data.mv_polynomial.supported | 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

@@ -38,7 +38,6 @@ algebra.adjoin R (X '' s)
 
 variables {σ R}
 
-open_locale classical
 open algebra
 
 lemma supported_eq_range_rename (s : set σ) :
@@ -67,6 +66,7 @@ variables {s t : set σ}
 
 lemma mem_supported : p ∈ (supported R s) ↔ ↑p.vars ⊆ s :=
 begin
+  classical,
   rw [supported_eq_range_rename, alg_hom.mem_range],
   split,
   { rintros ⟨p, rfl⟩,

a26d17fc

(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) 2021 Chris Hughes. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Chris Hughes
 -/
-import Data.MvPolynomial.Degrees
+import Algebra.MvPolynomial.Degrees
 
 #align_import data.mv_polynomial.supported 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) 2021 Chris Hughes. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Chris Hughes
 -/
-import Data.MvPolynomial.Variables
+import Data.MvPolynomial.Degrees
 
 #align_import data.mv_polynomial.supported 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

@@ -167,7 +167,7 @@ theorem supported_strictMono [Nontrivial R] :
 theorem exists_restrict_to_vars (R : Type _) [CommRing R] {F : MvPolynomial σ ℤ}
     (hF : ↑F.vars ⊆ s) : ∃ f : (s → R) → R, ∀ x : σ → R, f (x ∘ coe : s → R) = aeval x F := by
   classical
-  rw [← mem_supported, supported_eq_range_rename, AlgHom.mem_range] at hF 
+  rw [← mem_supported, supported_eq_range_rename, AlgHom.mem_range] at hF
   cases' hF with F' hF'
   use fun z => aeval z F'
   intro x

2f5b500a

bump to nightly-2024-02-01-06

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

5433bded

Diff

@@ -84,7 +84,15 @@ theorem supportedEquivMvPolynomial_symm_X (s : Set σ) (i : s) :
 variable {s t : Set σ}
 
 #print MvPolynomial.mem_supported /-
-theorem mem_supported : p ∈ supported R s ↔ ↑p.vars ⊆ s := by classical
+theorem mem_supported : p ∈ supported R s ↔ ↑p.vars ⊆ s := by
+  classical
+  rw [supported_eq_range_rename, AlgHom.mem_range]
+  constructor
+  · rintro ⟨p, rfl⟩
+    refine' trans (Finset.coe_subset.2 (vars_rename _ _)) _
+    simp
+  · intro hs
+    exact exists_rename_eq_of_vars_subset_range p (coe : s → σ) Subtype.val_injective (by simpa)
 #align mv_polynomial.mem_supported MvPolynomial.mem_supported
 -/
 
@@ -159,6 +167,11 @@ theorem supported_strictMono [Nontrivial R] :
 theorem exists_restrict_to_vars (R : Type _) [CommRing R] {F : MvPolynomial σ ℤ}
     (hF : ↑F.vars ⊆ s) : ∃ f : (s → R) → R, ∀ x : σ → R, f (x ∘ coe : s → R) = aeval x F := by
   classical
+  rw [← mem_supported, supported_eq_range_rename, AlgHom.mem_range] at hF 
+  cases' hF with F' hF'
+  use fun z => aeval z F'
+  intro x
+  simp only [← hF', aeval_rename]
 #align mv_polynomial.exists_restrict_to_vars MvPolynomial.exists_restrict_to_vars
 -/

2f5b500a

bump to nightly-2024-01-31-06

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

61100fe9

Diff

@@ -84,15 +84,7 @@ theorem supportedEquivMvPolynomial_symm_X (s : Set σ) (i : s) :
 variable {s t : Set σ}
 
 #print MvPolynomial.mem_supported /-
-theorem mem_supported : p ∈ supported R s ↔ ↑p.vars ⊆ s := by
-  classical
-  rw [supported_eq_range_rename, AlgHom.mem_range]
-  constructor
-  · rintro ⟨p, rfl⟩
-    refine' trans (Finset.coe_subset.2 (vars_rename _ _)) _
-    simp
-  · intro hs
-    exact exists_rename_eq_of_vars_subset_range p (coe : s → σ) Subtype.val_injective (by simpa)
+theorem mem_supported : p ∈ supported R s ↔ ↑p.vars ⊆ s := by classical
 #align mv_polynomial.mem_supported MvPolynomial.mem_supported
 -/
 
@@ -167,11 +159,6 @@ theorem supported_strictMono [Nontrivial R] :
 theorem exists_restrict_to_vars (R : Type _) [CommRing R] {F : MvPolynomial σ ℤ}
     (hF : ↑F.vars ⊆ s) : ∃ f : (s → R) → R, ∀ x : σ → R, f (x ∘ coe : s → R) = aeval x F := by
   classical
-  rw [← mem_supported, supported_eq_range_rename, AlgHom.mem_range] at hF 
-  cases' hF with F' hF'
-  use fun z => aeval z F'
-  intro x
-  simp only [← hF', aeval_rename]
 #align mv_polynomial.exists_restrict_to_vars MvPolynomial.exists_restrict_to_vars
 -/

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) 2021 Chris Hughes. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Chris Hughes
 -/
-import Mathbin.Data.MvPolynomial.Variables
+import Data.MvPolynomial.Variables
 
 #align_import data.mv_polynomial.supported 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) 2021 Chris Hughes. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Chris Hughes
-
-! This file was ported from Lean 3 source module data.mv_polynomial.supported
-! 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.supported from "leanprover-community/mathlib"@"2f5b500a507264de86d666a5f87ddb976e2d8de4"
+
 /-!
 # Polynomials supported by a set of variables

2f5b500a

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -52,16 +52,21 @@ variable {σ R}
 
 open Algebra
 
+#print MvPolynomial.supported_eq_range_rename /-
 theorem supported_eq_range_rename (s : Set σ) : supported R s = (rename (coe : s → σ)).range := by
   rw [supported, Set.image_eq_range, adjoin_range_eq_range_aeval, rename]
 #align mv_polynomial.supported_eq_range_rename MvPolynomial.supported_eq_range_rename
+-/
 
+#print MvPolynomial.supportedEquivMvPolynomial /-
 /-- The isomorphism between the subalgebra of polynomials supported by `s` and `mv_polynomial s R`-/
 noncomputable def supportedEquivMvPolynomial (s : Set σ) : supported R s ≃ₐ[R] MvPolynomial s R :=
   (Subalgebra.equivOfEq _ _ (supported_eq_range_rename s)).trans
     (AlgEquiv.ofInjective (rename (coe : s → σ)) (rename_injective _ Subtype.val_injective)).symm
 #align mv_polynomial.supported_equiv_mv_polynomial MvPolynomial.supportedEquivMvPolynomial
+-/
 
+#print MvPolynomial.supportedEquivMvPolynomial_symm_C /-
 @[simp]
 theorem supportedEquivMvPolynomial_symm_C (s : Set σ) (x : R) :
     (supportedEquivMvPolynomial s).symm (C x) = algebraMap R (supported R s) x :=
@@ -69,15 +74,19 @@ theorem supportedEquivMvPolynomial_symm_C (s : Set σ) (x : R) :
   ext1
   simp [supported_equiv_mv_polynomial, MvPolynomial.algebraMap_eq]
 #align mv_polynomial.supported_equiv_mv_polynomial_symm_C MvPolynomial.supportedEquivMvPolynomial_symm_C
+-/
 
+#print MvPolynomial.supportedEquivMvPolynomial_symm_X /-
 @[simp]
 theorem supportedEquivMvPolynomial_symm_X (s : Set σ) (i : s) :
     (↑((supportedEquivMvPolynomial s).symm (X i : MvPolynomial s R)) : MvPolynomial σ R) = X i := by
   simp [supported_equiv_mv_polynomial]
 #align mv_polynomial.supported_equiv_mv_polynomial_symm_X MvPolynomial.supportedEquivMvPolynomial_symm_X
+-/
 
 variable {s t : Set σ}
 
+#print MvPolynomial.mem_supported /-
 theorem mem_supported : p ∈ supported R s ↔ ↑p.vars ⊆ s := by
   classical
   rw [supported_eq_range_rename, AlgHom.mem_range]
@@ -88,42 +97,58 @@ theorem mem_supported : p ∈ supported R s ↔ ↑p.vars ⊆ s := by
   · intro hs
     exact exists_rename_eq_of_vars_subset_range p (coe : s → σ) Subtype.val_injective (by simpa)
 #align mv_polynomial.mem_supported MvPolynomial.mem_supported
+-/
 
+#print MvPolynomial.supported_eq_vars_subset /-
 theorem supported_eq_vars_subset : (supported R s : Set (MvPolynomial σ R)) = {p | ↑p.vars ⊆ s} :=
   Set.ext fun _ => mem_supported
 #align mv_polynomial.supported_eq_vars_subset MvPolynomial.supported_eq_vars_subset
+-/
 
+#print MvPolynomial.mem_supported_vars /-
 @[simp]
 theorem mem_supported_vars (p : MvPolynomial σ R) : p ∈ supported R (↑p.vars : Set σ) := by
   rw [mem_supported]
 #align mv_polynomial.mem_supported_vars MvPolynomial.mem_supported_vars
+-/
 
 variable (s)
 
+#print MvPolynomial.supported_eq_adjoin_X /-
 theorem supported_eq_adjoin_X : supported R s = Algebra.adjoin R (X '' s) :=
   rfl
 #align mv_polynomial.supported_eq_adjoin_X MvPolynomial.supported_eq_adjoin_X
+-/
 
+#print MvPolynomial.supported_univ /-
 @[simp]
 theorem supported_univ : supported R (Set.univ : Set σ) = ⊤ := by
   simp [Algebra.eq_top_iff, mem_supported]
 #align mv_polynomial.supported_univ MvPolynomial.supported_univ
+-/
 
+#print MvPolynomial.supported_empty /-
 @[simp]
 theorem supported_empty : supported R (∅ : Set σ) = ⊥ := by simp [supported_eq_adjoin_X]
 #align mv_polynomial.supported_empty MvPolynomial.supported_empty
+-/
 
 variable {s}
 
+#print MvPolynomial.supported_mono /-
 theorem supported_mono (st : s ⊆ t) : supported R s ≤ supported R t :=
   Algebra.adjoin_mono (Set.image_subset _ st)
 #align mv_polynomial.supported_mono MvPolynomial.supported_mono
+-/
 
+#print MvPolynomial.X_mem_supported /-
 @[simp]
 theorem X_mem_supported [Nontrivial R] {i : σ} : X i ∈ supported R s ↔ i ∈ s := by
   simp [mem_supported]
 #align mv_polynomial.X_mem_supported MvPolynomial.X_mem_supported
+-/
 
+#print MvPolynomial.supported_le_supported_iff /-
 @[simp]
 theorem supported_le_supported_iff [Nontrivial R] : supported R s ≤ supported R t ↔ s ⊆ t :=
   by
@@ -132,12 +157,16 @@ theorem supported_le_supported_iff [Nontrivial R] : supported R s ≤ supported
     simpa using @h (X i)
   · exact supported_mono
 #align mv_polynomial.supported_le_supported_iff MvPolynomial.supported_le_supported_iff
+-/
 
+#print MvPolynomial.supported_strictMono /-
 theorem supported_strictMono [Nontrivial R] :
     StrictMono (supported R : Set σ → Subalgebra R (MvPolynomial σ R)) :=
   strictMono_of_le_iff_le fun _ _ => supported_le_supported_iff.symm
 #align mv_polynomial.supported_strict_mono MvPolynomial.supported_strictMono
+-/
 
+#print MvPolynomial.exists_restrict_to_vars /-
 theorem exists_restrict_to_vars (R : Type _) [CommRing R] {F : MvPolynomial σ ℤ}
     (hF : ↑F.vars ⊆ s) : ∃ f : (s → R) → R, ∀ x : σ → R, f (x ∘ coe : s → R) = aeval x F := by
   classical
@@ -147,6 +176,7 @@ theorem exists_restrict_to_vars (R : Type _) [CommRing R] {F : MvPolynomial σ 
   intro x
   simp only [← hF', aeval_rename]
 #align mv_polynomial.exists_restrict_to_vars MvPolynomial.exists_restrict_to_vars
+-/
 
 end CommSemiring

2f5b500a

bump to nightly-2023-06-04-18

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

3fb4268b

Diff

@@ -80,16 +80,16 @@ variable {s t : Set σ}
 
 theorem mem_supported : p ∈ supported R s ↔ ↑p.vars ⊆ s := by
   classical
-    rw [supported_eq_range_rename, AlgHom.mem_range]
-    constructor
-    · rintro ⟨p, rfl⟩
-      refine' trans (Finset.coe_subset.2 (vars_rename _ _)) _
-      simp
-    · intro hs
-      exact exists_rename_eq_of_vars_subset_range p (coe : s → σ) Subtype.val_injective (by simpa)
+  rw [supported_eq_range_rename, AlgHom.mem_range]
+  constructor
+  · rintro ⟨p, rfl⟩
+    refine' trans (Finset.coe_subset.2 (vars_rename _ _)) _
+    simp
+  · intro hs
+    exact exists_rename_eq_of_vars_subset_range p (coe : s → σ) Subtype.val_injective (by simpa)
 #align mv_polynomial.mem_supported MvPolynomial.mem_supported
 
