ring_theory.polynomial.opposites | 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

63417e01

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

93287238

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) 2022 Damiano Testa. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Damiano Testa
 -/
-import Data.Polynomial.Degree.Definitions
+import Algebra.Polynomial.Degree.Definitions
 
 #align_import ring_theory.polynomial.opposites from "leanprover-community/mathlib"@"932872382355f00112641d305ba0619305dc8642"

93287238

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) 2022 Damiano Testa. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Damiano Testa
 -/
-import Mathbin.Data.Polynomial.Degree.Definitions
+import Data.Polynomial.Degree.Definitions
 
 #align_import ring_theory.polynomial.opposites from "leanprover-community/mathlib"@"932872382355f00112641d305ba0619305dc8642"

93287238

bump to nightly-2023-08-11-09

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

0d5a6584

Diff

@@ -45,7 +45,7 @@ def opRingEquiv (R : Type _) [Semiring R] : R[X]ᵐᵒᵖ ≃+* Rᵐᵒᵖ[X] :=
 theorem opRingEquiv_op_monomial (n : ℕ) (r : R) :
     opRingEquiv R (op (monomial n r : R[X])) = monomial n (op r) := by
   simp only [op_ring_equiv, RingEquiv.trans_apply, RingEquiv.op_apply_apply,
-    RingEquiv.toAddEquiv_eq_coe, AddEquiv.mulOp_apply, AddEquiv.toFun_eq_coe, AddEquiv.coe_trans,
+    RingEquiv.toAddEquiv_eq_coe, AddEquiv.mulOp_apply, AddEquiv.to_fun_eq_coe, AddEquiv.coe_trans,
     op_add_equiv_apply, RingEquiv.coe_toAddEquiv, op_add_equiv_symm_apply, Function.comp_apply,
     unop_op, to_finsupp_iso_apply, to_finsupp_monomial, AddMonoidAlgebra.opRingEquiv_single,
     to_finsupp_iso_symm_apply, of_finsupp_single]

93287238

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) 2022 Damiano Testa. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Damiano Testa
-
-! This file was ported from Lean 3 source module ring_theory.polynomial.opposites
-! leanprover-community/mathlib commit 932872382355f00112641d305ba0619305dc8642
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Data.Polynomial.Degree.Definitions
 
+#align_import ring_theory.polynomial.opposites from "leanprover-community/mathlib"@"932872382355f00112641d305ba0619305dc8642"
+
 /-!  #  Interactions between `R[X]` and `Rᵐᵒᵖ[X]`
 
 > THIS FILE IS SYNCHRONIZED WITH MATHLIB4.

93287238

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -30,11 +30,13 @@ noncomputable section
 
 namespace Polynomial
 
+#print Polynomial.opRingEquiv /-
 /-- Ring isomorphism between `R[X]ᵐᵒᵖ` and `Rᵐᵒᵖ[X]` sending each coefficient of a polynomial
 to the corresponding element of the opposite ring. -/
 def opRingEquiv (R : Type _) [Semiring R] : R[X]ᵐᵒᵖ ≃+* Rᵐᵒᵖ[X] :=
   ((toFinsuppIso R).op.trans AddMonoidAlgebra.opRingEquiv).trans (toFinsuppIso _).symm
 #align polynomial.op_ring_equiv Polynomial.opRingEquiv
+-/
 
 /-!  Lemmas to get started, using `op_ring_equiv R` on the various expressions of
 `finsupp.single`: `monomial`, `C a`, `X`, `C a * X ^ n`. -/

93287238

bump to nightly-2023-06-01-04

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

4d9eaa85

Diff

@@ -46,7 +46,7 @@ def opRingEquiv (R : Type _) [Semiring R] : R[X]ᵐᵒᵖ ≃+* Rᵐᵒᵖ[X] :=
 theorem opRingEquiv_op_monomial (n : ℕ) (r : R) :
     opRingEquiv R (op (monomial n r : R[X])) = monomial n (op r) := by
   simp only [op_ring_equiv, RingEquiv.trans_apply, RingEquiv.op_apply_apply,
-    RingEquiv.toAddEquiv_eq_coe, AddEquiv.mulOp_apply, [anonymous], AddEquiv.coe_trans,
+    RingEquiv.toAddEquiv_eq_coe, AddEquiv.mulOp_apply, AddEquiv.toFun_eq_coe, AddEquiv.coe_trans,
     op_add_equiv_apply, RingEquiv.coe_toAddEquiv, op_add_equiv_symm_apply, Function.comp_apply,
     unop_op, to_finsupp_iso_apply, to_finsupp_monomial, AddMonoidAlgebra.opRingEquiv_single,
     to_finsupp_iso_symm_apply, of_finsupp_single]

93287238

bump to nightly-2023-05-28-18

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

8d353152

Diff

@@ -20,7 +20,7 @@ This file contains the basic API for "pushing through" the isomorphism
 over a semiring and the polynomial ring over the opposite semiring. -/
 
