean 3 source module data.mv_polynomial.comm_ring
-! leanprover-community/mathlib commit 2f5b500a507264de86d666a5f87ddb976e2d8de4
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Data.MvPolynomial.Variables
 
+#align_import data.mv_polynomial.comm_ring from "leanprover-community/mathlib"@"2f5b500a507264de86d666a5f87ddb976e2d8de4"
+
 /-!
 # Multivariate polynomials over a ring

2f5b500a

feat(Data/MvPolynomial/Basic): add multivariate polynomial evaluation lemmas (#5949)

e507f376

Diff

@@ -127,7 +127,7 @@ theorem vars_sub_of_disjoint [DecidableEq σ] (hpq : Disjoint p.vars q.vars) :
 
 end Vars
 
-section Eval₂
+section Eval
 
 variable [CommRing S]
 
@@ -138,11 +138,17 @@ theorem eval₂_sub : (p - q).eval₂ f g = p.eval₂ f g - q.eval₂ f g :=
   (eval₂Hom f g).map_sub _ _
 #align mv_polynomial.eval₂_sub MvPolynomial.eval₂_sub
 
+theorem eval_sub (f : σ → R) : eval f (p - q) = eval f p - eval f q :=
+  eval₂_sub _ _ _
+
 @[simp]
 theorem eval₂_neg : (-p).eval₂ f g = -p.eval₂ f g :=
   (eval₂Hom f g).map_neg _
 #align mv_polynomial.eval₂_neg MvPolynomial.eval₂_neg
 
+theorem eval_neg (f : σ → R) : eval f (-p) = -eval f p :=
+  eval₂_neg _ _ _
+
 theorem hom_C (f : MvPolynomial σ ℤ →+* S) (n : ℤ) : f (C n) = (n : S) :=
   eq_intCast (f.comp C) n
 set_option linter.uppercaseLean3 false in
@@ -175,7 +181,7 @@ def homEquiv : (MvPolynomial σ ℤ →+* S) ≃ (σ → S) where
   right_inv f := funext fun x => by simp only [coe_eval₂Hom, Function.comp_apply, eval₂_X]
 #align mv_polynomial.hom_equiv MvPolynomial.homEquiv
 
-end Eval₂
+end Eval
 
 section DegreeOf

2f5b500a

chore: forward-port leanprover-community/mathlib#18848 (#4007)

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

What's important is that:

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

7b2fc8ad

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Johan Commelin, Mario Carneiro
 
 ! This file was ported from Lean 3 source module data.mv_polynomial.comm_ring
-! leanprover-community/mathlib commit 972aa4234fa56ce119d19506045158a9d76881fd
+! leanprover-community/mathlib commit 2f5b500a507264de86d666a5f87ddb976e2d8de4
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -40,7 +40,7 @@ This will give rise to a monomial in `MvPolynomial σ R` which mathematicians mi
 
 noncomputable section
 
-open Classical BigOperators Set Function Finsupp AddMonoidAlgebra
+open Set Function Finsupp AddMonoidAlgebra
 
 universe u v
 
@@ -88,7 +88,8 @@ theorem support_neg : (-p).support = p.support :=
   Finsupp.support_neg p
 #align mv_polynomial.support_neg MvPolynomial.support_neg
 
-theorem support_sub (p q : MvPolynomial σ R) : (p - q).support ⊆ p.support ∪ q.support :=
+theorem support_sub [DecidableEq σ] (p q : MvPolynomial σ R) :
+    (p - q).support ⊆ p.support ∪ q.support :=
   Finsupp.support_sub
 #align mv_polynomial.support_sub MvPolynomial.support_sub
 
@@ -100,7 +101,8 @@ theorem degrees_neg (p : MvPolynomial σ R) : (-p).degrees = p.degrees := by
   rw [degrees, support_neg]; rfl
 #align mv_polynomial.degrees_neg MvPolynomial.degrees_neg
 