-theorem supported_eq_vars_subset : (supported R s : Set (MvPolynomial σ R)) = { p | ↑p.vars ⊆ s } :=
+theorem supported_eq_vars_subset : (supported R s : Set (MvPolynomial σ R)) = {p | ↑p.vars ⊆ s} :=
   Set.ext fun _ => mem_supported
 #align mv_polynomial.supported_eq_vars_subset MvPolynomial.supported_eq_vars_subset
 
@@ -141,11 +141,11 @@ theorem supported_strictMono [Nontrivial R] :
 theorem exists_restrict_to_vars (R : Type _) [CommRing R] {F : MvPolynomial σ ℤ}
     (hF : ↑F.vars ⊆ s) : ∃ f : (s → R) → R, ∀ x : σ → R, f (x ∘ coe : s → R) = aeval x F := by
   classical
-    rw [← mem_supported, supported_eq_range_rename, AlgHom.mem_range] at hF 
-    cases' hF with F' hF'
-    use fun z => aeval z F'
-    intro x
-    simp only [← hF', aeval_rename]
+  rw [← mem_supported, supported_eq_range_rename, AlgHom.mem_range] at hF 
+  cases' hF with F' hF'
+  use fun z => aeval z F'
+  intro x
+  simp only [← hF', aeval_rename]
 #align mv_polynomial.exists_restrict_to_vars MvPolynomial.exists_restrict_to_vars
 
 end CommSemiring

2f5b500a

bump to nightly-2023-06-01-16

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

b9c87c70

Diff

@@ -141,7 +141,7 @@ theorem supported_strictMono [Nontrivial R] :
 theorem exists_restrict_to_vars (R : Type _) [CommRing R] {F : MvPolynomial σ ℤ}
     (hF : ↑F.vars ⊆ s) : ∃ f : (s → R) → R, ∀ x : σ → R, f (x ∘ coe : s → R) = aeval x F := by
   classical
-    rw [← mem_supported, supported_eq_range_rename, AlgHom.mem_range] at hF
+    rw [← mem_supported, supported_eq_range_rename, AlgHom.mem_range] at hF 
     cases' hF with F' hF'
     use fun z => aeval z F'
     intro x

2f5b500a

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -52,31 +52,16 @@ variable {σ R}
 
 open Algebra
 
-/- warning: mv_polynomial.supported_eq_range_rename -> MvPolynomial.supported_eq_range_rename is a dubious translation:
-lean 3 declaration is
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 theorem supported_eq_range_rename (s : Set σ) : supported R s = (rename (coe : s → σ)).range := by
   rw [supported, Set.image_eq_range, adjoin_range_eq_range_aeval, rename]
 #align mv_polynomial.supported_eq_range_rename MvPolynomial.supported_eq_range_rename
 
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 /-- The isomorphism between the subalgebra of polynomials supported by `s` and `mv_polynomial s R`-/
 noncomputable def supportedEquivMvPolynomial (s : Set σ) : supported R s ≃ₐ[R] MvPolynomial s R :=
   (Subalgebra.equivOfEq _ _ (supported_eq_range_rename s)).trans
     (AlgEquiv.ofInjective (rename (coe : s → σ)) (rename_injective _ Subtype.val_injective)).symm
 #align mv_polynomial.supported_equiv_mv_polynomial MvPolynomial.supportedEquivMvPolynomial
 
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 @[simp]
 theorem supportedEquivMvPolynomial_symm_C (s : Set σ) (x : R) :
     (supportedEquivMvPolynomial s).symm (C x) = algebraMap R (supported R s) x :=
@@ -85,9 +70,6 @@ theorem supportedEquivMvPolynomial_symm_C (s : Set σ) (x : R) :
   simp [supported_equiv_mv_polynomial, MvPolynomial.algebraMap_eq]
 #align mv_polynomial.supported_equiv_mv_polynomial_symm_C MvPolynomial.supportedEquivMvPolynomial_symm_C
 
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 @[simp]
 theorem supportedEquivMvPolynomial_symm_X (s : Set σ) (i : s) :
     (↑((supportedEquivMvPolynomial s).symm (X i : MvPolynomial s R)) : MvPolynomial σ R) = X i := by
@@ -96,12 +78,6 @@ theorem supportedEquivMvPolynomial_symm_X (s : Set σ) (i : s) :
 
 variable {s t : Set σ}
 
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 theorem mem_supported : p ∈ supported R s ↔ ↑p.vars ⊆ s := by
   classical
     rw [supported_eq_range_rename, AlgHom.mem_range]
@@ -113,22 +89,10 @@ theorem mem_supported : p ∈ supported R s ↔ ↑p.vars ⊆ s := by
       exact exists_rename_eq_of_vars_subset_range p (coe : s → σ) Subtype.val_injective (by simpa)
 #align mv_polynomial.mem_supported MvPolynomial.mem_supported
 
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 theorem supported_eq_vars_subset : (supported R s : Set (MvPolynomial σ R)) = { p | ↑p.vars ⊆ s } :=
   Set.ext fun _ => mem_supported
 #align mv_polynomial.supported_eq_vars_subset MvPolynomial.supported_eq_vars_subset
 
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 @[simp]
 theorem mem_supported_vars (p : MvPolynomial σ R) : p ∈ supported R (↑p.vars : Set σ) := by
   rw [mem_supported]
@@ -136,66 +100,30 @@ theorem mem_supported_vars (p : MvPolynomial σ R) : p ∈ supported R (↑p.var
 
 variable (s)
 
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 theorem supported_eq_adjoin_X : supported R s = Algebra.adjoin R (X '' s) :=
   rfl
 #align mv_polynomial.supported_eq_adjoin_X MvPolynomial.supported_eq_adjoin_X
 
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 @[simp]
 theorem supported_univ : supported R (Set.univ : Set σ) = ⊤ := by
   simp [Algebra.eq_top_iff, mem_supported]
 #align mv_polynomial.supported_univ MvPolynomial.supported_univ
 
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 @[simp]
 theorem supported_empty : supported R (∅ : Set σ) = ⊥ := by simp [supported_eq_adjoin_X]
 #align mv_polynomial.supported_empty MvPolynomial.supported_empty
 
 variable {s}
 
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 theorem supported_mono (st : s ⊆ t) : supported R s ≤ supported R t :=
   Algebra.adjoin_mono (Set.image_subset _ st)
 #align mv_polynomial.supported_mono MvPolynomial.supported_mono
 
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 @[simp]
 theorem X_mem_supported [Nontrivial R] {i : σ} : X i ∈ supported R s ↔ i ∈ s := by
   simp [mem_supported]
 #align mv_polynomial.X_mem_supported MvPolynomial.X_mem_supported
 
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 @[simp]
 theorem supported_le_supported_iff [Nontrivial R] : supported R s ≤ supported R t ↔ s ⊆ t :=
   by
@@ -205,20 +133,11 @@ theorem supported_le_supported_iff [Nontrivial R] : supported R s ≤ supported
   · exact supported_mono
 #align mv_polynomial.supported_le_supported_iff MvPolynomial.supported_le_supported_iff
 
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-Case conversion may be inaccurate. Consider using '#align mv_polynomial.supported_strict_mono MvPolynomial.supported_strictMonoₓ'. -/
 theorem supported_strictMono [Nontrivial R] :
     StrictMono (supported R : Set σ → Subalgebra R (MvPolynomial σ R)) :=
   strictMono_of_le_iff_le fun _ _ => supported_le_supported_iff.symm
 #align mv_polynomial.supported_strict_mono MvPolynomial.supported_strictMono
 
-/- warning: mv_polynomial.exists_restrict_to_vars -> MvPolynomial.exists_restrict_to_vars is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.exists_restrict_to_vars MvPolynomial.exists_restrict_to_varsₓ'. -/
 theorem exists_restrict_to_vars (R : Type _) [CommRing R] {F : MvPolynomial σ ℤ}
     (hF : ↑F.vars ⊆ s) : ∃ f : (s → R) → R, ∀ x : σ → R, f (x ∘ coe : s → R) = aeval x F := by
   classical

2f5b500a

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -75,10 +75,7 @@ noncomputable def supportedEquivMvPolynomial (s : Set σ) : supported R s ≃ₐ
 #align mv_polynomial.supported_equiv_mv_polynomial MvPolynomial.supportedEquivMvPolynomial
 
 /- warning: mv_polynomial.supported_equiv_mv_polynomial_symm_C -> MvPolynomial.supportedEquivMvPolynomial_symm_C is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.supported_equiv_mv_polynomial_symm_C MvPolynomial.supportedEquivMvPolynomial_symm_Cₓ'. -/
 @[simp]
 theorem supportedEquivMvPolynomial_symm_C (s : Set σ) (x : R) :
@@ -89,10 +86,7 @@ theorem supportedEquivMvPolynomial_symm_C (s : Set σ) (x : R) :
 #align mv_polynomial.supported_equiv_mv_polynomial_symm_C MvPolynomial.supportedEquivMvPolynomial_symm_C
 
 /- warning: mv_polynomial.supported_equiv_mv_polynomial_symm_X -> MvPolynomial.supportedEquivMvPolynomial_symm_X is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align mv_polynomial.supported_equiv_mv_polynomial_symm_X MvPolynomial.supportedEquivMvPolynomial_symm_Xₓ'. -/
 @[simp]
 theorem supportedEquivMvPolynomial_symm_X (s : Set σ) (i : s) :
@@ -223,10 +217,7 @@ theorem supported_strictMono [Nontrivial R] :
 #align mv_polynomial.supported_strict_mono MvPolynomial.supported_strictMono
 
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Int.instCommSemiringInt (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)) (MvPolynomial.algebra.{0, 0, u1} Int Int σ Int.instCommSemiringInt Int.instCommSemiringInt (Algebra.id.{0} Int Int.instCommSemiringInt)) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) R (MonoidWithZero.toMonoid.{0} Int (Semiring.toMonoidWithZero.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt))) (AddCommMonoid.toAddMonoid.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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)))))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)))))) (Module.toDistribMulAction.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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))))) (Algebra.toModule.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) Int.instCommSemiringInt (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)) (MvPolynomial.algebra.{0, 0, u1} Int Int σ Int.instCommSemiringInt Int.instCommSemiringInt (Algebra.id.{0} Int Int.instCommSemiringInt)))) (Module.toDistribMulAction.{0, u2} Int R (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2))))) (Algebra.toModule.{0, u2} Int R Int.instCommSemiringInt (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u1 u2, 0, u1, u2} (AlgHom.{0, u1, u2} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) R Int.instCommSemiringInt (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)) (MvPolynomial.algebra.{0, 0, u1} Int Int σ Int.instCommSemiringInt Int.instCommSemiringInt (Algebra.id.{0} Int Int.instCommSemiringInt)) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) R (MonoidWithZero.toMonoid.{0} Int (Semiring.toMonoidWithZero.{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)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)))) (Module.toDistribMulAction.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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))))) (Algebra.toModule.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) Int.instCommSemiringInt (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)) (MvPolynomial.algebra.{0, 0, u1} Int Int σ Int.instCommSemiringInt Int.instCommSemiringInt (Algebra.id.{0} Int Int.instCommSemiringInt)))) (Module.toDistribMulAction.{0, u2} Int R (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2))))) (Algebra.toModule.{0, u2} Int R Int.instCommSemiringInt (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{0, u1, u2, max u1 u2} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) R Int.instCommSemiringInt (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)) (MvPolynomial.algebra.{0, 0, u1} Int Int σ Int.instCommSemiringInt Int.instCommSemiringInt (Algebra.id.{0} Int Int.instCommSemiringInt)) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2)) (AlgHom.{0, u1, u2} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) R Int.instCommSemiringInt (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)) (MvPolynomial.algebra.{0, 0, u1} Int Int σ Int.instCommSemiringInt Int.instCommSemiringInt (Algebra.id.{0} Int Int.instCommSemiringInt)) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2))) (AlgHom.algHomClass.{0, u1, u2} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) R Int.instCommSemiringInt (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)) (MvPolynomial.algebra.{0, 0, u1} Int Int σ Int.instCommSemiringInt Int.instCommSemiringInt (Algebra.id.{0} Int Int.instCommSemiringInt)) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2))))))) (MvPolynomial.aeval.{0, u2, u1} Int R σ Int.instCommSemiringInt (CommRing.toCommSemiring.{u2} R _inst_2) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2)) x) F)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.exists_restrict_to_vars MvPolynomial.exists_restrict_to_varsₓ'. -/
 theorem exists_restrict_to_vars (R : Type _) [CommRing R] {F : MvPolynomial σ ℤ}
     (hF : ↑F.vars ⊆ s) : ∃ f : (s → R) → R, ∀ x : σ → R, f (x ∘ coe : s → R) = aeval x F := by

