[Merged by Bors] - chore(Analysis/SpecificLimits): rename tsum_geometric_nnreal to NNReal.tsum_geometric

[KryptosAI]

Rename tsum_geometric_nnreal to NNReal.tsum_geometric for consistency with ENNReal.tsum_geometric.

A deprecated alias is added for backwards compatibility.

Addresses the tsum_geometric_nnreal → NNReal.tsum_geometric item in #21584.

---

AI disclosure

I used Claude Code to explore the codebase (finding references, checking naming conventions) and to draft the PR description. I reviewed and understand all changes — this is a straightforward rename with a deprecated alias.

[github-actions]

Welcome new contributor!

Thank you for contributing to Mathlib! If you haven't done so already, please review our contribution guidelines, as well as the style guide and naming conventions. In particular, we kindly remind contributors that we have guidelines regarding the use of AI when making pull requests.

We use a review queue to manage reviews. If your PR does not appear there, it is probably because it is not successfully building (i.e., it doesn't have a green checkmark), has the awaiting-author tag, or another reason described in the Lifecycle of a PR. The review dashboard has a dedicated webpage which shows whether your PR is on the review queue, and (if not), why.

If you haven't already done so, please come to https://leanprover.zulipchat.com/, introduce yourself, and mention your new PR.

Thank you again for joining our community.

[github-actions]

PR summary 0005884cdc

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference

---

Declarations diff

+ NNReal.tsum_geometric

You can run this locally as follows

## summary with just the declaration names:
./scripts/pr_summary/declarations_diff.sh <optional_commit>

## more verbose report:
./scripts/pr_summary/declarations_diff.sh long <optional_commit>

The doc-module for scripts/pr_summary/declarations_diff.sh contains some details about this script.

---

No changes to technical debt.

You can run this locally as

./scripts/reporting/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).

[j-loreaux]

I used Claude Code to explore the codebase (finding references, checking naming conventions) and to draft the PR description. I reviewed and understand all changes — this is a straightforward rename with a deprecated alias.

@KryptosAI You may be capable of understand the changes, but you obviously didn't bother to review the PR description, as it was complete nonsense. I have edited it appropriately, please see my edits.

Don't let your LLM generate garbage for reviewers to deal with. We have much more contributor bandwidth than we do review capacity, so any time reviewers waste on AI slop is a serious burden to this community. The problem is, you could have written the PR description in about 30 seconds, but now I've wasted several minutes checking it, finding out that it was wrong, going to the figure out what is the truth, and then editing it myself, and now writing this message in the hopes 🤞 that the message is received.

This is a warning, but if I find that this happens repeatedly with PRs from you I'll just close them.

[j-loreaux]

bors merge

[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.

Build succeeded:

• ci (staging) / Post-CI job
• ci (staging) / Build
• ci (staging) / Post-Build Step
• ci (staging) / Lint style