[Merged by Bors] - feat(Data/Seq): update and set operations for Seq

[vasnesterov]

Introduce update and set operations for sequences, along with a few lemmas about them.

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• depends on: [Merged by Bors] - refactor(Data/Seq): reorganize Seq.lean #20071

This PR continues the work from #20160.

Original PR: #20160

[vasnesterov]

Comments from Original PR #20160

This section contains 2 comment(s) from the original PR, excluding bot comments.

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@github-actions (2024-12-21 18:00 UTC):
messageFile.md

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@github-actions (2025-01-18 19:28 UTC):

PR summary 2d46e13f91

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference

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Declarations diff

+ modify
+ modify_cons_succ
+ modify_cons_zero
+ modify_nil
+ set
+ set_cons_succ
+ set_cons_zero
+ set_dropn_stable_of_lt
+ set_get_of_not_terminated
+ set_get_of_terminated
+ set_get_stable
+ set_nil

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.

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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).

[YaelDillies]

Don't forget to resolve the comments you addressed satisfactorily and to the PR title/description!

[vasnesterov]

Thank you! Done

[YaelDillies]

Feel free to use variable (...) in instead (although be careful with the resulting order of arguments)

[YaelDillies]

Thanks!

maintainer merge

[github-actions]

🚀 Pull request has been placed on the maintainer queue by YaelDillies.

[bryangingechen]

Thanks! The file is getting a bit long so we may want to think about splitting this file up into Seq/Defs + Seq/Basic or something like that, but that's for another PR.
bors r+

[mathlib-bors]

Pull request successfully merged into master.

Build succeeded:

• CI Success