[Merged by Bors] - feat(Algebra/Polynomial): Polynomial.aeval for product algebras#21062
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[Merged by Bors] - feat(Algebra/Polynomial): Polynomial.aeval for product algebras#21062
Polynomial.aeval for product algebras#21062Conversation
PR summary 65133ef6af
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| File | Base Count | Head Count | Change |
|---|---|---|---|
| Mathlib.Algebra.Polynomial.AlgebraMap | 1005 | 1006 | +1 (+0.10%) |
Import changes for all files
| Files | Import difference |
|---|---|
34 filesMathlib.Algebra.Polynomial.AlgebraMap Mathlib.Algebra.Polynomial.Degree.CardPowDegree Mathlib.Algebra.Polynomial.FieldDivision Mathlib.Algebra.Polynomial.GroupRingAction Mathlib.Algebra.Polynomial.Laurent Mathlib.Algebra.Polynomial.Lifts Mathlib.Algebra.Polynomial.RingDivision Mathlib.Algebra.Polynomial.Roots Mathlib.Algebra.Polynomial.Smeval Mathlib.Algebra.Polynomial.SpecificDegree Mathlib.Algebra.Polynomial.SumIteratedDerivative Mathlib.Algebra.Polynomial.Taylor Mathlib.Algebra.Ring.Subring.IntPolynomial Mathlib.FieldTheory.IntermediateField.Adjoin.Defs Mathlib.FieldTheory.IntermediateField.Basic Mathlib.FieldTheory.RatFunc.Basic Mathlib.NumberTheory.Cyclotomic.CyclotomicCharacter Mathlib.NumberTheory.LucasPrimality Mathlib.RingTheory.Algebraic.Cardinality Mathlib.RingTheory.Algebraic.Defs Mathlib.RingTheory.Algebraic.Pi Mathlib.RingTheory.Binomial Mathlib.RingTheory.EisensteinCriterion Mathlib.RingTheory.Idempotents Mathlib.RingTheory.IntegralDomain Mathlib.RingTheory.Polynomial.Chebyshev Mathlib.RingTheory.Polynomial.Content Mathlib.RingTheory.Polynomial.IntegralNormalization Mathlib.RingTheory.Polynomial.ScaleRoots Mathlib.RingTheory.Polynomial.Tower Mathlib.RingTheory.RootsOfUnity.Basic Mathlib.RingTheory.RootsOfUnity.EnoughRootsOfUnity Mathlib.RingTheory.RootsOfUnity.PrimitiveRoots Mathlib.Topology.Algebra.IntermediateField |
1 |
Declarations diff
+ aeval_pi
+ aeval_pi_apply
+ aeval_pi_apply₂
+ aeval_prod
+ aeval_prod_apply
+ algHom_comp
+ algHom_evalAlgHom
You can run this locally as follows
## summary with just the declaration names:
./scripts/declarations_diff.sh <optional_commit>
## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>The doc-module for script/declarations_diff.sh contains some details about this script.
No changes to technical debt.
You can run this locally as
./scripts/technical-debt-metrics.sh pr_summary
- The
relativevalue is the weighted sum of the differences with weight given by the inverse of the current value of the statistic. - The
absolutevalue is therelativevalue divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).
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Author
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I'd love to do some renaming in |
alreadydone
approved these changes
Jan 26, 2025
alreadydone
approved these changes
Jan 27, 2025
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LGTM
maintainer merge
|
🚀 Pull request has been placed on the maintainer queue by alreadydone. |
mathlib-bors bot
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Jan 28, 2025
…1062) Results about evaluating polynomials on elements from (generalized) product algebras. Add necessary (and basic) facts for `Pi` algebras.
