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Show centered-square bundle usage in examples#24

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rm-sc-centered-square-bundle-example-usage
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Show centered-square bundle usage in examples#24
freezed-corpse-143 wants to merge 1 commit into
rm-natural-state-centered-square-bundlesfrom
rm-sc-centered-square-bundle-example-usage

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@freezed-corpse-143

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Summary

  • Add example usage for the exact-row centered-square assumption bundle route.
  • Surface the example through StatementRoutes, regular API checks, and docs.
  • Keep the wrapper boundary explicit: the bundle packages assumptions but does not prove the centered-square chain, Tropp/Lieb, trace-MGF, or Matrix Bernstein blockers.

Motivation

This is the next stacked RandomMatrix example slice after PR #23. It gives downstream users a concrete usage point for the centered-square assumption bundle without widening the theorem boundary.

Scope

  • Example/API/docs only for the centered-square bundle usage route.
  • No new Tropp/Lieb, Golden-Thompson, trace-MGF, full Matrix Bernstein, or unconditional concentration proof.

Stack

Testing

  • python .github/scripts/check_text_quality.py
  • python scripts/judge_policy_check.py
  • git diff --check
  • lake build HighDimProbJudge
  • lake test
  • lake build

Demonstrate the exact-row centered-square sample-covariance bundles through the reader-facing SampleCovarianceTailUsage route so downstream callers can use the bundled API without copying proof-facing hypotheses.\n\nConstraint: stacked on PR #23 because the core assumption bundles are not merged to main yet.\nRejected: duplicating the core bundles as example-local structures | the example should prove the public bundles are directly usable.\nConfidence: high\nScope-risk: narrow\nDirective: Keep these examples as thin routing layers; do not infer new centered-square, Tropp/Lieb, trace-MGF, Matrix Bernstein, or unconditional concentration proofs.\nTested: lake env lean HighDimProb/Examples/RandomMatrix/SampleCovarianceTailUsage.lean; lake build HighDimProb.Examples; lake env lean HighDimProbTest/ExamplesAPI.lean; python .github/scripts/check_text_quality.py; python scripts/judge_policy_check.py; git diff --check; lake build HighDimProbJudge; lake test; lake build\nNot-tested: GitHub CI on the stacked branch has not run yet.
@dududuguo

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Integrated into main via a6aa38d with docs cleanup.

@dududuguo dududuguo closed this Jun 21, 2026
@dududuguo dududuguo deleted the rm-sc-centered-square-bundle-example-usage branch June 21, 2026 04:04
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