feat(Analysis/CStarAlgebra): set of star projections equals the extreme points of the nonnegative closed unit ball

[themathqueen]

Co-authored-by: Jon Bannon 59937998+JonBannon@users.noreply.github.com
Co-authored-by: Jireh Loreaux loreaujy@gmail.com

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• depends on: feat(Analysis/CStarAlgebra/CFC/Order): conjugating with a star projection in a C*-algebra #35997

[github-actions]

PR summary 1dc478f792

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference
Mathlib.Analysis.CStarAlgebra.Extreme (new file)	2672

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Declarations diff

+ IsStarProjection.conjugate_of_nonneg_of_le
+ IsStarProjection.mul_right_eq_self_of_nonneg_of_le
+ isStarProjection_iff_mem_extremePoints_nonneg_and_mem_closedUnitBall

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.

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

Current number	Change	Type
10048	1	backward.isDefEq

Current commit 8c367be4b8
Reference commit 1dc478f792

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).

[mathlib-dependent-issues]

This PR/issue depends on:

• feat(Analysis/CStarAlgebra/CFC/Order): conjugating with a star projection in a C*-algebra #35997
  By Dependent Issues (🤖). Happy coding!