-theorem degrees_sub (p q : MvPolynomial σ R) : (p - q).degrees ≤ p.degrees ⊔ q.degrees := by
+theorem degrees_sub [DecidableEq σ] (p q : MvPolynomial σ R) :
+    (p - q).degrees ≤ p.degrees ⊔ q.degrees := by
   simpa only [sub_eq_add_neg] using le_trans (degrees_add p (-q)) (by rw [degrees_neg])
 #align mv_polynomial.degrees_sub MvPolynomial.degrees_sub
 
@@ -112,12 +114,13 @@ section Vars
 theorem vars_neg : (-p).vars = p.vars := by simp [vars, degrees_neg]
 #align mv_polynomial.vars_neg MvPolynomial.vars_neg
 
-theorem vars_sub_subset : (p - q).vars ⊆ p.vars ∪ q.vars := by
+theorem vars_sub_subset [DecidableEq σ] : (p - q).vars ⊆ p.vars ∪ q.vars := by
   convert vars_add_subset p (-q) using 2 <;> simp [sub_eq_add_neg]
 #align mv_polynomial.vars_sub_subset MvPolynomial.vars_sub_subset
 
 @[simp]
-theorem vars_sub_of_disjoint (hpq : Disjoint p.vars q.vars) : (p - q).vars = p.vars ∪ q.vars := by
+theorem vars_sub_of_disjoint [DecidableEq σ] (hpq : Disjoint p.vars q.vars) :
+    (p - q).vars = p.vars ∪ q.vars := by
   rw [← vars_neg q] at hpq
   convert vars_add_of_disjoint hpq using 2 <;> simp [sub_eq_add_neg]
 #align mv_polynomial.vars_sub_of_disjoint MvPolynomial.vars_sub_of_disjoint
@@ -180,6 +183,7 @@ theorem degreeOf_sub_lt {x : σ} {f g : MvPolynomial σ R} {k : ℕ} (h : 0 < k)
     (hf : ∀ m : σ →₀ ℕ, m ∈ f.support → k ≤ m x → coeff m f = coeff m g)
     (hg : ∀ m : σ →₀ ℕ, m ∈ g.support → k ≤ m x → coeff m f = coeff m g) :
     degreeOf x (f - g) < k := by
+  classical
   rw [degreeOf_lt_iff h]
   intro m hm
   by_contra' hc

972aa423

chore: reenable eta, bump to nightly 2023-05-16 (#3414)

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>

a6e1045f

Diff

@@ -140,13 +140,11 @@ theorem eval₂_neg : (-p).eval₂ f g = -p.eval₂ f g :=
   (eval₂Hom f g).map_neg _
 #align mv_polynomial.eval₂_neg MvPolynomial.eval₂_neg
 
-set_option synthInstance.etaExperiment true in
 theorem hom_C (f : MvPolynomial σ ℤ →+* S) (n : ℤ) : f (C n) = (n : S) :=
   eq_intCast (f.comp C) n
 set_option linter.uppercaseLean3 false in
 #align mv_polynomial.hom_C MvPolynomial.hom_C
 
-set_option synthInstance.etaExperiment true in
 /-- A ring homomorphism f : Z[X_1, X_2, ...] → R
 is determined by the evaluations f(X_1), f(X_2), ... -/
 @[simp]

972aa423

chore(*): tweak priorities for linear algebra (#3840)

We make sure that the canonical path from NonAssocSemiring to Ring passes through Semiring, as this is a path which is followed all the time in linear algebra where the defining semilinear map σ : R →+* S depends on the NonAssocSemiring structure of R and S while the module definition depends on the Semiring structure.

Tt is not currently possible to adjust priorities by hand (see lean4#2115). Instead, the last declared instance is used, so we make sure that Semiring is declared after NonAssocRing, so that Semiring -> NonAssocSemiring is tried before NonAssocRing -> NonAssocSemiring.

