[Merged by Bors] - chore(Analysis/Complex/Circle): nnnorm and enorm lemmas for circle

[mathlib-splicebot]

---

This PR was automatically created from PR #42953 by @teorth via a review comment by @themathqueen.

[github-actions]

PR summary e5269e2988

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference

---

Declarations diff (regex)

+ enorm_coe
+ enorm_smul
+ instance : IsIsometricSMul Circle E
+ nnnorm_coe
+ nnnorm_smul

You can run this locally as follows

## from your `mathlib4` directory:
git clone https://github.com/leanprover-community/mathlib-ci.git ../mathlib-ci

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

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

The doc-module for scripts/pr_summary/declarations_diff.sh in the mathlib-ci repository contains some details about this script.

Declarations diff (Lean)

✅ Lean-aware diff — post-build, computed from the Lean environment (commit e5269e2).

• +5 new declarations
• −0 removed declarations

+Circle.enorm_coe
+Circle.enorm_smul
+Circle.instIsIsometricSMul
+Circle.nnnorm_coe
+Circle.nnnorm_smul

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Decrease in strong tech debt: (relative, absolute) = (1.00, 0.00)

Current number	Change	Type (strong)
4926	-1	backward.isDefEq.respectTransparency

No changes to weak technical debt.

Current commit e5269e2988
Reference commit b63493a474

This script lives in the mathlib-ci repository. To run it locally, from your mathlib4 directory:

git clone https://github.com/leanprover-community/mathlib-ci.git ../mathlib-ci
../mathlib-ci/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).

[themathqueen]

maintainer merge

[github-actions]

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

[faenuccio]

Thanks

bors merge

[mathlib-bors]

Pull request successfully merged into master.

Build succeeded:

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