Contributor
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Pull request successfully merged into master. Build succeeded: |
Polynomial.aeval for product algebrasPolynomial.aeval for product algebras
Julian
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Jan 28, 2025
* origin/master: (294 commits) feat: equalizers and coequalizers in the category of ind-objects (#21139) doc: turn more links to Stacks into `@[stacks]` tags (#21135) feat(Asymptotics): prove `IsLittleOTVS.add` (#20578) feat(Algebra/Polynomial): `Polynomial.aeval` for product algebras (#21062) chore: import Std in Mathlib.lean (#21126) feat(Data/Matroid/Circuit): fundamental circuits and extensionality (#21145) feat(CategoryTheory/Endofunctor): prove the dual form of Lambek's Lemma on terminal coalgebra (#21140) feat(SetTheory/Game/PGame): rewrite left moves of `-x` as right moves of `x` under binders (#21109) feat(RingTheory/Localization/Pi): localization of a finite direct product is a product of localizations (#19042) doc: fixed notation error in customizing category composition (#21132) feat(Matrix): more lemmas for `PEquiv.toMatrix` (#21143) chore(SupIndep): speedup the `Decidable` instance (#21114) fix(CI): use `Elab.async=false` for late importers workflow (#21147) feat(Topology/Algebra/Indicator): indicator of a clopen is continuous (#20687) feat(Data/Matroid/Rank/Cardinal): Cardinality-valued rank function (#20921) feat(Algebra): `Pi.single_induction` (#21141) chore(BigOperators/Fin): golf a proof (#21131) feat: generalize tangent cone lemmas to TVS (#20859) feat(CategoryTheory): `Comma.snd L R` is final if `R` is final and domains are filtered (#21136) refactor: unapply matrix lemmas (#21091) chore(Algebra/Category): `erw` -> `rw` (#21130) feat(CategoryTheory): filteredness of Comma catgories given finality of one of the functors (#21128) feat(Algebra/Category): `ConcreteCategory` instance for `ModuleCat` (#21125) feat: PSum of finite sorts is finite (#20285) feat: inequality on the integral of a convex function of a RN derivative (#21093) feat: `(v +ᵥ s) -ᵥ (v +ᵥ t) = s -ᵥ t` (#21058) chore: rename the fact that `(∀ a < a₁, a ≤ a₂) ↔ a₁ ≤ a₂` in a dense order (#20317) feat: a `RelHom` preserves directedness (#20080) feat(Combinatorics/SimpleGraph): add definitions and theorems about the coloring of sum graphs (#18677) chore(Data/Matrix/PEquiv): clean up names (#21108) feat(Algebra/Category): `ConcreteCategory` instances for rings (#20815) feat: define Descriptive.Tree (#18763) chore(Data/Complex/Exponential): split trig functions to new file (#21075) feat(Logic/IsEmpty/Relator): empty on sides (#20319) feat(Algebra/Category): `ConcreteCategory` instance for `AlgebraCat` (#21121) feat(NumberTheory/LSeries): results involving partial sums of coefficients (part 1) (#20661) feat(RingTheory/LaurentSeries): add algebraEquiv (#21004) chore(SetTheory/Game/Impartial): golf two proofs (#21074) feat(CategoryTheory/Subpresheaf): preimage/image/range of subpresheaves (#21047) feat(RingTheory/IntegralClosure): `Algebra.IsIntegral` transfers via surjective homomorphisms (#21023) feat(`InformationTheory/Hamming`): Add AddGroup instances (#20994) feat(RingTheory/IntegralClosure): prove `Module.Finite R (adjoin R S)` for finite set `S` of integral elements (#20970) feat(RingTheory/Artinian): `IsUnit a` iff `a ∈ R⁰` for an artinian ring `R` (#21084) feat: separating set in the category of ind-objects (#21082) feat: derivWithin lemmas (#21092) chore(Fintype): golf a proof (#21113) chore: golf using `funext₂` (#21106) chore(Algebra/Group/Submonoid/Operations): move instances to new file (#21067) doc(Algebra/BigOperators/Fin): change 'product' to 'sum' in doc-string of additivised declarations (#21101) doc(ComputeDegree): typos (#21095) ...