2f5b500a

bump to nightly-2023-05-24-06

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

fbc7b476

Diff

@@ -78,7 +78,7 @@ noncomputable def supportedEquivMvPolynomial (s : Set σ) : supported R s ≃ₐ
 lean 3 declaration is
   forall {σ : Type.{u2}} {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (s : Set.{u2} σ) (x : R), Eq.{succ (max u2 u1)} (coeSort.{succ (max u2 u1), succ (succ (max u2 u1))} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) Type.{max u2 u1} (SetLike.hasCoeToSort.{max u2 u1, max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (MvPolynomial.{u2, u1} σ R _inst_1) (Subalgebra.setLike.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s)) (coeFn.{succ (max u2 u1), succ (max u2 u1)} (AlgEquiv.{u1, max u2 u1, max u2 u1} R (MvPolynomial.{u2, u1} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} σ) Type.{u2} (Set.hasCoeToSort.{u2} σ) s) R _inst_1) (coeSort.{succ (max u2 u1), succ (succ (max u2 u1))} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) Type.{max u2 u1} (SetLike.hasCoeToSort.{max u2 u1, max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (MvPolynomial.{u2, u1} σ R _inst_1) (Subalgebra.setLike.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s)) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} σ) Type.{u2} (Set.hasCoeToSort.{u2} σ) s) R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R (coeSort.{succ u2, succ (succ u2)} (Set.{u2} σ) Type.{u2} (Set.hasCoeToSort.{u2} σ) s) _inst_1)) (Subalgebra.toSemiring.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s)) (MvPolynomial.algebra.{u1, u1, u2} R R (coeSort.{succ u2, succ (succ u2)} (Set.{u2} σ) Type.{u2} (Set.hasCoeToSort.{u2} σ) s) _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (Subalgebra.algebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s))) (fun (_x : AlgEquiv.{u1, max u2 u1, max u2 u1} R (MvPolynomial.{u2, u1} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} σ) Type.{u2} (Set.hasCoeToSort.{u2} σ) s) R _inst_1) (coeSort.{succ (max u2 u1), succ (succ (max u2 u1))} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) Type.{max u2 u1} (SetLike.hasCoeToSort.{max u2 u1, max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (MvPolynomial.{u2, u1} σ R _inst_1) (Subalgebra.setLike.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s)) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} σ) Type.{u2} 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(MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) Type.{max u2 u1} (SetLike.hasCoeToSort.{max u2 u1, max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (MvPolynomial.{u2, u1} σ R _inst_1) (Subalgebra.setLike.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s))) (RingHom.hasCoeToFun.{u1, max u2 u1} R (coeSort.{succ (max u2 u1), succ (succ (max u2 u1))} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) Type.{max u2 u1} (SetLike.hasCoeToSort.{max u2 u1, max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (MvPolynomial.{u2, u1} σ R _inst_1) (Subalgebra.setLike.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (coeSort.{succ (max u2 u1), succ (succ (max u2 u1))} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) Type.{max u2 u1} (SetLike.hasCoeToSort.{max u2 u1, max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (MvPolynomial.{u2, u1} σ R _inst_1) (Subalgebra.setLike.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ 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u2 u1} (SetLike.hasCoeToSort.{max u2 u1, max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (MvPolynomial.{u2, u1} σ R _inst_1) (Subalgebra.setLike.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s)) _inst_1 (Subalgebra.toSemiring.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s)) (Subalgebra.algebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s))) x)
 but is expected to have type
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_inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.instSetLikeSubalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) x (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} (Set.Elem.{u1} σ s) R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} (Set.Elem.{u1} σ s) R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} (Set.Elem.{u1} σ s) R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R (Set.Elem.{u1} σ s) _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) 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MvPolynomial.{u1, u2} σ R _inst_1) => Membership.mem.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (SetLike.instMembership.{max u2 u1, max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.instSetLikeSubalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) x (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))) (Subalgebra.toSemiring.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, max u2 u1} (RingHom.{u2, max u2 u1} R (Subtype.{succ (max u2 u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (fun (x : MvPolynomial.{u1, u2} σ R _inst_1) => Membership.mem.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (SetLike.instMembership.{max u2 u1, max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.instSetLikeSubalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) x (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (Subtype.{succ (max u2 u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (fun (x : MvPolynomial.{u1, u2} σ R _inst_1) => Membership.mem.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (SetLike.instMembership.{max u2 u1, max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.instSetLikeSubalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) x (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))) (Subalgebra.toSemiring.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s)))) R (Subtype.{succ (max u2 u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (fun (x : MvPolynomial.{u1, u2} σ R _inst_1) => Membership.mem.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (SetLike.instMembership.{max u2 u1, max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.instSetLikeSubalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) x (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (Subtype.{succ (max u2 u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (fun (x : MvPolynomial.{u1, u2} σ R _inst_1) => Membership.mem.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (SetLike.instMembership.{max u2 u1, max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.instSetLikeSubalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) x (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))) (Subalgebra.toSemiring.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))) (RingHom.instRingHomClassRingHom.{u2, max u2 u1} R (Subtype.{succ (max u2 u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (fun (x : MvPolynomial.{u1, u2} σ R _inst_1) => Membership.mem.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (SetLike.instMembership.{max u2 u1, max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.instSetLikeSubalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) x (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (Subtype.{succ (max u2 u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (fun (x : MvPolynomial.{u1, u2} σ R _inst_1) => Membership.mem.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (SetLike.instMembership.{max u2 u1, max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.instSetLikeSubalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) x (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))) (Subalgebra.toSemiring.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))))))) (algebraMap.{u2, max u2 u1} R (Subtype.{succ (max u2 u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (fun (x : MvPolynomial.{u1, u2} σ R _inst_1) => Membership.mem.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (SetLike.instMembership.{max u2 u1, max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.instSetLikeSubalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) x (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))) _inst_1 (Subalgebra.toSemiring.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s)) (Subalgebra.algebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 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+  forall {σ : Type.{u1}} {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] (s : Set.{u1} σ) (x : R), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} (Set.Elem.{u1} σ s) R _inst_1) => Subtype.{succ (max u2 u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (fun (x : MvPolynomial.{u1, u2} σ R _inst_1) => Membership.mem.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (SetLike.instMembership.{max u2 u1, max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ 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(CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (SetLike.instMembership.{max u2 u1, max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.instSetLikeSubalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) x (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))) (Subalgebra.toSemiring.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))))))) (algebraMap.{u2, max u2 u1} R (Subtype.{succ (max u2 u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (fun (x : MvPolynomial.{u1, u2} σ R _inst_1) => Membership.mem.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (SetLike.instMembership.{max u2 u1, max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.instSetLikeSubalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) x (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))) _inst_1 (Subalgebra.toSemiring.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s)) (Subalgebra.algebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))) x)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.supported_equiv_mv_polynomial_symm_C MvPolynomial.supportedEquivMvPolynomial_symm_Cₓ'. -/
 @[simp]
 theorem supportedEquivMvPolynomial_symm_C (s : Set σ) (x : R) :
@@ -92,7 +92,7 @@ theorem supportedEquivMvPolynomial_symm_C (s : Set σ) (x : R) :
 lean 3 declaration is
   forall {σ : Type.{u2}} {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (s : Set.{u2} σ) (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} σ) Type.{u2} (Set.hasCoeToSort.{u2} σ) s), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) ((fun (a : Type.{max u2 u1}) (b : Sort.{max (succ u2) (succ u1)}) [self : HasLiftT.{succ (max u2 u1), max (succ u2) (succ u1)} a b] => self.0) (coeSort.{succ (max u2 u1), succ (succ (max u2 u1))} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) Type.{max u2 u1} (SetLike.hasCoeToSort.{max u2 u1, max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) 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 but is expected to have type
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(MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s)) (MvPolynomial.algebra.{u2, u2, u1} R R (Set.Elem.{u1} σ s) _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (Subalgebra.algebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))) (AlgEquivClass.toAlgHomClass.{max u1 u2, u2, max u1 u2, max u1 u2} (AlgEquiv.{u2, max u1 u2, max u1 u2} R (MvPolynomial.{u1, u2} (Set.Elem.{u1} σ s) R _inst_1) (Subtype.{succ (max u2 u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (fun (x : MvPolynomial.{u1, 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R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) x (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} (Set.Elem.{u1} σ s) R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R (Set.Elem.{u1} σ s) _inst_1)) (Subalgebra.toSemiring.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s)) (MvPolynomial.algebra.{u2, u2, u1} R R (Set.Elem.{u1} σ s) _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (Subalgebra.algebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))) R (MvPolynomial.{u1, u2} (Set.Elem.{u1} σ s) R _inst_1) (Subtype.{succ (max u2 u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (fun (x : MvPolynomial.{u1, u2} σ R _inst_1) => Membership.mem.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (SetLike.instMembership.{max u2 u1, max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.instSetLikeSubalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) x (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} (Set.Elem.{u1} σ s) R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R (Set.Elem.{u1} σ s) _inst_1)) (Subalgebra.toSemiring.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s)) (MvPolynomial.algebra.{u2, u2, u1} R R (Set.Elem.{u1} σ s) _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (Subalgebra.algebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s)) (AlgEquiv.instAlgEquivClassAlgEquiv.{u2, max u1 u2, max u1 u2} R (MvPolynomial.{u1, u2} (Set.Elem.{u1} σ s) R _inst_1) (Subtype.{succ (max u2 u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (fun (x : MvPolynomial.{u1, u2} σ R _inst_1) => Membership.mem.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (SetLike.instMembership.{max u2 u1, max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.instSetLikeSubalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) x (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} (Set.Elem.{u1} σ s) R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R (Set.Elem.{u1} σ s) _inst_1)) (Subalgebra.toSemiring.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s)) (MvPolynomial.algebra.{u2, u2, u1} R R (Set.Elem.{u1} σ s) _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (Subalgebra.algebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s)))))))) (AlgEquiv.symm.{u2, max u1 u2, max u1 u2} R (Subtype.{succ (max u2 u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (fun (x : MvPolynomial.{u1, u2} σ R _inst_1) => Membership.mem.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (SetLike.instMembership.{max u2 u1, max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.instSetLikeSubalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) x (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))) (MvPolynomial.{u1, u2} (Set.Elem.{u1} σ s) R _inst_1) _inst_1 (Subalgebra.toSemiring.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} (Set.Elem.{u1} σ s) R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R (Set.Elem.{u1} σ s) _inst_1)) (Subalgebra.algebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s)) (MvPolynomial.algebra.{u2, u2, u1} R R (Set.Elem.{u1} σ s) _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supportedEquivMvPolynomial.{u2, u1} σ R _inst_1 s)) (MvPolynomial.X.{u2, u1} R (Set.Elem.{u1} σ s) _inst_1 i))) (MvPolynomial.X.{u2, u1} R σ _inst_1 (Subtype.val.{succ u1} σ (fun (x : σ) => Membership.mem.{u1, u1} σ (Set.{u1} σ) (Set.instMembershipSet.{u1} σ) x s) i))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.supported_equiv_mv_polynomial_symm_X MvPolynomial.supportedEquivMvPolynomial_symm_Xₓ'. -/
 @[simp]
 theorem supportedEquivMvPolynomial_symm_X (s : Set σ) (i : s) :
@@ -226,7 +226,7 @@ theorem supported_strictMono [Nontrivial R] :
 lean 3 declaration is