 
-open Polynomial
+open scoped Polynomial
 
 open Polynomial MulOpposite

93287238

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -30,12 +30,6 @@ noncomputable section
 
 namespace Polynomial
 
-/- warning: polynomial.op_ring_equiv -> Polynomial.opRingEquiv is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) [_inst_2 : Semiring.{u1} R], RingEquiv.{u1, u1} (MulOpposite.{u1} (Polynomial.{u1} R _inst_2)) (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.semiring.{u1} R _inst_2)) (MulOpposite.hasMul.{u1} (Polynomial.{u1} R _inst_2) (Polynomial.mul'.{u1} R _inst_2)) (MulOpposite.hasAdd.{u1} (Polynomial.{u1} R _inst_2) (Polynomial.add'.{u1} R _inst_2)) (Polynomial.mul'.{u1} (MulOpposite.{u1} R) (MulOpposite.semiring.{u1} R _inst_2)) (Polynomial.add'.{u1} (MulOpposite.{u1} R) (MulOpposite.semiring.{u1} R _inst_2))
-but is expected to have type
-  forall (R : Type.{u1}) [_inst_2 : Semiring.{u1} R], RingEquiv.{u1, u1} (MulOpposite.{u1} (Polynomial.{u1} R _inst_2)) (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.semiring.{u1} R _inst_2)) (MulOpposite.mul.{u1} (Polynomial.{u1} R _inst_2) (Polynomial.mul'.{u1} R _inst_2)) (Polynomial.mul'.{u1} (MulOpposite.{u1} R) (MulOpposite.semiring.{u1} R _inst_2)) (MulOpposite.add.{u1} (Polynomial.{u1} R _inst_2) (Polynomial.add'.{u1} R _inst_2)) (Polynomial.add'.{u1} (MulOpposite.{u1} R) (MulOpposite.semiring.{u1} R _inst_2))
-Case conversion may be inaccurate. Consider using '#align polynomial.op_ring_equiv Polynomial.opRingEquivₓ'. -/
 /-- Ring isomorphism between `R[X]ᵐᵒᵖ` and `Rᵐᵒᵖ[X]` sending each coefficient of a polynomial
 to the corresponding element of the opposite ring. -/
 def opRingEquiv (R : Type _) [Semiring R] : R[X]ᵐᵒᵖ ≃+* Rᵐᵒᵖ[X] :=

93287238

bump to nightly-2023-03-24-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/b19481deb571022990f1baa9cbf9172e6757a479

5b87f9bb

Diff

@@ -34,7 +34,7 @@ namespace Polynomial
 lean 3 declaration is
   forall (R : Type.{u1}) [_inst_2 : Semiring.{u1} R], RingEquiv.{u1, u1} (MulOpposite.{u1} (Polynomial.{u1} R _inst_2)) (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.semiring.{u1} R _inst_2)) (MulOpposite.hasMul.{u1} (Polynomial.{u1} R _inst_2) (Polynomial.mul'.{u1} R _inst_2)) (MulOpposite.hasAdd.{u1} (Polynomial.{u1} R _inst_2) (Polynomial.add'.{u1} R _inst_2)) (Polynomial.mul'.{u1} (MulOpposite.{u1} R) (MulOpposite.semiring.{u1} R _inst_2)) (Polynomial.add'.{u1} (MulOpposite.{u1} R) (MulOpposite.semiring.{u1} R _inst_2))
 but is expected to have type
-  forall (R : Type.{u1}) [_inst_2 : Semiring.{u1} R], RingEquiv.{u1, u1} (MulOpposite.{u1} (Polynomial.{u1} R _inst_2)) (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_2)) (MulOpposite.instMulMulOpposite.{u1} (Polynomial.{u1} R _inst_2) (Polynomial.mul'.{u1} R _inst_2)) (Polynomial.mul'.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_2)) (MulOpposite.instAddMulOpposite.{u1} (Polynomial.{u1} R _inst_2) (Polynomial.add'.{u1} R _inst_2)) (Polynomial.add'.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_2))
+  forall (R : Type.{u1}) [_inst_2 : Semiring.{u1} R], RingEquiv.{u1, u1} (MulOpposite.{u1} (Polynomial.{u1} R _inst_2)) (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.semiring.{u1} R _inst_2)) (MulOpposite.mul.{u1} (Polynomial.{u1} R _inst_2) (Polynomial.mul'.{u1} R _inst_2)) (Polynomial.mul'.{u1} (MulOpposite.{u1} R) (MulOpposite.semiring.{u1} R _inst_2)) (MulOpposite.add.{u1} (Polynomial.{u1} R _inst_2) (Polynomial.add'.{u1} R _inst_2)) (Polynomial.add'.{u1} (MulOpposite.{u1} R) (MulOpposite.semiring.{u1} R _inst_2))
 Case conversion may be inaccurate. Consider using '#align polynomial.op_ring_equiv Polynomial.opRingEquivₓ'. -/
 /-- Ring isomorphism between `R[X]ᵐᵒᵖ` and `Rᵐᵒᵖ[X]` sending each coefficient of a polynomial
 to the corresponding element of the opposite ring. -/
@@ -46,12 +46,7 @@ def opRingEquiv (R : Type _) [Semiring R] : R[X]ᵐᵒᵖ ≃+* Rᵐᵒᵖ[X] :=
 `finsupp.single`: `monomial`, `C a`, `X`, `C a * X ^ n`. -/
 
