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[Merged by Bors] - feat: a RelHom preserves directedness#20080

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[Merged by Bors] - feat: a RelHom preserves directedness#20080
EtienneC30 wants to merge 5 commits intomasterfrom
em/relhomDirected

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If $a : \iota \to \alpha$ is directed with respect to $r$, and $f$ is a RelHom r s then $f \circ a$ is directed with respect to $s$. Add a DirectedOn version.


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@EtienneC30 EtienneC30 added the t-order Order theory label Dec 19, 2024
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github-actions bot commented Dec 19, 2024

PR summary 0b8175b0df

Import changes for modified files

Dependency changes

File Base Count Head Count Change
Mathlib.Order.RelIso.Set 338 339 +1 (+0.30%)
Import changes for all files
Files Import difference
Mathlib.Order.RelIso.Set Mathlib.Order.InitialSeg 1

Declarations diff

+ directed
+ directedOn

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.

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./scripts/technical-debt-metrics.sh pr_summary
  • The relative value is the weighted sum of the differences with weight given by the inverse of the current value of the statistic.
  • The absolute value is the relative value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).

@urkud urkud added the awaiting-author A reviewer has asked the author a question or requested changes. label Dec 29, 2024
@EtienneC30 EtienneC30 removed the awaiting-author A reviewer has asked the author a question or requested changes. label Dec 29, 2024
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@b-mehta b-mehta left a comment

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This looks to me like a strict improvement. Thank you!

bors merge

@ghost ghost added the ready-to-merge This PR has been sent to bors. label Jan 27, 2025
mathlib-bors bot pushed a commit that referenced this pull request Jan 27, 2025
If $a : \iota \to \alpha$ is directed with respect to $r$, and $f$ is a `RelHom r s` then $f \circ a$ is directed with respect to $s$. Add a `DirectedOn` version.
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mathlib-bors bot commented Jan 27, 2025

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat: a RelHom preserves directedness [Merged by Bors] - feat: a RelHom preserves directedness Jan 27, 2025
@mathlib-bors mathlib-bors bot closed this Jan 27, 2025
@mathlib-bors mathlib-bors bot deleted the em/relhomDirected branch January 27, 2025 15:35
Julian added a commit that referenced this pull request 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 this pull request 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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