Julian
added a commit
that referenced
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Feb 1, 2025
* polynomial-sequences: (308 commits) Use the lemma we already added. Minor reordering. This is true even for the trivial ring. Also add the lt versions and the other inj lemma. Also add the basis ne versions. This seems also like it should be simp. Back to sorry free. And the natDegree version. feat: equalizers and coequalizers in the category of ind-objects (#21139) doc: turn more links to Stacks into `@[stacks]` tags (#21135) feat(Asymptotics): prove `IsLittleOTVS.add` (#20578) feat(Algebra/Polynomial): `Polynomial.aeval` for product algebras (#21062) chore: import Std in Mathlib.lean (#21126) feat(Data/Matroid/Circuit): fundamental circuits and extensionality (#21145) feat(CategoryTheory/Endofunctor): prove the dual form of Lambek's Lemma on terminal coalgebra (#21140) feat(SetTheory/Game/PGame): rewrite left moves of `-x` as right moves of `x` under binders (#21109) feat(RingTheory/Localization/Pi): localization of a finite direct product is a product of localizations (#19042) doc: fixed notation error in customizing category composition (#21132) feat(Matrix): more lemmas for `PEquiv.toMatrix` (#21143) chore(SupIndep): speedup the `Decidable` instance (#21114) fix(CI): use `Elab.async=false` for late importers workflow (#21147) feat(Topology/Algebra/Indicator): indicator of a clopen is continuous (#20687) feat(Data/Matroid/Rank/Cardinal): Cardinality-valued rank function (#20921) feat(Algebra): `Pi.single_induction` (#21141) chore(BigOperators/Fin): golf a proof (#21131) feat: generalize tangent cone lemmas to TVS (#20859) feat(CategoryTheory): `Comma.snd L R` is final if `R` is final and domains are filtered (#21136) refactor: unapply matrix lemmas (#21091) chore(Algebra/Category): `erw` -> `rw` (#21130) feat(CategoryTheory): filteredness of Comma catgories given finality of one of the functors (#21128) feat(Algebra/Category): `ConcreteCategory` instance for `ModuleCat` (#21125) feat: PSum of finite sorts is finite (#20285) feat: inequality on the integral of a convex function of a RN derivative (#21093) feat: `(v +ᵥ s) -ᵥ (v +ᵥ t) = s -ᵥ t` (#21058) chore: rename the fact that `(∀ a < a₁, a ≤ a₂) ↔ a₁ ≤ a₂` in a dense order (#20317) feat: a `RelHom` preserves directedness (#20080) feat(Combinatorics/SimpleGraph): add definitions and theorems about the coloring of sum graphs (#18677) chore(Data/Matrix/PEquiv): clean up names (#21108) feat(Algebra/Category): `ConcreteCategory` instances for rings (#20815) feat: define Descriptive.Tree (#18763) chore(Data/Complex/Exponential): split trig functions to new file (#21075) feat(Logic/IsEmpty/Relator): empty on sides (#20319) feat(Algebra/Category): `ConcreteCategory` instance for `AlgebraCat` (#21121) feat(NumberTheory/LSeries): results involving partial sums of coefficients (part 1) (#20661) feat(RingTheory/LaurentSeries): add algebraEquiv (#21004) chore(SetTheory/Game/Impartial): golf two proofs (#21074) feat(CategoryTheory/Subpresheaf): preimage/image/range of subpresheaves (#21047) feat(RingTheory/IntegralClosure): `Algebra.IsIntegral` transfers via surjective homomorphisms (#21023) feat(`InformationTheory/Hamming`): Add AddGroup instances (#20994) feat(RingTheory/IntegralClosure): prove `Module.Finite R (adjoin R S)` for finite set `S` of integral elements (#20970) ...
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Results about evaluating polynomials on elements from (generalized) product algebras.
Add necessary (and basic) facts for
Pialgebras.