 
-/- warning: polynomial.op_ring_equiv_op_monomial -> Polynomial.opRingEquiv_op_monomial is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] (n : Nat) (r : R), Eq.{succ u1} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.semiring.{u1} R _inst_1)) (coeFn.{succ u1, succ u1} (RingEquiv.{u1, u1} (MulOpposite.{u1} (Polynomial.{u1} R _inst_1)) (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.semiring.{u1} R _inst_1)) (MulOpposite.hasMul.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.mul'.{u1} R _inst_1)) (MulOpposite.hasAdd.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.add'.{u1} R _inst_1)) (Polynomial.mul'.{u1} (MulOpposite.{u1} R) (MulOpposite.semiring.{u1} R _inst_1)) (Polynomial.add'.{u1} (MulOpposite.{u1} R) (MulOpposite.semiring.{u1} R _inst_1))) (fun (_x : RingEquiv.{u1, u1} (MulOpposite.{u1} (Polynomial.{u1} R _inst_1)) (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.semiring.{u1} R _inst_1)) (MulOpposite.hasMul.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.mul'.{u1} R _inst_1)) (MulOpposite.hasAdd.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.add'.{u1} R _inst_1)) 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(Semiring.toNonAssocSemiring.{u1} R _inst_1)) R (Polynomial.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R _inst_1) (Polynomial.module.{u1, u1} R _inst_1 R _inst_1 (Semiring.toModule.{u1} R _inst_1))) (fun (_x : LinearMap.{u1, u1, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) R (Polynomial.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R _inst_1) (Polynomial.module.{u1, u1} R _inst_1 R _inst_1 (Semiring.toModule.{u1} R _inst_1))) => R -> (Polynomial.{u1} R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, u1} R R R (Polynomial.{u1} R _inst_1) _inst_1 _inst_1 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R _inst_1) (Polynomial.module.{u1, u1} R _inst_1 R _inst_1 (Semiring.toModule.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Polynomial.monomial.{u1} R _inst_1 n) r))) (coeFn.{succ u1, succ u1} (LinearMap.{u1, u1, u1, u1} (MulOpposite.{u1} R) (MulOpposite.{u1} R) (MulOpposite.semiring.{u1} R _inst_1) (MulOpposite.semiring.{u1} R _inst_1) (RingHom.id.{u1} (MulOpposite.{u1} R) (Semiring.toNonAssocSemiring.{u1} (MulOpposite.{u1} R) (MulOpposite.semiring.{u1} R _inst_1))) (MulOpposite.{u1} R) (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.semiring.{u1} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (MulOpposite.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MulOpposite.{u1} R) (Semiring.toNonAssocSemiring.{u1} (MulOpposite.{u1} R) (MulOpposite.semiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.semiring.{u1} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.semiring.{u1} R _inst_1)) 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R) (MulOpposite.semiring.{u1} R _inst_1))) (LinearMap.hasCoeToFun.{u1, u1, u1, u1} (MulOpposite.{u1} R) (MulOpposite.{u1} R) (MulOpposite.{u1} R) (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.semiring.{u1} R _inst_1)) (MulOpposite.semiring.{u1} R _inst_1) (MulOpposite.semiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (MulOpposite.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MulOpposite.{u1} R) (Semiring.toNonAssocSemiring.{u1} (MulOpposite.{u1} R) (MulOpposite.semiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.semiring.{u1} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.semiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.semiring.{u1} R _inst_1)) (Polynomial.semiring.{u1} (MulOpposite.{u1} R) (MulOpposite.semiring.{u1} R _inst_1))))) 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-Case conversion may be inaccurate. Consider using '#align polynomial.op_ring_equiv_op_monomial Polynomial.opRingEquiv_op_monomialₓ'. -/
+#print Polynomial.opRingEquiv_op_monomial /-
 -- for maintenance purposes: `by simp [op_ring_equiv]` proves this lemma
 @[simp]
 theorem opRingEquiv_op_monomial (n : ℕ) (r : R) :
@@ -62,39 +57,28 @@ theorem opRingEquiv_op_monomial (n : ℕ) (r : R) :
     unop_op, to_finsupp_iso_apply, to_finsupp_monomial, AddMonoidAlgebra.opRingEquiv_single,
     to_finsupp_iso_symm_apply, of_finsupp_single]
 #align polynomial.op_ring_equiv_op_monomial Polynomial.opRingEquiv_op_monomial
+-/
 
-/- warning: polynomial.op_ring_equiv_op_C -> Polynomial.opRingEquiv_op_C is a dubious translation:
-lean 3 declaration is
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+#print Polynomial.opRingEquiv_op_C /-
 @[simp]
 theorem opRingEquiv_op_C (a : R) : opRingEquiv R (op (C a)) = C (op a) :=
   opRingEquiv_op_monomial 0 a
 #align polynomial.op_ring_equiv_op_C Polynomial.opRingEquiv_op_C
+-/
 
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+#print Polynomial.opRingEquiv_op_X /-
 @[simp]
 theorem opRingEquiv_op_X : opRingEquiv R (op (X : R[X])) = X :=
   opRingEquiv_op_monomial 1 1
 #align polynomial.op_ring_equiv_op_X Polynomial.opRingEquiv_op_X
+-/
 