   forall {σ : Type.{u1}} {s : Set.{u1} σ} (R : Type.{u2}) [_inst_2 : CommRing.{u2} R] {F : MvPolynomial.{u1, 0} σ Int Int.commSemiring}, (HasSubset.Subset.{u1} (Set.{u1} σ) (Set.hasSubset.{u1} σ) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (Finset.{u1} σ) (Set.{u1} σ) (HasLiftT.mk.{succ u1, succ u1} (Finset.{u1} σ) (Set.{u1} σ) (CoeTCₓ.coe.{succ u1, succ u1} (Finset.{u1} σ) (Set.{u1} σ) (Finset.Set.hasCoeT.{u1} σ))) (MvPolynomial.vars.{0, u1} Int σ Int.commSemiring F)) s) -> (Exists.{max (succ u1) (succ u2)} (((coeSort.{succ u1, succ (succ u1)} (Set.{u1} σ) Type.{u1} (Set.hasCoeToSort.{u1} σ) s) -> R) -> R) (fun (f : ((coeSort.{succ u1, succ (succ u1)} (Set.{u1} σ) Type.{u1} (Set.hasCoeToSort.{u1} σ) s) -> R) -> R) => forall (x : σ -> R), Eq.{succ u2} R (f (Function.comp.{succ u1, succ u1, succ u2} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} σ) Type.{u1} (Set.hasCoeToSort.{u1} σ) s) σ R x ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (coeSort.{succ u1, succ (succ u1)} (Set.{u1} σ) Type.{u1} (Set.hasCoeToSort.{u1} σ) s) σ (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} σ) Type.{u1} (Set.hasCoeToSort.{u1} σ) s) σ (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} σ) Type.{u1} (Set.hasCoeToSort.{u1} σ) s) σ (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} σ) Type.{u1} (Set.hasCoeToSort.{u1} σ) s) σ (coeSubtype.{succ u1} σ (fun (x : σ) => Membership.Mem.{u1, u1} σ (Set.{u1} σ) (Set.hasMem.{u1} σ) x s)))))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (AlgHom.{0, u1, u2} Int (MvPolynomial.{u1, 0} σ Int Int.commSemiring) R Int.commSemiring (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int σ Int.commSemiring)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)) (MvPolynomial.algebra.{0, 0, u1} Int Int σ Int.commSemiring Int.commSemiring (Algebra.id.{0} Int Int.commSemiring)) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2))) (fun (_x : AlgHom.{0, u1, u2} Int (MvPolynomial.{u1, 0} σ Int Int.commSemiring) R Int.commSemiring (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int σ Int.commSemiring)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)) (MvPolynomial.algebra.{0, 0, u1} Int Int σ Int.commSemiring Int.commSemiring (Algebra.id.{0} Int Int.commSemiring)) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2))) => (MvPolynomial.{u1, 0} σ Int Int.commSemiring) -> R) ([anonymous].{0, u1, u2} Int (MvPolynomial.{u1, 0} σ Int Int.commSemiring) R Int.commSemiring (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int σ Int.commSemiring)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)) (MvPolynomial.algebra.{0, 0, u1} Int Int σ Int.commSemiring Int.commSemiring (Algebra.id.{0} Int Int.commSemiring)) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2))) (MvPolynomial.aeval.{0, u2, u1} Int R σ Int.commSemiring (CommRing.toCommSemiring.{u2} R _inst_2) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2)) x) F)))
 but is expected to have type
-  forall {σ : Type.{u1}} {s : Set.{u1} σ} (R : Type.{u2}) [_inst_2 : CommRing.{u2} R] {F : MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt}, (HasSubset.Subset.{u1} (Set.{u1} σ) (Set.instHasSubsetSet.{u1} σ) (Finset.toSet.{u1} σ (MvPolynomial.vars.{0, u1} Int σ Int.instCommSemiringInt F)) s) -> (Exists.{max (succ u1) (succ u2)} (((Set.Elem.{u1} σ s) -> R) -> R) (fun (f : ((Set.Elem.{u1} σ s) -> R) -> R) => forall (x : σ -> R), Eq.{succ u2} R (f (Function.comp.{succ u1, succ u1, succ u2} (Set.Elem.{u1} σ s) σ R x (Subtype.val.{succ u1} σ (fun (x : σ) => Membership.mem.{u1, u1} σ (Set.{u1} σ) (Set.instMembershipSet.{u1} σ) x s)))) (FunLike.coe.{max (max (succ u1) (succ u2)) 1, succ u1, succ u2} (AlgHom.{0, u1, u2} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) R Int.instCommSemiringInt (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)) (MvPolynomial.algebra.{0, 0, u1} Int Int σ Int.instCommSemiringInt Int.instCommSemiringInt (Algebra.id.{0} Int Int.instCommSemiringInt)) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2))) (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (fun (_x : MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) => R) _x) (SMulHomClass.toFunLike.{max u1 u2, 0, u1, u2} (AlgHom.{0, u1, u2} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) R Int.instCommSemiringInt (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)) (MvPolynomial.algebra.{0, 0, u1} Int Int σ Int.instCommSemiringInt Int.instCommSemiringInt (Algebra.id.{0} Int Int.instCommSemiringInt)) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) R (SMulZeroClass.toSMul.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (AddMonoid.toZero.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (AddCommMonoid.toAddMonoid.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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))))))) (DistribSMul.toSMulZeroClass.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (AddMonoid.toAddZeroClass.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (AddCommMonoid.toAddMonoid.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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))))))) (DistribMulAction.toDistribSMul.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MonoidWithZero.toMonoid.{0} Int (Semiring.toMonoidWithZero.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt))) (AddCommMonoid.toAddMonoid.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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)))))) (Module.toDistribMulAction.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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))))) (Algebra.toModule.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) Int.instCommSemiringInt (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)) (MvPolynomial.algebra.{0, 0, u1} Int Int σ Int.instCommSemiringInt Int.instCommSemiringInt (Algebra.id.{0} Int Int.instCommSemiringInt))))))) (SMulZeroClass.toSMul.{0, u2} Int R (AddMonoid.toZero.{u2} R (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2))))))) (DistribSMul.toSMulZeroClass.{0, u2} Int R (AddMonoid.toAddZeroClass.{u2} R (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2))))))) (DistribMulAction.toDistribSMul.{0, u2} Int R (MonoidWithZero.toMonoid.{0} Int (Semiring.toMonoidWithZero.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)))))) (Module.toDistribMulAction.{0, u2} Int R (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2))))) (Algebra.toModule.{0, u2} Int R Int.instCommSemiringInt (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, 0, u1, u2} (AlgHom.{0, u1, u2} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) R Int.instCommSemiringInt (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)) (MvPolynomial.algebra.{0, 0, u1} Int Int σ Int.instCommSemiringInt Int.instCommSemiringInt (Algebra.id.{0} Int Int.instCommSemiringInt)) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) R (MonoidWithZero.toMonoid.{0} Int (Semiring.toMonoidWithZero.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt))) (AddCommMonoid.toAddMonoid.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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)))))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)))))) (Module.toDistribMulAction.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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))))) (Algebra.toModule.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) Int.instCommSemiringInt (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)) (MvPolynomial.algebra.{0, 0, u1} Int Int σ Int.instCommSemiringInt Int.instCommSemiringInt (Algebra.id.{0} Int Int.instCommSemiringInt)))) (Module.toDistribMulAction.{0, u2} Int R (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2))))) (Algebra.toModule.{0, u2} Int R Int.instCommSemiringInt (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u1 u2, 0, u1, u2} (AlgHom.{0, u1, u2} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) R Int.instCommSemiringInt (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)) (MvPolynomial.algebra.{0, 0, u1} Int Int σ Int.instCommSemiringInt Int.instCommSemiringInt (Algebra.id.{0} Int Int.instCommSemiringInt)) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) R (MonoidWithZero.toMonoid.{0} Int (Semiring.toMonoidWithZero.{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)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)))) (Module.toDistribMulAction.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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))))) (Algebra.toModule.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) Int.instCommSemiringInt (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)) (MvPolynomial.algebra.{0, 0, u1} Int Int σ Int.instCommSemiringInt Int.instCommSemiringInt (Algebra.id.{0} Int Int.instCommSemiringInt)))) (Module.toDistribMulAction.{0, u2} Int R (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2))))) (Algebra.toModule.{0, u2} Int R Int.instCommSemiringInt (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{0, u1, u2, max u1 u2} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) R Int.instCommSemiringInt (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)) (MvPolynomial.algebra.{0, 0, u1} Int Int σ Int.instCommSemiringInt Int.instCommSemiringInt (Algebra.id.{0} Int Int.instCommSemiringInt)) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2)) (AlgHom.{0, u1, u2} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) R Int.instCommSemiringInt (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)) (MvPolynomial.algebra.{0, 0, u1} Int Int σ Int.instCommSemiringInt Int.instCommSemiringInt (Algebra.id.{0} Int Int.instCommSemiringInt)) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2))) (AlgHom.algHomClass.{0, u1, u2} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) R Int.instCommSemiringInt (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)) (MvPolynomial.algebra.{0, 0, u1} Int Int σ Int.instCommSemiringInt Int.instCommSemiringInt (Algebra.id.{0} Int Int.instCommSemiringInt)) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2))))))) (MvPolynomial.aeval.{0, u2, u1} Int R σ Int.instCommSemiringInt (CommRing.toCommSemiring.{u2} R _inst_2) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2)) x) F)))
+  forall {σ : Type.{u1}} {s : Set.{u1} σ} (R : Type.{u2}) [_inst_2 : CommRing.{u2} R] {F : MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt}, (HasSubset.Subset.{u1} (Set.{u1} σ) (Set.instHasSubsetSet.{u1} σ) (Finset.toSet.{u1} σ (MvPolynomial.vars.{0, u1} Int σ Int.instCommSemiringInt F)) s) -> (Exists.{max (succ u1) (succ u2)} (((Set.Elem.{u1} σ s) -> R) -> R) (fun (f : ((Set.Elem.{u1} σ s) -> R) -> R) => forall (x : σ -> R), Eq.{succ u2} R (f (Function.comp.{succ u1, succ u1, succ u2} (Set.Elem.{u1} σ s) σ R x (Subtype.val.{succ u1} σ (fun (x : σ) => Membership.mem.{u1, u1} σ (Set.{u1} σ) (Set.instMembershipSet.{u1} σ) x s)))) (FunLike.coe.{max (max (succ u1) (succ u2)) 1, succ u1, succ u2} (AlgHom.{0, u1, u2} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) R Int.instCommSemiringInt (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)) (MvPolynomial.algebra.{0, 0, u1} Int Int σ Int.instCommSemiringInt Int.instCommSemiringInt (Algebra.id.{0} Int Int.instCommSemiringInt)) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2))) (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (fun (_x : MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) => R) _x) (SMulHomClass.toFunLike.{max u1 u2, 0, u1, u2} (AlgHom.{0, u1, u2} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) R Int.instCommSemiringInt (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)) (MvPolynomial.algebra.{0, 0, u1} Int Int σ Int.instCommSemiringInt Int.instCommSemiringInt (Algebra.id.{0} Int Int.instCommSemiringInt)) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) R (SMulZeroClass.toSMul.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (AddMonoid.toZero.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (AddCommMonoid.toAddMonoid.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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))))))) (DistribSMul.toSMulZeroClass.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (AddMonoid.toAddZeroClass.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (AddCommMonoid.toAddMonoid.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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))))))) (DistribMulAction.toDistribSMul.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MonoidWithZero.toMonoid.{0} Int (Semiring.toMonoidWithZero.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt))) (AddCommMonoid.toAddMonoid.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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)))))) (Module.toDistribMulAction.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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))))) (Algebra.toModule.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) Int.instCommSemiringInt (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)) (MvPolynomial.algebra.{0, 0, u1} Int Int σ Int.instCommSemiringInt Int.instCommSemiringInt (Algebra.id.{0} Int Int.instCommSemiringInt))))))) (SMulZeroClass.toSMul.{0, u2} Int R (AddMonoid.toZero.{u2} R (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2))))))) (DistribSMul.toSMulZeroClass.{0, u2} Int R (AddMonoid.toAddZeroClass.{u2} R (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2))))))) (DistribMulAction.toDistribSMul.{0, u2} Int R (MonoidWithZero.toMonoid.{0} Int (Semiring.toMonoidWithZero.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)))))) (Module.toDistribMulAction.{0, u2} Int R (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2))))) (Algebra.toModule.{0, u2} Int R Int.instCommSemiringInt (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, 0, u1, u2} (AlgHom.{0, u1, u2} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) R Int.instCommSemiringInt (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)) (MvPolynomial.algebra.{0, 0, u1} Int Int σ Int.instCommSemiringInt Int.instCommSemiringInt (Algebra.id.{0} Int Int.instCommSemiringInt)) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) R (MonoidWithZero.toMonoid.{0} Int (Semiring.toMonoidWithZero.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt))) (AddCommMonoid.toAddMonoid.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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)))))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)))))) (Module.toDistribMulAction.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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))))) (Algebra.toModule.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) Int.instCommSemiringInt (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)) (MvPolynomial.algebra.{0, 0, u1} Int Int σ Int.instCommSemiringInt Int.instCommSemiringInt (Algebra.id.{0} Int Int.instCommSemiringInt)))) (Module.toDistribMulAction.{0, u2} Int R (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2))))) (Algebra.toModule.{0, u2} Int R Int.instCommSemiringInt (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u1 u2, 0, u1, u2} (AlgHom.{0, u1, u2} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) R Int.instCommSemiringInt (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)) (MvPolynomial.algebra.{0, 0, u1} Int Int σ Int.instCommSemiringInt Int.instCommSemiringInt (Algebra.id.{0} Int Int.instCommSemiringInt)) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) R (MonoidWithZero.toMonoid.{0} Int (Semiring.toMonoidWithZero.{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)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)))) (Module.toDistribMulAction.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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))))) (Algebra.toModule.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) Int.instCommSemiringInt (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)) (MvPolynomial.algebra.{0, 0, u1} Int Int σ Int.instCommSemiringInt Int.instCommSemiringInt (Algebra.id.{0} Int Int.instCommSemiringInt)))) (Module.toDistribMulAction.{0, u2} Int R (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2))))) (Algebra.toModule.{0, u2} Int R Int.instCommSemiringInt (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{0, u1, u2, max u1 u2} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) R Int.instCommSemiringInt (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)) (MvPolynomial.algebra.{0, 0, u1} Int Int σ Int.instCommSemiringInt Int.instCommSemiringInt (Algebra.id.{0} Int Int.instCommSemiringInt)) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2)) (AlgHom.{0, u1, u2} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) R Int.instCommSemiringInt (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)) (MvPolynomial.algebra.{0, 0, u1} Int Int σ Int.instCommSemiringInt Int.instCommSemiringInt (Algebra.id.{0} Int Int.instCommSemiringInt)) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2))) (AlgHom.algHomClass.{0, u1, u2} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) R Int.instCommSemiringInt (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)) (MvPolynomial.algebra.{0, 0, u1} Int Int σ Int.instCommSemiringInt Int.instCommSemiringInt (Algebra.id.{0} Int Int.instCommSemiringInt)) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2))))))) (MvPolynomial.aeval.{0, u2, u1} Int R σ Int.instCommSemiringInt (CommRing.toCommSemiring.{u2} R _inst_2) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2)) x) F)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.exists_restrict_to_vars MvPolynomial.exists_restrict_to_varsₓ'. -/
 theorem exists_restrict_to_vars (R : Type _) [CommRing R] {F : MvPolynomial σ ℤ}
     (hF : ↑F.vars ⊆ s) : ∃ f : (s → R) → R, ∀ x : σ → R, f (x ∘ coe : s → R) = aeval x F := by

