[Merged by Bors] - feat (RingTheory/Binomial) : Standard lemmas for Ring.choose

[ScottCarnahan]

This PR has basic identities satisfied by general binomial coefficients, together with corresponding lemmas about evaluating Pochhammer polynomials.

---

• depends on: [Merged by Bors] - feat (RingTheory/Binomial) : Multichoose lemmata #13428
• depends on: [Merged by Bors] - feat (RingTheory/Binomial) : Multichoose at negative arguments #13430

[github-actions]

PR summary c7da75cf94

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference

---

Declarations diff

+ choose_add_smul_choose
+ choose_eq_nat_choose
+ choose_one_right
+ choose_one_right'
+ choose_smul_choose
+ choose_succ_succ
+ choose_zero_ite
+ choose_zero_pos
+ choose_zero_right
+ choose_zero_right'
+ choose_zero_succ
+ descPochhammer_succ_succ_smeval

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>

[leanprover-community-mathlib4-bot]

This PR/issue depends on:

• [Merged by Bors] - feat (RingTheory/Binomial) : Multichoose lemmata #13428
• [Merged by Bors] - feat (RingTheory/Binomial) : Multichoose at negative arguments #13430
  By Dependent Issues (🤖). Happy coding!

[kim-em]

bors d+

[mathlib-bors]

✌️ ScottCarnahan can now approve this pull request. To approve and merge a pull request, simply reply with bors r+. More detailed instructions are available here.

[ScottCarnahan]

Thank you for the review!

bors r+

[mathlib-bors]

This PR was included in a batch that was canceled, it will be automatically retried

[mathlib-bors]

Pull request successfully merged into master.

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