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R _inst_1) (Semiring.toMonoidWithZero.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))))) (Polynomial.X.{u1} R _inst_1) n)))) (HMul.hMul.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MulOpposite.{u1} R) => Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (MulOpposite.op.{u1} R r)) (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MulOpposite.{u1} (Polynomial.{u1} R _inst_1)) => Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (MulOpposite.op.{u1} (Polynomial.{u1} R _inst_1) (HMul.hMul.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Polynomial.{u1} R _inst_1) r) (Polynomial.{u1} R _inst_1) (Polynomial.{u1} R _inst_1) (instHMul.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Polynomial.{u1} R _inst_1) r) (Polynomial.mul'.{u1} R _inst_1)) 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(MulOpposite.{u1} R) (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Polynomial.semiring.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)))) (MulOpposite.{u1} R) (fun (_x : MulOpposite.{u1} R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MulOpposite.{u1} R) => Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (MulOpposite.{u1} R) (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Polynomial.semiring.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)))) (MulOpposite.{u1} R) (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (NonUnitalNonAssocSemiring.toMul.{u1} (MulOpposite.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MulOpposite.{u1} R) (Semiring.toNonAssocSemiring.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Polynomial.semiring.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MulOpposite.{u1} R) (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Polynomial.semiring.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)))) (MulOpposite.{u1} R) (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MulOpposite.{u1} R) (Semiring.toNonAssocSemiring.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} (MulOpposite.{u1} R) 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(MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) Nat (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (instHPow.{u1, 0} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) Nat (Monoid.Pow.{u1} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (MonoidWithZero.toMonoid.{u1} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Semiring.toMonoidWithZero.{u1} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Polynomial.semiring.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)))))) (Polynomial.X.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) n))
-Case conversion may be inaccurate. Consider using '#align polynomial.op_ring_equiv_op_C_mul_X_pow Polynomial.opRingEquiv_op_C_mul_X_powₓ'. -/
+#print Polynomial.opRingEquiv_op_C_mul_X_pow /-
 theorem opRingEquiv_op_C_mul_X_pow (r : R) (n : ℕ) :
     opRingEquiv R (op (C r * X ^ n : R[X])) = C (op r) * X ^ n := by
   simp only [X_pow_mul, op_mul, op_pow, map_mul, map_pow, op_ring_equiv_op_X, op_ring_equiv_op_C]
 #align polynomial.op_ring_equiv_op_C_mul_X_pow Polynomial.opRingEquiv_op_C_mul_X_pow
+-/
 
 /-!  Lemmas to get started, using `(op_ring_equiv R).symm` on the various expressions of
 `finsupp.single`: `monomial`, `C a`, `X`, `C a * X ^ n`. -/

93287238

bump to nightly-2023-03-19-03

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

b19efad4

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Damiano Testa
 
 ! This file was ported from Lean 3 source module ring_theory.polynomial.opposites
-! leanprover-community/mathlib commit 63417e01fbc711beaf25fa73b6edb395c0cfddd0
+! leanprover-community/mathlib commit 932872382355f00112641d305ba0619305dc8642
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -12,6 +12,9 @@ import Mathbin.Data.Polynomial.Degree.Definitions
 
 /-!  #  Interactions between `R[X]` and `Rᵐᵒᵖ[X]`
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This file contains the basic API for "pushing through" the isomorphism
 `op_ring_equiv : R[X]ᵐᵒᵖ ≃+* Rᵐᵒᵖ[X]`.  It allows going back and forth between a polynomial ring
 over a semiring and the polynomial ring over the opposite semiring. -/

63417e01

bump to nightly-2023-03-16-08

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

34413354

Diff

@@ -27,6 +27,12 @@ noncomputable section
 
 namespace Polynomial
 
+/- warning: polynomial.op_ring_equiv -> Polynomial.opRingEquiv is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) [_inst_2 : Semiring.{u1} R], RingEquiv.{u1, u1} (MulOpposite.{u1} (Polynomial.{u1} R _inst_2)) (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.semiring.{u1} R _inst_2)) (MulOpposite.hasMul.{u1} (Polynomial.{u1} R _inst_2) (Polynomial.mul'.{u1} R _inst_2)) (MulOpposite.hasAdd.{u1} (Polynomial.{u1} R _inst_2) (Polynomial.add'.{u1} R _inst_2)) (Polynomial.mul'.{u1} (MulOpposite.{u1} R) (MulOpposite.semiring.{u1} R _inst_2)) (Polynomial.add'.{u1} (MulOpposite.{u1} R) (MulOpposite.semiring.{u1} R _inst_2))
+but is expected to have type
+  forall (R : Type.{u1}) [_inst_2 : Semiring.{u1} R], RingEquiv.{u1, u1} (MulOpposite.{u1} (Polynomial.{u1} R _inst_2)) (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_2)) (MulOpposite.instMulMulOpposite.{u1} (Polynomial.{u1} R _inst_2) (Polynomial.mul'.{u1} R _inst_2)) (Polynomial.mul'.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_2)) (MulOpposite.instAddMulOpposite.{u1} (Polynomial.{u1} R _inst_2) (Polynomial.add'.{u1} R _inst_2)) (Polynomial.add'.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_2))
+Case conversion may be inaccurate. Consider using '#align polynomial.op_ring_equiv Polynomial.opRingEquivₓ'. -/
 /-- Ring isomorphism between `R[X]ᵐᵒᵖ` and `Rᵐᵒᵖ[X]` sending each coefficient of a polynomial
 to the corresponding element of the opposite ring. -/
 def opRingEquiv (R : Type _) [Semiring R] : R[X]ᵐᵒᵖ ≃+* Rᵐᵒᵖ[X] :=
@@ -37,6 +43,12 @@ def opRingEquiv (R : Type _) [Semiring R] : R[X]ᵐᵒᵖ ≃+* Rᵐᵒᵖ[X] :=
 `finsupp.single`: `monomial`, `C a`, `X`, `C a * X ^ n`. -/
 