2f5b500a

bump to nightly-2023-05-23-03

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

ed98987c

Diff

@@ -66,7 +66,7 @@ theorem supported_eq_range_rename (s : Set σ) : supported R s = (rename (coe :
 lean 3 declaration is
   forall {σ : Type.{u2}} {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (s : Set.{u2} σ), AlgEquiv.{u1, max u2 u1, max u2 u1} R (coeSort.{succ (max u2 u1), succ (succ (max u2 u1))} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) Type.{max u2 u1} (SetLike.hasCoeToSort.{max u2 u1, max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (MvPolynomial.{u2, u1} σ R _inst_1) (Subalgebra.setLike.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s)) (MvPolynomial.{u2, u1} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} σ) Type.{u2} (Set.hasCoeToSort.{u2} σ) s) R _inst_1) _inst_1 (Subalgebra.toSemiring.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} σ) Type.{u2} (Set.hasCoeToSort.{u2} σ) s) R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R (coeSort.{succ u2, succ (succ u2)} (Set.{u2} σ) Type.{u2} (Set.hasCoeToSort.{u2} σ) s) _inst_1)) (Subalgebra.algebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s)) (MvPolynomial.algebra.{u1, u1, u2} R R (coeSort.{succ u2, succ (succ u2)} (Set.{u2} σ) Type.{u2} (Set.hasCoeToSort.{u2} σ) s) _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))
 but is expected to have type
-  forall {σ : Type.{u2}} {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (s : Set.{u2} σ), AlgEquiv.{u1, max u1 u2, max u1 u2} R (Subtype.{succ (max u1 u2)} (MvPolynomial.{u2, u1} σ R _inst_1) (fun (x : MvPolynomial.{u2, u1} σ R _inst_1) => Membership.mem.{max u1 u2, max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Subalgebra.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (SetLike.instMembership.{max u1 u2, max u1 u2} (Subalgebra.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (MvPolynomial.{u2, u1} σ R _inst_1) (Subalgebra.instSetLikeSubalgebra.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) x (MvPolynomial.supported.{u1, u2} σ R _inst_1 s))) (MvPolynomial.{u2, u1} (Set.Elem.{u2} σ s) R _inst_1) _inst_1 (Subalgebra.toSemiring.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} (Set.Elem.{u2} σ s) R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R (Set.Elem.{u2} σ s) _inst_1)) (Subalgebra.instAlgebraSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiring.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s)) (MvPolynomial.algebra.{u1, u1, u2} R R (Set.Elem.{u2} σ s) _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))
+  forall {σ : Type.{u2}} {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (s : Set.{u2} σ), AlgEquiv.{u1, max u1 u2, max u1 u2} R (Subtype.{succ (max u1 u2)} (MvPolynomial.{u2, u1} σ R _inst_1) (fun (x : MvPolynomial.{u2, u1} σ R _inst_1) => Membership.mem.{max u1 u2, max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Subalgebra.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (SetLike.instMembership.{max u1 u2, max u1 u2} (Subalgebra.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (MvPolynomial.{u2, u1} σ R _inst_1) (Subalgebra.instSetLikeSubalgebra.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) x (MvPolynomial.supported.{u1, u2} σ R _inst_1 s))) (MvPolynomial.{u2, u1} (Set.Elem.{u2} σ s) R _inst_1) _inst_1 (Subalgebra.toSemiring.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} (Set.Elem.{u2} σ s) R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R (Set.Elem.{u2} σ s) _inst_1)) (Subalgebra.algebra.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s)) (MvPolynomial.algebra.{u1, u1, u2} R R (Set.Elem.{u2} σ s) _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.supported_equiv_mv_polynomial MvPolynomial.supportedEquivMvPolynomialₓ'. -/
 /-- The isomorphism between the subalgebra of polynomials supported by `s` and `mv_polynomial s R`-/
 noncomputable def supportedEquivMvPolynomial (s : Set σ) : supported R s ≃ₐ[R] MvPolynomial s R :=
@@ -78,7 +78,7 @@ noncomputable def supportedEquivMvPolynomial (s : Set σ) : supported R s ≃ₐ
 lean 3 declaration is
   forall {σ : Type.{u2}} {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (s : Set.{u2} σ) (x : R), Eq.{succ (max u2 u1)} (coeSort.{succ (max u2 u1), succ (succ (max u2 u1))} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) Type.{max u2 u1} (SetLike.hasCoeToSort.{max u2 u1, max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (MvPolynomial.{u2, u1} σ R _inst_1) (Subalgebra.setLike.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s)) (coeFn.{succ (max u2 u1), succ (max u2 u1)} (AlgEquiv.{u1, max u2 u1, max u2 u1} R (MvPolynomial.{u2, u1} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} σ) Type.{u2} (Set.hasCoeToSort.{u2} σ) s) R _inst_1) (coeSort.{succ (max u2 u1), succ (succ (max u2 u1))} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) Type.{max u2 u1} (SetLike.hasCoeToSort.{max u2 u1, max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (MvPolynomial.{u2, u1} σ R _inst_1) (Subalgebra.setLike.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s)) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} σ) Type.{u2} (Set.hasCoeToSort.{u2} σ) s) R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R (coeSort.{succ u2, succ (succ u2)} (Set.{u2} σ) Type.{u2} (Set.hasCoeToSort.{u2} σ) s) _inst_1)) (Subalgebra.toSemiring.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s)) (MvPolynomial.algebra.{u1, u1, u2} R R (coeSort.{succ u2, succ (succ u2)} (Set.{u2} σ) Type.{u2} (Set.hasCoeToSort.{u2} σ) s) _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (Subalgebra.algebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s))) (fun (_x : AlgEquiv.{u1, max u2 u1, max u2 u1} R (MvPolynomial.{u2, u1} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} σ) Type.{u2} (Set.hasCoeToSort.{u2} σ) s) R _inst_1) (coeSort.{succ (max u2 u1), succ (succ (max u2 u1))} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) Type.{max u2 u1} (SetLike.hasCoeToSort.{max u2 u1, max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (MvPolynomial.{u2, u1} σ R _inst_1) (Subalgebra.setLike.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s)) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} σ) Type.{u2} (Set.hasCoeToSort.{u2} σ) s) R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R (coeSort.{succ u2, succ (succ u2)} (Set.{u2} σ) Type.{u2} (Set.hasCoeToSort.{u2} σ) s) _inst_1)) (Subalgebra.toSemiring.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s)) (MvPolynomial.algebra.{u1, u1, u2} R R (coeSort.{succ u2, succ (succ u2)} (Set.{u2} σ) Type.{u2} (Set.hasCoeToSort.{u2} σ) s) _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (Subalgebra.algebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) 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(CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s))) (AlgEquiv.hasCoeToFun.{u1, max u2 u1, max u2 u1} R (MvPolynomial.{u2, u1} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} σ) Type.{u2} (Set.hasCoeToSort.{u2} σ) s) R _inst_1) (coeSort.{succ (max u2 u1), succ (succ (max u2 u1))} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) Type.{max u2 u1} (SetLike.hasCoeToSort.{max u2 u1, max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 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(Algebra.id.{u1} R _inst_1)) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s)) (Subalgebra.algebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s))) x)
 but is expected to have type
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σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))))))) (algebraMap.{u2, max u2 u1} R (Subtype.{succ (max u2 u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (fun (x : MvPolynomial.{u1, u2} σ R _inst_1) => Membership.mem.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (SetLike.instMembership.{max u2 u1, max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.instSetLikeSubalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) x (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))) _inst_1 (Subalgebra.toSemiring.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s)) (Subalgebra.instAlgebraSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiring.{u2, max u2 u1} R 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+  forall {σ : Type.{u1}} {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] (s : Set.{u1} σ) (x : R), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} (Set.Elem.{u1} σ s) R _inst_1) => Subtype.{succ (max u2 u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (fun (x : MvPolynomial.{u1, u2} σ R _inst_1) => Membership.mem.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (SetLike.instMembership.{max u2 u1, max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ 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_inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (SetLike.instMembership.{max u2 u1, max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.instSetLikeSubalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) x (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (Subtype.{succ (max u2 u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (fun (x : MvPolynomial.{u1, u2} σ R _inst_1) 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(MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.instSetLikeSubalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) x (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (Subtype.{succ (max u2 u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (fun (x : MvPolynomial.{u1, u2} σ R _inst_1) => Membership.mem.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (SetLike.instMembership.{max u2 u1, max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.instSetLikeSubalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) x (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))) 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σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))))))) (algebraMap.{u2, max u2 u1} R (Subtype.{succ (max u2 u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (fun (x : MvPolynomial.{u1, u2} σ R _inst_1) => Membership.mem.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (SetLike.instMembership.{max u2 u1, max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.instSetLikeSubalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) x (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))) _inst_1 (Subalgebra.toSemiring.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s)) (Subalgebra.algebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))) x)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.supported_equiv_mv_polynomial_symm_C MvPolynomial.supportedEquivMvPolynomial_symm_Cₓ'. -/
 @[simp]
 theorem supportedEquivMvPolynomial_symm_C (s : Set σ) (x : R) :
@@ -92,7 +92,7 @@ theorem supportedEquivMvPolynomial_symm_C (s : Set σ) (x : R) :
 lean 3 declaration is
   forall {σ : Type.{u2}} {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (s : Set.{u2} σ) (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} σ) Type.{u2} (Set.hasCoeToSort.{u2} σ) s), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) ((fun (a : Type.{max u2 u1}) (b : Sort.{max (succ u2) (succ u1)}) [self : HasLiftT.{succ (max u2 u1), max (succ u2) (succ u1)} a b] => self.0) (coeSort.{succ (max u2 u1), succ (succ (max u2 u1))} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) Type.{max u2 u1} (SetLike.hasCoeToSort.{max u2 u1, max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) 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(CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) Type.{max u2 u1} (SetLike.hasCoeToSort.{max u2 u1, max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (MvPolynomial.{u2, u1} σ R _inst_1) (Subalgebra.setLike.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s)) (MvPolynomial.{u2, u1} σ R _inst_1) (coeSubtype.{max (succ u2) 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 but is expected to have type
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_inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (SetLike.instMembership.{max u2 u1, max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.instSetLikeSubalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) x (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} (Set.Elem.{u1} σ s) R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R (Set.Elem.{u1} σ s) _inst_1)) (Subalgebra.toSemiring.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s)) (MvPolynomial.algebra.{u2, u2, u1} R R (Set.Elem.{u1} σ s) _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (Subalgebra.instAlgebraSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiring.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))) R (MvPolynomial.{u1, u2} (Set.Elem.{u1} σ s) R _inst_1) (Subtype.{succ (max u2 u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (fun (x : MvPolynomial.{u1, u2} σ R _inst_1) => Membership.mem.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (SetLike.instMembership.{max u2 u1, max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.instSetLikeSubalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) x (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} (Set.Elem.{u1} σ s) R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R (Set.Elem.{u1} σ s) _inst_1)) (Subalgebra.toSemiring.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s)) (MvPolynomial.algebra.{u2, u2, u1} R R (Set.Elem.{u1} σ s) _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (Subalgebra.instAlgebraSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiring.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 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(MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.instSetLikeSubalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) x (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} (Set.Elem.{u1} σ s) R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R (Set.Elem.{u1} σ s) _inst_1)) (Subalgebra.toSemiring.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s)) (MvPolynomial.algebra.{u2, u2, u1} R R (Set.Elem.{u1} σ s) _inst_1 _inst_1 (Algebra.id.{u2} R 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_inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} (Set.Elem.{u1} σ s) R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R (Set.Elem.{u1} σ s) _inst_1)) (Subalgebra.instAlgebraSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiring.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s)) (MvPolynomial.algebra.{u2, u2, u1} R R (Set.Elem.{u1} σ s) _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supportedEquivMvPolynomial.{u2, u1} σ R _inst_1 s)) (MvPolynomial.X.{u2, u1} R (Set.Elem.{u1} σ s) _inst_1 i))) (MvPolynomial.X.{u2, u1} R σ _inst_1 (Subtype.val.{succ u1} σ (fun (x : σ) => Membership.mem.{u1, u1} σ (Set.{u1} σ) (Set.instMembershipSet.{u1} σ) x s) i))
+  forall {σ : Type.{u1}} {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] (s : Set.{u1} σ) (i : Set.Elem.{u1} σ s), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (Subtype.val.{succ (max u2 u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (fun (x : MvPolynomial.{u1, u2} σ R _inst_1) => Membership.mem.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Set.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1)) (Set.instMembershipSet.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1)) x (SetLike.coe.{max u2 u1, max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.instSetLikeSubalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} 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_inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s)) (AlgEquiv.instAlgEquivClassAlgEquiv.{u2, max u1 u2, max u1 u2} R (MvPolynomial.{u1, u2} (Set.Elem.{u1} σ s) R _inst_1) (Subtype.{succ (max u2 u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (fun (x : MvPolynomial.{u1, u2} σ R _inst_1) => Membership.mem.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (SetLike.instMembership.{max u2 u1, max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.instSetLikeSubalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) x (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} (Set.Elem.{u1} σ s) R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R (Set.Elem.{u1} σ s) _inst_1)) (Subalgebra.toSemiring.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s)) (MvPolynomial.algebra.{u2, u2, u1} R R (Set.Elem.{u1} σ s) _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (Subalgebra.algebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s)))))))) (AlgEquiv.symm.{u2, max u1 u2, max u1 u2} R (Subtype.{succ (max u2 u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (fun (x : MvPolynomial.{u1, u2} σ R _inst_1) => Membership.mem.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (SetLike.instMembership.{max u2 u1, max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.instSetLikeSubalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) x (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))) (MvPolynomial.{u1, u2} (Set.Elem.{u1} σ s) R _inst_1) _inst_1 (Subalgebra.toSemiring.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} (Set.Elem.{u1} σ s) R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R (Set.Elem.{u1} σ s) _inst_1)) (Subalgebra.algebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s)) (MvPolynomial.algebra.{u2, u2, u1} R R (Set.Elem.{u1} σ s) _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supportedEquivMvPolynomial.{u2, u1} σ R _inst_1 s)) (MvPolynomial.X.{u2, u1} R (Set.Elem.{u1} σ s) _inst_1 i))) (MvPolynomial.X.{u2, u1} R σ _inst_1 (Subtype.val.{succ u1} σ (fun (x : σ) => Membership.mem.{u1, u1} σ (Set.{u1} σ) (Set.instMembershipSet.{u1} σ) x s) i))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.supported_equiv_mv_polynomial_symm_X MvPolynomial.supportedEquivMvPolynomial_symm_Xₓ'. -/
 @[simp]
 theorem supportedEquivMvPolynomial_symm_X (s : Set σ) (i : s) :

