feat(Data/Finsupp/MonomialOrder/DegRevLex): homogeneous reverse lexicographic order

[AntoineChambert-Loir]

Definition of the homogeneous reverse lexicographic order

---

• depends on: [Merged by Bors] - feat(Data/Finsupp/MonomialOrder): monomial orders #19453
• depends on: [Merged by Bors] - feat(Data/Finsupp/MonomialOrder/DegLex): homogeneous lexicographic order #19455

[github-actions]

PR summary d0757f9881

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference
Mathlib.Data.Finsupp.MonomialOrder.DegRevLex (new file)	948

---

Declarations diff

+ DegRevLex.exists_iff
+ DegRevLex.forall_iff
+ DegRevLex.le_iff
+ DegRevLex.lt_def
+ DegRevLex.lt_iff
+ DegRevLex.lt_iff'
+ DegRevLex.monotone_degree
+ DegRevLex.partialOrder
+ DegRevLex.rec
+ DegRevLex.single_antitone
+ DegRevLex.single_lt_iff
+ DegRevLex.single_strictAnti
+ DegRevLex.wellFounded
+ DegRevLex.wellFoundedLT
+ MonomialOrder.degRevLex
+ MonomialOrder.degRevLex_le_iff
+ MonomialOrder.degRevLex_lt_iff
+ degRevLex_def
+ degRevLex_iff
+ instance : IsOrderedCancelAddMonoid (DegRevLex (α →₀ ℕ))
+ instance : LinearOrder (DegRevLex (α →₀ ℕ))
+ instance : OrderBot (DegRevLex (α →₀ ℕ))
+ instance [AddCommMonoid α] :
+ ofDegRevLex
+ ofDegRevLex_add
+ ofDegRevLex_inj
+ ofDegRevLex_injective
+ ofDegRevLex_symm_eq
+ ofDegRevLex_toDegRevLex
+ partialOrder
+ toDegRevLex
+ toDegRevLex_add
+ toDegRevLex_inj
+ toDegRevLex_injective
+ toDegRevLex_ofDegRevLex
+ toDegRevLex_symm_eq
++ DegRevLex

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 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).

[mathlib4-dependent-issues-bot]

This PR/issue depends on:

• [Merged by Bors] - feat(Data/Finsupp/MonomialOrder): monomial orders #19453
• [Merged by Bors] - feat(Data/Finsupp/MonomialOrder/DegLex): homogeneous lexicographic order #19455
  By Dependent Issues (🤖). Happy coding!

[mathlib4-merge-conflict-bot]

This pull request has conflicts, please merge master and resolve them.

[joneugster]

Mathlib has moved to PRs from forks. This PR is still from a branch of the main repository and will soon be closed! Please migrate the content to a fork and reopen a PR from there if you wish to do so. See Zulip topic for more instructions. Thank you for contributing to mathlib!

[mathlib-bors]

This pull request is now in draft mode. No active bors state needed cleanup.

While this PR remains draft, bors will ignore commands on this PR. Mark it ready for review before using commands like bors r+ or bors try.

[AntoineChambert-Loir]

This PR has been migrated to a fork-based workflow: #43970