 
+/- warning: polynomial.op_ring_equiv_op_monomial -> Polynomial.opRingEquiv_op_monomial is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align polynomial.op_ring_equiv_op_monomial Polynomial.opRingEquiv_op_monomialₓ'. -/
 -- for maintenance purposes: `by simp [op_ring_equiv]` proves this lemma
 @[simp]
 theorem opRingEquiv_op_monomial (n : ℕ) (r : R) :
@@ -48,49 +60,76 @@ theorem opRingEquiv_op_monomial (n : ℕ) (r : R) :
     to_finsupp_iso_symm_apply, of_finsupp_single]
 #align polynomial.op_ring_equiv_op_monomial Polynomial.opRingEquiv_op_monomial
 
+/- warning: polynomial.op_ring_equiv_op_C -> Polynomial.opRingEquiv_op_C is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align polynomial.op_ring_equiv_op_C Polynomial.opRingEquiv_op_Cₓ'. -/
 @[simp]
-theorem opRingEquiv_op_c (a : R) : opRingEquiv R (op (C a)) = C (op a) :=
+theorem opRingEquiv_op_C (a : R) : opRingEquiv R (op (C a)) = C (op a) :=
   opRingEquiv_op_monomial 0 a
-#align polynomial.op_ring_equiv_op_C Polynomial.opRingEquiv_op_c
-
+#align polynomial.op_ring_equiv_op_C Polynomial.opRingEquiv_op_C
+
+/- warning: polynomial.op_ring_equiv_op_X -> Polynomial.opRingEquiv_op_X is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align polynomial.op_ring_equiv_op_X Polynomial.opRingEquiv_op_Xₓ'. -/
 @[simp]
-theorem opRingEquiv_op_x : opRingEquiv R (op (X : R[X])) = X :=
+theorem opRingEquiv_op_X : opRingEquiv R (op (X : R[X])) = X :=
   opRingEquiv_op_monomial 1 1
-#align polynomial.op_ring_equiv_op_X Polynomial.opRingEquiv_op_x
-
-theorem opRingEquiv_op_c_mul_x_pow (r : R) (n : ℕ) :
+#align polynomial.op_ring_equiv_op_X Polynomial.opRingEquiv_op_X
+
+/- warning: polynomial.op_ring_equiv_op_C_mul_X_pow -> Polynomial.opRingEquiv_op_C_mul_X_pow is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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(RingHom.{u1, u1} R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))) R (Polynomial.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} (Polynomial.{u1} R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))) R (Polynomial.{u1} R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))) R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1)))))) (Polynomial.C.{u1} R _inst_1) r) (HPow.hPow.{u1, 0, u1} (Polynomial.{u1} R _inst_1) Nat (Polynomial.{u1} R _inst_1) (instHPow.{u1, 0} (Polynomial.{u1} R _inst_1) Nat (Monoid.Pow.{u1} (Polynomial.{u1} R _inst_1) (MonoidWithZero.toMonoid.{u1} (Polynomial.{u1} R _inst_1) (Semiring.toMonoidWithZero.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))))) (Polynomial.X.{u1} R _inst_1) n)))) (FunLike.coe.{succ u1, succ u1, succ u1} (RingEquiv.{u1, u1} (MulOpposite.{u1} (Polynomial.{u1} R _inst_1)) (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (MulOpposite.instMulMulOpposite.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.mul'.{u1} R _inst_1)) (Polynomial.mul'.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (MulOpposite.instAddMulOpposite.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.add'.{u1} R _inst_1)) (Polynomial.add'.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1))) (MulOpposite.{u1} (Polynomial.{u1} R _inst_1)) (fun (_x : MulOpposite.{u1} (Polynomial.{u1} R _inst_1)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 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(MulOpposite.instNonUnitalNonAssocSemiringMulOpposite.{u1} (Polynomial.{u1} R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Polynomial.semiring.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingEquiv.{u1, u1} (MulOpposite.{u1} (Polynomial.{u1} R _inst_1)) (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (MulOpposite.instMulMulOpposite.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.mul'.{u1} R _inst_1)) (Polynomial.mul'.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (MulOpposite.instAddMulOpposite.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.add'.{u1} R _inst_1)) (Polynomial.add'.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1))) (MulOpposite.{u1} (Polynomial.{u1} R _inst_1)) (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (MulOpposite.instNonUnitalNonAssocSemiringMulOpposite.{u1} (Polynomial.{u1} R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} 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_inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Polynomial.semiring.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)))) (RingEquiv.instRingEquivClassRingEquiv.{u1, u1} (MulOpposite.{u1} (Polynomial.{u1} R _inst_1)) (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (MulOpposite.instMulMulOpposite.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.mul'.{u1} R _inst_1)) (Polynomial.mul'.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (MulOpposite.instAddMulOpposite.{u1} (Polynomial.{u1} R 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(NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))) R (Polynomial.{u1} R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))) R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1)))))) (Polynomial.C.{u1} R _inst_1) r) (HPow.hPow.{u1, 0, u1} (Polynomial.{u1} R _inst_1) Nat (Polynomial.{u1} R _inst_1) (instHPow.{u1, 0} (Polynomial.{u1} R _inst_1) Nat (Monoid.Pow.{u1} (Polynomial.{u1} R _inst_1) (MonoidWithZero.toMonoid.{u1} (Polynomial.{u1} R _inst_1) (Semiring.toMonoidWithZero.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))))) (Polynomial.X.{u1} R _inst_1) n)))) (instHMul.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MulOpposite.{u1} R) => Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (MulOpposite.op.{u1} R r)) (Polynomial.mul'.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1))) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (MulOpposite.{u1} R) (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Polynomial.semiring.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)))) (MulOpposite.{u1} R) (fun (_x : MulOpposite.{u1} R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MulOpposite.{u1} R) => Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (MulOpposite.{u1} R) (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Polynomial.semiring.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)))) (MulOpposite.{u1} R) (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (NonUnitalNonAssocSemiring.toMul.{u1} (MulOpposite.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MulOpposite.{u1} R) (Semiring.toNonAssocSemiring.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Polynomial.semiring.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MulOpposite.{u1} R) (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Polynomial.semiring.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)))) (MulOpposite.{u1} R) (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MulOpposite.{u1} R) (Semiring.toNonAssocSemiring.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Polynomial.semiring.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MulOpposite.{u1} R) (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Polynomial.semiring.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)))) (MulOpposite.{u1} R) (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Polynomial.semiring.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1))) (RingHom.instRingHomClassRingHom.{u1, u1} (MulOpposite.{u1} R) (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Polynomial.semiring.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1))))))) (Polynomial.C.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (MulOpposite.op.{u1} R r)) (HPow.hPow.{u1, 0, u1} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) Nat (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (instHPow.{u1, 0} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) Nat (Monoid.Pow.{u1} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (MonoidWithZero.toMonoid.{u1} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Semiring.toMonoidWithZero.{u1} (Polynomial.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) (Polynomial.semiring.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)))))) (Polynomial.X.{u1} (MulOpposite.{u1} R) (MulOpposite.instSemiringMulOpposite.{u1} R _inst_1)) n))
+Case conversion may be inaccurate. Consider using '#align polynomial.op_ring_equiv_op_C_mul_X_pow Polynomial.opRingEquiv_op_C_mul_X_powₓ'. -/
+theorem opRingEquiv_op_C_mul_X_pow (r : R) (n : ℕ) :
     opRingEquiv R (op (C r * X ^ n : R[X])) = C (op r) * X ^ n := by
   simp only [X_pow_mul, op_mul, op_pow, map_mul, map_pow, op_ring_equiv_op_X, op_ring_equiv_op_C]
-#align polynomial.op_ring_equiv_op_C_mul_X_pow Polynomial.opRingEquiv_op_c_mul_x_pow
+#align polynomial.op_ring_equiv_op_C_mul_X_pow Polynomial.opRingEquiv_op_C_mul_X_pow
 