2f5b500a

bump to nightly-2023-05-19-16

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

a31df521

Diff

@@ -78,7 +78,7 @@ noncomputable def supportedEquivMvPolynomial (s : Set σ) : supported R s ≃ₐ
 lean 3 declaration is
   forall {σ : Type.{u2}} {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (s : Set.{u2} σ) (x : R), Eq.{succ (max u2 u1)} (coeSort.{succ (max u2 u1), succ (succ (max u2 u1))} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) Type.{max u2 u1} (SetLike.hasCoeToSort.{max u2 u1, max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (MvPolynomial.{u2, u1} σ R _inst_1) (Subalgebra.setLike.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s)) (coeFn.{succ (max u2 u1), succ (max u2 u1)} (AlgEquiv.{u1, max u2 u1, max u2 u1} R (MvPolynomial.{u2, u1} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} σ) Type.{u2} (Set.hasCoeToSort.{u2} σ) s) R _inst_1) (coeSort.{succ (max u2 u1), succ (succ (max u2 u1))} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) Type.{max u2 u1} (SetLike.hasCoeToSort.{max u2 u1, max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (MvPolynomial.{u2, u1} σ R _inst_1) (Subalgebra.setLike.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s)) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} σ) Type.{u2} (Set.hasCoeToSort.{u2} σ) s) R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R (coeSort.{succ u2, succ (succ u2)} (Set.{u2} σ) Type.{u2} (Set.hasCoeToSort.{u2} σ) s) _inst_1)) (Subalgebra.toSemiring.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s)) (MvPolynomial.algebra.{u1, u1, u2} R R (coeSort.{succ u2, succ (succ u2)} (Set.{u2} σ) Type.{u2} (Set.hasCoeToSort.{u2} σ) s) _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (Subalgebra.algebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s))) (fun (_x : AlgEquiv.{u1, max u2 u1, max u2 u1} R (MvPolynomial.{u2, u1} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} σ) Type.{u2} (Set.hasCoeToSort.{u2} σ) s) R _inst_1) (coeSort.{succ (max u2 u1), succ (succ (max u2 u1))} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) Type.{max u2 u1} (SetLike.hasCoeToSort.{max u2 u1, max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (MvPolynomial.{u2, u1} σ R _inst_1) (Subalgebra.setLike.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s)) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} σ) Type.{u2} (Set.hasCoeToSort.{u2} σ) s) R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R (coeSort.{succ u2, succ (succ u2)} (Set.{u2} σ) Type.{u2} (Set.hasCoeToSort.{u2} σ) s) _inst_1)) (Subalgebra.toSemiring.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s)) (MvPolynomial.algebra.{u1, u1, u2} R R (coeSort.{succ u2, succ (succ u2)} (Set.{u2} σ) Type.{u2} (Set.hasCoeToSort.{u2} σ) s) _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (Subalgebra.algebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) 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(Algebra.id.{u1} R _inst_1)) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s)) (Subalgebra.algebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s))) x)
 but is expected to have type
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σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))))))) (algebraMap.{u2, max u2 u1} R (Subtype.{succ (max u2 u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (fun (x : MvPolynomial.{u1, u2} σ R _inst_1) => Membership.mem.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (SetLike.instMembership.{max u2 u1, max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.instSetLikeSubalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) x (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))) _inst_1 (Subalgebra.toSemiring.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s)) (Subalgebra.instAlgebraSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiring.{u2, max u2 u1} R 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+  forall {σ : Type.{u1}} {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] (s : Set.{u1} σ) (x : R), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} (Set.Elem.{u1} σ s) R _inst_1) => Subtype.{succ (max u2 u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (fun (x : MvPolynomial.{u1, u2} σ R _inst_1) => Membership.mem.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (SetLike.instMembership.{max u2 u1, max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ 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(MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s))) x)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.supported_equiv_mv_polynomial_symm_C MvPolynomial.supportedEquivMvPolynomial_symm_Cₓ'. -/
 @[simp]
 theorem supportedEquivMvPolynomial_symm_C (s : Set σ) (x : R) :

2f5b500a

bump to nightly-2023-05-16-16

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

9cb92e8c

Diff

@@ -177,7 +177,7 @@ variable {s}
 
 /- warning: mv_polynomial.supported_mono -> MvPolynomial.supported_mono is a dubious translation:
 lean 3 declaration is
-  forall {σ : Type.{u2}} {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {s : Set.{u2} σ} {t : Set.{u2} σ}, (HasSubset.Subset.{u2} (Set.{u2} σ) (Set.hasSubset.{u2} σ) s t) -> (LE.le.{max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (Preorder.toLE.{max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (PartialOrder.toPreorder.{max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (SetLike.partialOrder.{max u2 u1, max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (MvPolynomial.{u2, u1} σ R _inst_1) (Subalgebra.setLike.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))))) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s) (MvPolynomial.supported.{u1, u2} σ R _inst_1 t))
+  forall {σ : Type.{u2}} {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {s : Set.{u2} σ} {t : Set.{u2} σ}, (HasSubset.Subset.{u2} (Set.{u2} σ) (Set.hasSubset.{u2} σ) s t) -> (LE.le.{max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (Preorder.toHasLe.{max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (PartialOrder.toPreorder.{max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (SetLike.partialOrder.{max u2 u1, max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (MvPolynomial.{u2, u1} σ R _inst_1) (Subalgebra.setLike.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))))) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s) (MvPolynomial.supported.{u1, u2} σ R _inst_1 t))
 but is expected to have type
   forall {σ : Type.{u1}} {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] {s : Set.{u1} σ} {t : Set.{u1} σ}, (HasSubset.Subset.{u1} (Set.{u1} σ) (Set.instHasSubsetSet.{u1} σ) s t) -> (LE.le.{max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (Preorder.toLE.{max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (PartialOrder.toPreorder.{max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (OmegaCompletePartialOrder.toPartialOrder.{max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (CompleteLattice.instOmegaCompletePartialOrder.{max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (Algebra.instCompleteLatticeSubalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s) (MvPolynomial.supported.{u2, u1} σ R _inst_1 t))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.supported_mono MvPolynomial.supported_monoₓ'. -/
@@ -198,7 +198,7 @@ theorem X_mem_supported [Nontrivial R] {i : σ} : X i ∈ supported R s ↔ i 
 
 /- warning: mv_polynomial.supported_le_supported_iff -> MvPolynomial.supported_le_supported_iff is a dubious translation:
 lean 3 declaration is
-  forall {σ : Type.{u2}} {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {s : Set.{u2} σ} {t : Set.{u2} σ} [_inst_2 : Nontrivial.{u1} R], Iff (LE.le.{max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (Preorder.toLE.{max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (PartialOrder.toPreorder.{max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (SetLike.partialOrder.{max u2 u1, max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (MvPolynomial.{u2, u1} σ R _inst_1) (Subalgebra.setLike.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))))) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s) (MvPolynomial.supported.{u1, u2} σ R _inst_1 t)) (HasSubset.Subset.{u2} (Set.{u2} σ) (Set.hasSubset.{u2} σ) s t)
+  forall {σ : Type.{u2}} {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {s : Set.{u2} σ} {t : Set.{u2} σ} [_inst_2 : Nontrivial.{u1} R], Iff (LE.le.{max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (Preorder.toHasLe.{max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (PartialOrder.toPreorder.{max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (SetLike.partialOrder.{max u2 u1, max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (MvPolynomial.{u2, u1} σ R _inst_1) (Subalgebra.setLike.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))))) (MvPolynomial.supported.{u1, u2} σ R _inst_1 s) (MvPolynomial.supported.{u1, u2} σ R _inst_1 t)) (HasSubset.Subset.{u2} (Set.{u2} σ) (Set.hasSubset.{u2} σ) s t)
 but is expected to have type
   forall {σ : Type.{u1}} {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] {s : Set.{u1} σ} {t : Set.{u1} σ} [_inst_2 : Nontrivial.{u2} R], Iff (LE.le.{max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (Preorder.toLE.{max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (PartialOrder.toPreorder.{max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (OmegaCompletePartialOrder.toPartialOrder.{max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (CompleteLattice.instOmegaCompletePartialOrder.{max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (Algebra.instCompleteLatticeSubalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (MvPolynomial.supported.{u2, u1} σ R _inst_1 s) (MvPolynomial.supported.{u2, u1} σ R _inst_1 t)) (HasSubset.Subset.{u1} (Set.{u1} σ) (Set.instHasSubsetSet.{u1} σ) s t)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.supported_le_supported_iff MvPolynomial.supported_le_supported_iffₓ'. -/