0d22228a

Diff

@@ -140,11 +140,13 @@ theorem eval₂_neg : (-p).eval₂ f g = -p.eval₂ f g :=
   (eval₂Hom f g).map_neg _
 #align mv_polynomial.eval₂_neg MvPolynomial.eval₂_neg
 
+set_option synthInstance.etaExperiment true in
 theorem hom_C (f : MvPolynomial σ ℤ →+* S) (n : ℤ) : f (C n) = (n : S) :=
   eq_intCast (f.comp C) n
 set_option linter.uppercaseLean3 false in
 #align mv_polynomial.hom_C MvPolynomial.hom_C
 
+set_option synthInstance.etaExperiment true in
 /-- A ring homomorphism f : Z[X_1, X_2, ...] → R
 is determined by the evaluations f(X_1), f(X_2), ... -/
 @[simp]

972aa423

chore: fix #align lines (#3640)

This PR fixes two things:

Most align statements for definitions and theorems and instances that are separated by two newlines from the relevant declaration (s/\n\n#align/\n#align). This is often seen in the mathport output after ending calc blocks.
All remaining more-than-one-line #align statements. (This was needed for a script I wrote for #3630.)

2b42dc7c

Diff

@@ -205,7 +205,6 @@ theorem totalDegree_sub (a b : MvPolynomial σ R) :
     (a - b).totalDegree = (a + -b).totalDegree := by rw [sub_eq_add_neg]
     _ ≤ max a.totalDegree (-b).totalDegree := (totalDegree_add a (-b))
     _ = max a.totalDegree b.totalDegree := by rw [totalDegree_neg]
-
 #align mv_polynomial.total_degree_sub MvPolynomial.totalDegree_sub
 
 end TotalDegree

972aa423

chore: tidy various files (#3358)

5cedfb5e

Diff

@@ -24,7 +24,7 @@ As in other polynomial files, we typically use the notation:
 
 + `σ : Type*` (indexing the variables)
 
-+ `R : Type*` `[CommRing R]` (the coefficients)
++ `R : Type _` `[CommRing R]` (the coefficients)
 
 + `s : σ →₀ ℕ`, a function from `σ` to `ℕ` which is zero away from a finite set.
 This will give rise to a monomial in `MvPolynomial σ R` which mathematicians might call `X^s`
@@ -40,11 +40,7 @@ This will give rise to a monomial in `MvPolynomial σ R` which mathematicians mi
 
 noncomputable section
 
-open Classical BigOperators
-
-open Set Function Finsupp AddMonoidAlgebra
-
-open BigOperators
+open Classical BigOperators Set Function Finsupp AddMonoidAlgebra
 
 universe u v
 
@@ -161,9 +157,9 @@ theorem eval₂Hom_X {R : Type u} (c : ℤ →+* S) (f : MvPolynomial R ℤ →+
     (fun p q hp hq => by
       rw [eval₂_add, hp, hq]
       exact (f.map_add _ _).symm)
-    fun p n hp => by
-    rw [eval₂_mul, eval₂_X, hp]
-    exact (f.map_mul _ _).symm
+    (fun p n hp => by
+      rw [eval₂_mul, eval₂_X, hp]
+      exact (f.map_mul _ _).symm)
 set_option linter.uppercaseLean3 false in
 #align mv_polynomial.eval₂_hom_X MvPolynomial.eval₂Hom_X
 
@@ -186,8 +182,7 @@ theorem degreeOf_sub_lt {x : σ} {f g : MvPolynomial σ R} {k : ℕ} (h : 0 < k)
     degreeOf x (f - g) < k := by
   rw [degreeOf_lt_iff h]
   intro m hm
-  by_contra hc
-  simp only [not_lt] at hc
+  by_contra' hc
   have h := support_sub σ f g hm
   simp only [mem_support_iff, Ne.def, coeff_sub, sub_eq_zero] at hm
   cases' Finset.mem_union.1 h with cf cg

972aa423

feat: port Data.MvPolynomial.CommRing (#2971)

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

035e4ef6

`data.mv_polynomial.comm_ring` ⟷ `Mathlib.Data.MvPolynomial.CommRing`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 466

data.mv_polynomial.comm_ring ⟷ Mathlib.Data.MvPolynomial.CommRing

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 466

`data.mv_polynomial.comm_ring` ⟷ `Mathlib.Data.MvPolynomial.CommRing`