 /-!  Lemmas to get started, using `(op_ring_equiv R).symm` on the various expressions of
 `finsupp.single`: `monomial`, `C a`, `X`, `C a * X ^ n`. -/
 
 
+#print Polynomial.opRingEquiv_symm_monomial /-
 @[simp]
 theorem opRingEquiv_symm_monomial (n : ℕ) (r : Rᵐᵒᵖ) :
     (opRingEquiv R).symm (monomial n r) = op (monomial n (unop r)) :=
   (opRingEquiv R).Injective (by simp)
 #align polynomial.op_ring_equiv_symm_monomial Polynomial.opRingEquiv_symm_monomial
+-/
 
+#print Polynomial.opRingEquiv_symm_C /-
 @[simp]
-theorem opRingEquiv_symm_c (a : Rᵐᵒᵖ) : (opRingEquiv R).symm (C a) = op (C (unop a)) :=
+theorem opRingEquiv_symm_C (a : Rᵐᵒᵖ) : (opRingEquiv R).symm (C a) = op (C (unop a)) :=
   opRingEquiv_symm_monomial 0 a
-#align polynomial.op_ring_equiv_symm_C Polynomial.opRingEquiv_symm_c
+#align polynomial.op_ring_equiv_symm_C Polynomial.opRingEquiv_symm_C
+-/
 
+#print Polynomial.opRingEquiv_symm_X /-
 @[simp]
-theorem opRingEquiv_symm_x : (opRingEquiv R).symm (X : Rᵐᵒᵖ[X]) = op X :=
+theorem opRingEquiv_symm_X : (opRingEquiv R).symm (X : Rᵐᵒᵖ[X]) = op X :=
   opRingEquiv_symm_monomial 1 1
-#align polynomial.op_ring_equiv_symm_X Polynomial.opRingEquiv_symm_x
+#align polynomial.op_ring_equiv_symm_X Polynomial.opRingEquiv_symm_X
+-/
 
-theorem opRingEquiv_symm_c_mul_x_pow (r : Rᵐᵒᵖ) (n : ℕ) :
+#print Polynomial.opRingEquiv_symm_C_mul_X_pow /-
+theorem opRingEquiv_symm_C_mul_X_pow (r : Rᵐᵒᵖ) (n : ℕ) :
     (opRingEquiv R).symm (C r * X ^ n : Rᵐᵒᵖ[X]) = op (C (unop r) * X ^ n) := by
   rw [C_mul_X_pow_eq_monomial, op_ring_equiv_symm_monomial, ← C_mul_X_pow_eq_monomial]
-#align polynomial.op_ring_equiv_symm_C_mul_X_pow Polynomial.opRingEquiv_symm_c_mul_x_pow
+#align polynomial.op_ring_equiv_symm_C_mul_X_pow Polynomial.opRingEquiv_symm_C_mul_X_pow
+-/
 
