[Merged by Bors] - feat(Data/ENat): more lemma about WithBot ENat

[Thmoas-Guan]

In this PR, we add some lemma about WithBot ENat found useful in dimension shifting.

Co-authored-by: Yimin Fu fakegreenall@foxmail.com

---

[github-actions]

PR summary 4ec5d95aa6

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference

---

Declarations diff

+ add_one_le_iff'
+ add_one_le_natCast_iff
+ add_one_le_zero_iff
+ coe_eq_natCast
+ lt_zero_iff_eq_bot

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).

[dagurtomas]

maintainer delegate

[github-actions]

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

[ocfnash]

Thanks!

bors d+

[mathlib-bors]

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

[Thmoas-Guan]

bors r+

[mathlib-bors]

Pull request successfully merged into master.

Build succeeded:

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