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: Chris Hughes
 
 ! This file was ported from Lean 3 source module data.mv_polynomial.supported
-! 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.
 -/
@@ -50,8 +50,6 @@ noncomputable def supported (s : Set σ) : Subalgebra R (MvPolynomial σ R) :=
 
 variable {σ R}
 
-open Classical
-
 open Algebra
 
 /- warning: mv_polynomial.supported_eq_range_rename -> MvPolynomial.supported_eq_range_rename is a dubious translation:
@@ -110,15 +108,15 @@ lean 3 declaration is
 but is expected to have type
   forall {σ : Type.{u1}} {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] {p : MvPolynomial.{u1, u2} σ R _inst_1} {s : Set.{u1} σ}, Iff (Membership.mem.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (SetLike.instMembership.{max u2 u1, max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (Subalgebra.instSetLikeSubalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) p (MvPolynomial.supported.{u2, u1} σ R _inst_1 s)) (HasSubset.Subset.{u1} (Set.{u1} σ) (Set.instHasSubsetSet.{u1} σ) (Finset.toSet.{u1} σ (MvPolynomial.vars.{u2, u1} R σ _inst_1 p)) s)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.mem_supported MvPolynomial.mem_supportedₓ'. -/
-theorem mem_supported : p ∈ supported R s ↔ ↑p.vars ⊆ s :=
-  by
-  rw [supported_eq_range_rename, AlgHom.mem_range]
-  constructor
-  · rintro ⟨p, rfl⟩
-    refine' trans (Finset.coe_subset.2 (vars_rename _ _)) _
-    simp
-  · intro hs
-    exact exists_rename_eq_of_vars_subset_range p (coe : s → σ) Subtype.val_injective (by simpa)
+theorem mem_supported : p ∈ supported R s ↔ ↑p.vars ⊆ s := by
+  classical
+    rw [supported_eq_range_rename, AlgHom.mem_range]
+    constructor
+    · rintro ⟨p, rfl⟩
+      refine' trans (Finset.coe_subset.2 (vars_rename _ _)) _
+      simp
+    · intro hs
+      exact exists_rename_eq_of_vars_subset_range p (coe : s → σ) Subtype.val_injective (by simpa)
 #align mv_polynomial.mem_supported MvPolynomial.mem_supported
 
 /- warning: mv_polynomial.supported_eq_vars_subset -> MvPolynomial.supported_eq_vars_subset is a dubious translation:

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: Chris Hughes
 
 ! This file was ported from Lean 3 source module data.mv_polynomial.supported
-! leanprover-community/mathlib commit a26d17fcd679e43d380d0583b33c9eca5359d41e
+! 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
 /-!
 # Polynomials supported by a set of variables
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This file contains the definition and lemmas about `mv_polynomial.supported`.
 
 ## Main definitions

a26d17fc

bump to nightly-2023-03-18-16

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

345da859

Diff

@@ -38,10 +38,12 @@ variable [CommSemiring R] {p q : MvPolynomial σ R}
 
 variable (R)
 
+#print MvPolynomial.supported /-
 /-- The set of polynomials whose variables are contained in `s` as a `subalgebra` over `R`. -/
 noncomputable def supported (s : Set σ) : Subalgebra R (MvPolynomial σ R) :=
   Algebra.adjoin R (X '' s)
 #align mv_polynomial.supported MvPolynomial.supported
+-/
 
 variable {σ R}
 
@@ -49,32 +51,62 @@ open Classical
 
 open Algebra
 
+/- warning: mv_polynomial.supported_eq_range_rename -> MvPolynomial.supported_eq_range_rename is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.supported_eq_range_rename MvPolynomial.supported_eq_range_renameₓ'. -/
 theorem supported_eq_range_rename (s : Set σ) : supported R s = (rename (coe : s → σ)).range := by
   rw [supported, Set.image_eq_range, adjoin_range_eq_range_aeval, rename]
 #align mv_polynomial.supported_eq_range_rename MvPolynomial.supported_eq_range_rename
 
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.supported_equiv_mv_polynomial MvPolynomial.supportedEquivMvPolynomialₓ'. -/
 /-- The isomorphism between the subalgebra of polynomials supported by `s` and `mv_polynomial s R`-/
 noncomputable def supportedEquivMvPolynomial (s : Set σ) : supported R s ≃ₐ[R] MvPolynomial s R :=
   (Subalgebra.equivOfEq _ _ (supported_eq_range_rename s)).trans
     (AlgEquiv.ofInjective (rename (coe : s → σ)) (rename_injective _ Subtype.val_injective)).symm
 #align mv_polynomial.supported_equiv_mv_polynomial MvPolynomial.supportedEquivMvPolynomial
 
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.supported_equiv_mv_polynomial_symm_C MvPolynomial.supportedEquivMvPolynomial_symm_Cₓ'. -/
 @[simp]
-theorem supportedEquivMvPolynomial_symm_c (s : Set σ) (x : R) :
+theorem supportedEquivMvPolynomial_symm_C (s : Set σ) (x : R) :
     (supportedEquivMvPolynomial s).symm (C x) = algebraMap R (supported R s) x :=
   by
   ext1
   simp [supported_equiv_mv_polynomial, MvPolynomial.algebraMap_eq]
-#align mv_polynomial.supported_equiv_mv_polynomial_symm_C MvPolynomial.supportedEquivMvPolynomial_symm_c
-
+#align mv_polynomial.supported_equiv_mv_polynomial_symm_C MvPolynomial.supportedEquivMvPolynomial_symm_C
+
+/- warning: mv_polynomial.supported_equiv_mv_polynomial_symm_X -> MvPolynomial.supportedEquivMvPolynomial_symm_X is a dubious translation:
+lean 3 declaration is
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(Set.instMembershipSet.{u1} σ) x s) i))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.supported_equiv_mv_polynomial_symm_X MvPolynomial.supportedEquivMvPolynomial_symm_Xₓ'. -/
 @[simp]
-theorem supportedEquivMvPolynomial_symm_x (s : Set σ) (i : s) :
+theorem supportedEquivMvPolynomial_symm_X (s : Set σ) (i : s) :
     (↑((supportedEquivMvPolynomial s).symm (X i : MvPolynomial s R)) : MvPolynomial σ R) = X i := by
   simp [supported_equiv_mv_polynomial]
-#align mv_polynomial.supported_equiv_mv_polynomial_symm_X MvPolynomial.supportedEquivMvPolynomial_symm_x
+#align mv_polynomial.supported_equiv_mv_polynomial_symm_X MvPolynomial.supportedEquivMvPolynomial_symm_X
 
 variable {s t : Set σ}
 
+/- warning: mv_polynomial.mem_supported -> MvPolynomial.mem_supported is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.mem_supported MvPolynomial.mem_supportedₓ'. -/
 theorem mem_supported : p ∈ supported R s ↔ ↑p.vars ⊆ s :=
   by
   rw [supported_eq_range_rename, AlgHom.mem_range]
@@ -86,10 +118,22 @@ theorem mem_supported : p ∈ supported R s ↔ ↑p.vars ⊆ s :=
     exact exists_rename_eq_of_vars_subset_range p (coe : s → σ) Subtype.val_injective (by simpa)
 #align mv_polynomial.mem_supported MvPolynomial.mem_supported
 
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 theorem supported_eq_vars_subset : (supported R s : Set (MvPolynomial σ R)) = { p | ↑p.vars ⊆ s } :=
   Set.ext fun _ => mem_supported
 #align mv_polynomial.supported_eq_vars_subset MvPolynomial.supported_eq_vars_subset
 
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 @[simp]
 theorem mem_supported_vars (p : MvPolynomial σ R) : p ∈ supported R (↑p.vars : Set σ) := by
   rw [mem_supported]
@@ -97,30 +141,66 @@ theorem mem_supported_vars (p : MvPolynomial σ R) : p ∈ supported R (↑p.var
 
 variable (s)
 
-theorem supported_eq_adjoin_x : supported R s = Algebra.adjoin R (X '' s) :=
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+theorem supported_eq_adjoin_X : supported R s = Algebra.adjoin R (X '' s) :=
   rfl
-#align mv_polynomial.supported_eq_adjoin_X MvPolynomial.supported_eq_adjoin_x
-
+#align mv_polynomial.supported_eq_adjoin_X MvPolynomial.supported_eq_adjoin_X
+
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.supported_univ MvPolynomial.supported_univₓ'. -/
 @[simp]
 theorem supported_univ : supported R (Set.univ : Set σ) = ⊤ := by
   simp [Algebra.eq_top_iff, mem_supported]
 #align mv_polynomial.supported_univ MvPolynomial.supported_univ
 
+/- warning: mv_polynomial.supported_empty -> MvPolynomial.supported_empty is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.supported_empty MvPolynomial.supported_emptyₓ'. -/
 @[simp]
 theorem supported_empty : supported R (∅ : Set σ) = ⊥ := by simp [supported_eq_adjoin_X]
 #align mv_polynomial.supported_empty MvPolynomial.supported_empty
 
 variable {s}
 
+/- warning: mv_polynomial.supported_mono -> MvPolynomial.supported_mono is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.supported_mono MvPolynomial.supported_monoₓ'. -/
 theorem supported_mono (st : s ⊆ t) : supported R s ≤ supported R t :=
   Algebra.adjoin_mono (Set.image_subset _ st)
 #align mv_polynomial.supported_mono MvPolynomial.supported_mono
 
+/- warning: mv_polynomial.X_mem_supported -> MvPolynomial.X_mem_supported is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.X_mem_supported MvPolynomial.X_mem_supportedₓ'. -/
 @[simp]
-theorem x_mem_supported [Nontrivial R] {i : σ} : X i ∈ supported R s ↔ i ∈ s := by
+theorem X_mem_supported [Nontrivial R] {i : σ} : X i ∈ supported R s ↔ i ∈ s := by
   simp [mem_supported]
-#align mv_polynomial.X_mem_supported MvPolynomial.x_mem_supported
-
+#align mv_polynomial.X_mem_supported MvPolynomial.X_mem_supported
+
+/- warning: mv_polynomial.supported_le_supported_iff -> MvPolynomial.supported_le_supported_iff is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.supported_le_supported_iff MvPolynomial.supported_le_supported_iffₓ'. -/
 @[simp]
 theorem supported_le_supported_iff [Nontrivial R] : supported R s ≤ supported R t ↔ s ⊆ t :=
   by
@@ -130,11 +210,23 @@ theorem supported_le_supported_iff [Nontrivial R] : supported R s ≤ supported
   · exact supported_mono
 #align mv_polynomial.supported_le_supported_iff MvPolynomial.supported_le_supported_iff
 
+/- warning: mv_polynomial.supported_strict_mono -> MvPolynomial.supported_strictMono 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.supported_strict_mono MvPolynomial.supported_strictMonoₓ'. -/
 theorem supported_strictMono [Nontrivial R] :
     StrictMono (supported R : Set σ → Subalgebra R (MvPolynomial σ R)) :=
   strictMono_of_le_iff_le fun _ _ => supported_le_supported_iff.symm
 #align mv_polynomial.supported_strict_mono MvPolynomial.supported_strictMono
 