 /-!  Lemmas about more global properties of polynomials and opposites. -/
 
 
+#print Polynomial.coeff_opRingEquiv /-
 @[simp]
 theorem coeff_opRingEquiv (p : R[X]ᵐᵒᵖ) (n : ℕ) :
     (opRingEquiv R p).coeff n = op ((unop p).coeff n) :=
@@ -99,7 +138,9 @@ theorem coeff_opRingEquiv (p : R[X]ᵐᵒᵖ) (n : ℕ) :
   cases p
   rfl
 #align polynomial.coeff_op_ring_equiv Polynomial.coeff_opRingEquiv
+-/
 
+#print Polynomial.support_opRingEquiv /-
 @[simp]
 theorem support_opRingEquiv (p : R[X]ᵐᵒᵖ) : (opRingEquiv R p).support = (unop p).support :=
   by
@@ -107,7 +148,9 @@ theorem support_opRingEquiv (p : R[X]ᵐᵒᵖ) : (opRingEquiv R p).support = (u
   cases p
   exact Finsupp.support_mapRange_of_injective _ _ op_injective
 #align polynomial.support_op_ring_equiv Polynomial.support_opRingEquiv
+-/
 
+#print Polynomial.natDegree_opRingEquiv /-
 @[simp]
 theorem natDegree_opRingEquiv (p : R[X]ᵐᵒᵖ) : (opRingEquiv R p).natDegree = (unop p).natDegree :=
   by
@@ -117,12 +160,15 @@ theorem natDegree_opRingEquiv (p : R[X]ᵐᵒᵖ) : (opRingEquiv R p).natDegree
     simp only [p0, nat_degree_eq_support_max', Ne.def, AddEquivClass.map_eq_zero_iff, not_false_iff,
       support_op_ring_equiv, unop_eq_zero_iff]
 #align polynomial.nat_degree_op_ring_equiv Polynomial.natDegree_opRingEquiv
+-/
 
+#print Polynomial.leadingCoeff_opRingEquiv /-
 @[simp]
 theorem leadingCoeff_opRingEquiv (p : R[X]ᵐᵒᵖ) :
     (opRingEquiv R p).leadingCoeff = op (unop p).leadingCoeff := by
   rw [leading_coeff, coeff_op_ring_equiv, nat_degree_op_ring_equiv, leading_coeff]
 #align polynomial.leading_coeff_op_ring_equiv Polynomial.leadingCoeff_opRingEquiv
+-/
 
 end Polynomial

63417e01

bump to nightly-2023-03-08-10

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

422cc012

Diff

@@ -49,17 +49,17 @@ theorem opRingEquiv_op_monomial (n : ℕ) (r : R) :
 #align polynomial.op_ring_equiv_op_monomial Polynomial.opRingEquiv_op_monomial
 
 @[simp]
-theorem opRingEquiv_op_c (a : R) : opRingEquiv R (op (c a)) = c (op a) :=
+theorem opRingEquiv_op_c (a : R) : opRingEquiv R (op (C a)) = C (op a) :=
   opRingEquiv_op_monomial 0 a
 #align polynomial.op_ring_equiv_op_C Polynomial.opRingEquiv_op_c
 
 @[simp]
-theorem opRingEquiv_op_x : opRingEquiv R (op (x : R[X])) = x :=
+theorem opRingEquiv_op_x : opRingEquiv R (op (X : R[X])) = X :=
   opRingEquiv_op_monomial 1 1
 #align polynomial.op_ring_equiv_op_X Polynomial.opRingEquiv_op_x
 
 theorem opRingEquiv_op_c_mul_x_pow (r : R) (n : ℕ) :
-    opRingEquiv R (op (c r * x ^ n : R[X])) = c (op r) * x ^ n := by
+    opRingEquiv R (op (C r * X ^ n : R[X])) = C (op r) * X ^ n := by
   simp only [X_pow_mul, op_mul, op_pow, map_mul, map_pow, op_ring_equiv_op_X, op_ring_equiv_op_C]
 #align polynomial.op_ring_equiv_op_C_mul_X_pow Polynomial.opRingEquiv_op_c_mul_x_pow
 
@@ -74,17 +74,17 @@ theorem opRingEquiv_symm_monomial (n : ℕ) (r : Rᵐᵒᵖ) :
 #align polynomial.op_ring_equiv_symm_monomial Polynomial.opRingEquiv_symm_monomial
 
 @[simp]
-theorem opRingEquiv_symm_c (a : Rᵐᵒᵖ) : (opRingEquiv R).symm (c a) = op (c (unop a)) :=
+theorem opRingEquiv_symm_c (a : Rᵐᵒᵖ) : (opRingEquiv R).symm (C a) = op (C (unop a)) :=
   opRingEquiv_symm_monomial 0 a
 #align polynomial.op_ring_equiv_symm_C Polynomial.opRingEquiv_symm_c
 
 @[simp]
-theorem opRingEquiv_symm_x : (opRingEquiv R).symm (x : Rᵐᵒᵖ[X]) = op x :=
+theorem opRingEquiv_symm_x : (opRingEquiv R).symm (X : Rᵐᵒᵖ[X]) = op X :=
   opRingEquiv_symm_monomial 1 1
 #align polynomial.op_ring_equiv_symm_X Polynomial.opRingEquiv_symm_x
 
 theorem opRingEquiv_symm_c_mul_x_pow (r : Rᵐᵒᵖ) (n : ℕ) :
-    (opRingEquiv R).symm (c r * x ^ n : Rᵐᵒᵖ[X]) = op (c (unop r) * x ^ n) := by
+    (opRingEquiv R).symm (C r * X ^ n : Rᵐᵒᵖ[X]) = op (C (unop r) * X ^ n) := by
   rw [C_mul_X_pow_eq_monomial, op_ring_equiv_symm_monomial, ← C_mul_X_pow_eq_monomial]
 #align polynomial.op_ring_equiv_symm_C_mul_X_pow Polynomial.opRingEquiv_symm_c_mul_x_pow