+/- warning: mv_polynomial.exists_restrict_to_vars -> MvPolynomial.exists_restrict_to_vars is a dubious translation:
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Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)))))) (AddCommMonoid.toAddMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)))))) (Module.toDistribMulAction.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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))))) (Algebra.toModule.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) Int.instCommSemiringInt (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)) (MvPolynomial.algebra.{0, 0, u1} Int Int σ Int.instCommSemiringInt Int.instCommSemiringInt (Algebra.id.{0} Int Int.instCommSemiringInt)))) (Module.toDistribMulAction.{0, u2} Int R (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2))))) (Algebra.toModule.{0, u2} Int R Int.instCommSemiringInt (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u1 u2, 0, u1, u2} (AlgHom.{0, u1, u2} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) R Int.instCommSemiringInt (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)) (MvPolynomial.algebra.{0, 0, u1} Int Int σ Int.instCommSemiringInt Int.instCommSemiringInt (Algebra.id.{0} Int Int.instCommSemiringInt)) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2))) Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) R (MonoidWithZero.toMonoid.{0} Int (Semiring.toMonoidWithZero.{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)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)))) (Module.toDistribMulAction.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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))))) (Algebra.toModule.{0, u1} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) Int.instCommSemiringInt (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)) (MvPolynomial.algebra.{0, 0, u1} Int Int σ Int.instCommSemiringInt Int.instCommSemiringInt (Algebra.id.{0} Int Int.instCommSemiringInt)))) (Module.toDistribMulAction.{0, u2} Int R (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2))))) (Algebra.toModule.{0, u2} Int R Int.instCommSemiringInt (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{0, u1, u2, max u1 u2} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) R Int.instCommSemiringInt (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)) (MvPolynomial.algebra.{0, 0, u1} Int Int σ Int.instCommSemiringInt Int.instCommSemiringInt (Algebra.id.{0} Int Int.instCommSemiringInt)) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2)) (AlgHom.{0, u1, u2} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) R Int.instCommSemiringInt (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)) (MvPolynomial.algebra.{0, 0, u1} Int Int σ Int.instCommSemiringInt Int.instCommSemiringInt (Algebra.id.{0} Int Int.instCommSemiringInt)) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2))) (AlgHom.algHomClass.{0, u1, u2} Int (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) R Int.instCommSemiringInt (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} σ Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int σ Int.instCommSemiringInt)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_2)) (MvPolynomial.algebra.{0, 0, u1} Int Int σ Int.instCommSemiringInt Int.instCommSemiringInt (Algebra.id.{0} Int Int.instCommSemiringInt)) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2))))))) (MvPolynomial.aeval.{0, u2, u1} Int R σ Int.instCommSemiringInt (CommRing.toCommSemiring.{u2} R _inst_2) (algebraInt.{u2} R (CommRing.toRing.{u2} R _inst_2)) x) F)))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.exists_restrict_to_vars MvPolynomial.exists_restrict_to_varsₓ'. -/
 theorem exists_restrict_to_vars (R : Type _) [CommRing R] {F : MvPolynomial σ ℤ}
     (hF : ↑F.vars ⊆ s) : ∃ f : (s → R) → R, ∀ x : σ → R, f (x ∘ coe : s → R) = aeval x F := by
   classical

a26d17fc

bump to nightly-2023-03-15-10

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

f73428b0

Diff

@@ -40,7 +40,7 @@ variable (R)
 
 /-- The set of polynomials whose variables are contained in `s` as a `subalgebra` over `R`. -/
 noncomputable def supported (s : Set σ) : Subalgebra R (MvPolynomial σ R) :=
-  Algebra.adjoin R (x '' s)
+  Algebra.adjoin R (X '' s)
 #align mv_polynomial.supported MvPolynomial.supported
 
 variable {σ R}
@@ -61,7 +61,7 @@ noncomputable def supportedEquivMvPolynomial (s : Set σ) : supported R s ≃ₐ
 
 @[simp]
 theorem supportedEquivMvPolynomial_symm_c (s : Set σ) (x : R) :
-    (supportedEquivMvPolynomial s).symm (c x) = algebraMap R (supported R s) x :=
+    (supportedEquivMvPolynomial s).symm (C x) = algebraMap R (supported R s) x :=
   by
   ext1
   simp [supported_equiv_mv_polynomial, MvPolynomial.algebraMap_eq]
@@ -69,7 +69,7 @@ theorem supportedEquivMvPolynomial_symm_c (s : Set σ) (x : R) :
 
 @[simp]
 theorem supportedEquivMvPolynomial_symm_x (s : Set σ) (i : s) :
-    (↑((supportedEquivMvPolynomial s).symm (x i : MvPolynomial s R)) : MvPolynomial σ R) = x i := by
+    (↑((supportedEquivMvPolynomial s).symm (X i : MvPolynomial s R)) : MvPolynomial σ R) = X i := by
   simp [supported_equiv_mv_polynomial]
 #align mv_polynomial.supported_equiv_mv_polynomial_symm_X MvPolynomial.supportedEquivMvPolynomial_symm_x
 
@@ -97,7 +97,7 @@ theorem mem_supported_vars (p : MvPolynomial σ R) : p ∈ supported R (↑p.var
 
 variable (s)
 
-theorem supported_eq_adjoin_x : supported R s = Algebra.adjoin R (x '' s) :=
+theorem supported_eq_adjoin_x : supported R s = Algebra.adjoin R (X '' s) :=
   rfl
 #align mv_polynomial.supported_eq_adjoin_X MvPolynomial.supported_eq_adjoin_x
 
@@ -117,7 +117,7 @@ theorem supported_mono (st : s ⊆ t) : supported R s ≤ supported R t :=
 #align mv_polynomial.supported_mono MvPolynomial.supported_mono
 
 @[simp]
-theorem x_mem_supported [Nontrivial R] {i : σ} : x i ∈ supported R s ↔ i ∈ s := by
+theorem x_mem_supported [Nontrivial R] {i : σ} : X i ∈ supported R s ↔ i ∈ s := by
   simp [mem_supported]
 #align mv_polynomial.X_mem_supported MvPolynomial.x_mem_supported

a26d17fc

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

2f5b500a

style: replace '.-/' by '. -/' (#11938)

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

3556ded2

Diff

@@ -48,7 +48,8 @@ theorem supported_eq_range_rename (s : Set σ) : supported R s = (rename ((↑)
   congr
 #align mv_polynomial.supported_eq_range_rename MvPolynomial.supported_eq_range_rename
 
-/-- The isomorphism between the subalgebra of polynomials supported by `s` and `MvPolynomial s R`.-/
+/-- The isomorphism between the subalgebra of polynomials supported by `s` and
+`MvPolynomial s R`. -/
 noncomputable def supportedEquivMvPolynomial (s : Set σ) : supported R s ≃ₐ[R] MvPolynomial s R :=
   (Subalgebra.equivOfEq _ _ (supported_eq_range_rename s)).trans
     (AlgEquiv.ofInjective (rename ((↑) : s → σ)) (rename_injective _ Subtype.val_injective)).symm

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) 2021 Chris Hughes. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Chris Hughes
 -/
-import Mathlib.Data.MvPolynomial.Variables
+import Mathlib.Algebra.MvPolynomial.Variables
 
 #align_import data.mv_polynomial.supported from "leanprover-community/mathlib"@"2f5b500a507264de86d666a5f87ddb976e2d8de4"

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

@@ -32,7 +32,6 @@ variable {σ τ : Type*} {R : Type u} {S : Type v} {r : R} {e : ℕ} {n m : σ}
 section CommSemiring
 
 variable [CommSemiring R] {p q : MvPolynomial σ R}
-
 variable (R)
 
 /-- The set of polynomials whose variables are contained in `s` as a `Subalgebra` over `R`. -/

2f5b500a

style: homogenise porting notes (#11145)

Homogenises porting notes via capitalisation and addition of whitespace.

It makes the following changes:

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

8be0b69c

Diff

@@ -55,7 +55,7 @@ noncomputable def supportedEquivMvPolynomial (s : Set σ) : supported R s ≃ₐ
     (AlgEquiv.ofInjective (rename ((↑) : s → σ)) (rename_injective _ Subtype.val_injective)).symm
 #align mv_polynomial.supported_equiv_mv_polynomial MvPolynomial.supportedEquivMvPolynomial
 
-@[simp, nolint simpNF]  -- porting note: the `simpNF` linter complained about this lemma.
+@[simp, nolint simpNF]  -- Porting note: the `simpNF` linter complained about this lemma.
 theorem supportedEquivMvPolynomial_symm_C (s : Set σ) (x : R) :
     (supportedEquivMvPolynomial s).symm (C x) = algebraMap R (supported R s) x := by
   ext1
@@ -63,7 +63,7 @@ theorem supportedEquivMvPolynomial_symm_C (s : Set σ) (x : R) :
 set_option linter.uppercaseLean3 false in
 #align mv_polynomial.supported_equiv_mv_polynomial_symm_C MvPolynomial.supportedEquivMvPolynomial_symm_C
 
-@[simp, nolint simpNF]  -- porting note: the `simpNF` linter complained about this lemma.
+@[simp, nolint simpNF]  -- Porting note: the `simpNF` linter complained about this lemma.
 theorem supportedEquivMvPolynomial_symm_X (s : Set σ) (i : s) :
     (↑((supportedEquivMvPolynomial s).symm (X i : MvPolynomial s R)) : MvPolynomial σ R) = X ↑i :=
   by simp [supportedEquivMvPolynomial]

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

@@ -27,7 +27,7 @@ universe u v w
 
 namespace MvPolynomial
 
-variable {σ τ : Type _} {R : Type u} {S : Type v} {r : R} {e : ℕ} {n m : σ}
+variable {σ τ : Type*} {R : Type u} {S : Type v} {r : R} {e : ℕ} {n m : σ}
 
 section CommSemiring
 
@@ -132,7 +132,7 @@ theorem supported_strictMono [Nontrivial R] :
   strictMono_of_le_iff_le fun _ _ ↦ supported_le_supported_iff.symm
 #align mv_polynomial.supported_strict_mono MvPolynomial.supported_strictMono
 
-theorem exists_restrict_to_vars (R : Type _) [CommRing R] {F : MvPolynomial σ ℤ}
+theorem exists_restrict_to_vars (R : Type*) [CommRing R] {F : MvPolynomial σ ℤ}
     (hF : ↑F.vars ⊆ s) : ∃ f : (s → R) → R, ∀ x : σ → R, f (x ∘ (↑) : s → R) = aeval x F := by
   rw [← mem_supported, supported_eq_range_rename, AlgHom.mem_range] at hF
   cases' hF with F' hF'

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) 2021 Chris Hughes. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Chris Hughes
-
-! This file was ported from Lean 3 source module data.mv_polynomial.supported
-! 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.supported from "leanprover-community/mathlib"@"2f5b500a507264de86d666a5f87ddb976e2d8de4"
+
 /-!
 # Polynomials supported by a set of variables

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: Chris Hughes
 
 ! This file was ported from Lean 3 source module data.mv_polynomial.supported
-! leanprover-community/mathlib commit a26d17fcd679e43d380d0583b33c9eca5359d41e
+! leanprover-community/mathlib commit 2f5b500a507264de86d666a5f87ddb976e2d8de4
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -45,8 +45,6 @@ noncomputable def supported (s : Set σ) : Subalgebra R (MvPolynomial σ R) :=
 
 variable {R}
 
-open Classical
-
 open Algebra
 
 theorem supported_eq_range_rename (s : Set σ) : supported R s = (rename ((↑) : s → σ)).range := by
@@ -78,6 +76,7 @@ set_option linter.uppercaseLean3 false in
 variable {s t : Set σ}
 
 theorem mem_supported : p ∈ supported R s ↔ ↑p.vars ⊆ s := by
+  classical
   rw [supported_eq_range_rename, AlgHom.mem_range]
   constructor
   · rintro ⟨p, rfl⟩

a26d17fc

feat: port NumberTheory.LegendreSymbol.MulCharacter (#2994)

Zulip thread

Co-authored-by: Parcly Taxel <reddeloostw@gmail.com> Co-authored-by: int-y1 <jason_yuen2007@hotmail.com> Co-authored-by: adomani <adomani@gmail.com> Co-authored-by: damiano <adomani@gmail.com>

362fc59a

Diff

@@ -60,7 +60,7 @@ noncomputable def supportedEquivMvPolynomial (s : Set σ) : supported R s ≃ₐ
     (AlgEquiv.ofInjective (rename ((↑) : s → σ)) (rename_injective _ Subtype.val_injective)).symm
 #align mv_polynomial.supported_equiv_mv_polynomial MvPolynomial.supportedEquivMvPolynomial
 
-@[simp]
+@[simp, nolint simpNF]  -- porting note: the `simpNF` linter complained about this lemma.
 theorem supportedEquivMvPolynomial_symm_C (s : Set σ) (x : R) :
     (supportedEquivMvPolynomial s).symm (C x) = algebraMap R (supported R s) x := by
   ext1
@@ -68,7 +68,7 @@ theorem supportedEquivMvPolynomial_symm_C (s : Set σ) (x : R) :
 set_option linter.uppercaseLean3 false in
 #align mv_polynomial.supported_equiv_mv_polynomial_symm_C MvPolynomial.supportedEquivMvPolynomial_symm_C
 
-@[simp]
+@[simp, nolint simpNF]  -- porting note: the `simpNF` linter complained about this lemma.
 theorem supportedEquivMvPolynomial_symm_X (s : Set σ) (i : s) :
     (↑((supportedEquivMvPolynomial s).symm (X i : MvPolynomial s R)) : MvPolynomial σ R) = X ↑i :=
   by simp [supportedEquivMvPolynomial]

a26d17fc

feat: port Data.MvPolynomial.Supported (#2972)

2453c08c

`data.mv_polynomial.supported` ⟷ `Mathlib.Data.MvPolynomial.Supported`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 466

data.mv_polynomial.supported ⟷ Mathlib.Data.MvPolynomial.Supported

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 466

`data.mv_polynomial.supported` ⟷ `Mathlib.Data.MvPolynomial.Supported`