63417e01

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

63417e01

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) 2022 Damiano Testa. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Damiano Testa
 -/
-import Mathlib.Data.Polynomial.Degree.Definitions
+import Mathlib.Algebra.Polynomial.Degree.Definitions
 
 #align_import ring_theory.polynomial.opposites from "leanprover-community/mathlib"@"63417e01fbc711beaf25fa73b6edb395c0cfddd0"

63417e01

chore: avoid Ne.def (adaptation for nightly-2024-03-27) (#11813)

08686b25

Diff

@@ -110,7 +110,7 @@ theorem support_opRingEquiv (p : R[X]ᵐᵒᵖ) : (opRingEquiv R p).support = (u
 theorem natDegree_opRingEquiv (p : R[X]ᵐᵒᵖ) : (opRingEquiv R p).natDegree = (unop p).natDegree := by
   by_cases p0 : p = 0
   · simp only [p0, _root_.map_zero, natDegree_zero, unop_zero]
-  · simp only [p0, natDegree_eq_support_max', Ne.def, AddEquivClass.map_eq_zero_iff, not_false_iff,
+  · simp only [p0, natDegree_eq_support_max', Ne, AddEquivClass.map_eq_zero_iff, not_false_iff,
       support_opRingEquiv, unop_eq_zero_iff]
 #align polynomial.nat_degree_op_ring_equiv Polynomial.natDegree_opRingEquiv

63417e01

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

@@ -18,7 +18,7 @@ open Polynomial
 
 open Polynomial MulOpposite
 
-variable {R : Type _} [Semiring R]
+variable {R : Type*} [Semiring R]
 
 noncomputable section
 
@@ -26,7 +26,7 @@ namespace Polynomial
 
 /-- Ring isomorphism between `R[X]ᵐᵒᵖ` and `Rᵐᵒᵖ[X]` sending each coefficient of a polynomial
 to the corresponding element of the opposite ring. -/
-def opRingEquiv (R : Type _) [Semiring R] : R[X]ᵐᵒᵖ ≃+* Rᵐᵒᵖ[X] :=
+def opRingEquiv (R : Type*) [Semiring R] : R[X]ᵐᵒᵖ ≃+* Rᵐᵒᵖ[X] :=
   ((toFinsuppIso R).op.trans AddMonoidAlgebra.opRingEquiv).trans (toFinsuppIso _).symm
 #align polynomial.op_ring_equiv Polynomial.opRingEquiv

63417e01

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) 2022 Damiano Testa. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Damiano Testa
-
-! This file was ported from Lean 3 source module ring_theory.polynomial.opposites
-! leanprover-community/mathlib commit 63417e01fbc711beaf25fa73b6edb395c0cfddd0
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Data.Polynomial.Degree.Definitions
 
+#align_import ring_theory.polynomial.opposites from "leanprover-community/mathlib"@"63417e01fbc711beaf25fa73b6edb395c0cfddd0"
+
 /-!  #  Interactions between `R[X]` and `Rᵐᵒᵖ[X]`
 
 This file contains the basic API for "pushing through" the isomorphism

63417e01

refactor: make MulOpposite = AddOpposite (#4050)

It turns out to be convenient to have MulOpposite α = AddOpposite α true by definition, in the same way that it is convenient to have Additive α = α; this means that we also get the defeq AddOpposite (Additive α) = MulOpposite α, which is convenient when working with quotients. This is a compromise between making MulOpposite α = AddOpposite α = α (what we had in Lean 3) and having no defeqs within those three types (which we had as of #1036).

This is motivated by #3333

598588db

Diff

@@ -41,7 +41,7 @@ def opRingEquiv (R : Type _) [Semiring R] : R[X]ᵐᵒᵖ ≃+* Rᵐᵒᵖ[X] :=
 theorem opRingEquiv_op_monomial (n : ℕ) (r : R) :
     opRingEquiv R (op (monomial n r : R[X])) = monomial n (op r) := by
   simp only [opRingEquiv, RingEquiv.coe_trans, Function.comp_apply,
-    AddMonoidAlgebra.opRingEquiv_apply, RingEquiv.op_apply_apply_unop, toFinsuppIso_apply,
+    AddMonoidAlgebra.opRingEquiv_apply, RingEquiv.op_apply_apply, toFinsuppIso_apply, unop_op,
     toFinsupp_monomial, Finsupp.mapRange_single, toFinsuppIso_symm_apply, ofFinsupp_single]
 #align polynomial.op_ring_equiv_op_monomial Polynomial.opRingEquiv_op_monomial

63417e01

feat: port RingTheory.Polynomial.Opposites (#2868)

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

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`ring_theory.polynomial.opposites` ⟷ `Mathlib.RingTheory.Polynomial.Opposites`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 392

ring_theory.polynomial.opposites ⟷ Mathlib.RingTheory.Polynomial.Opposites

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 392

`ring_theory.polynomial.opposites` ⟷ `Mathlib.RingTheory.Polynomial.Opposites`