Expose Tropp conditional-step forwarder#20
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dududuguo merged 1 commit intoJun 19, 2026
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Constraint: RM-HB12 leaf scope requires a theorem-backed thin witness only, preserving missing history, independence, conditional-expectation, integrability, Tropp/Lieb, and Matrix Bernstein facts as explicit non-goals. Rejected: Proving history measurability or conditional expectation reduction in this leaf | those are separate hardbone blockers and not needed for the statement witness. Confidence: high Scope-risk: narrow Directive: Keep this theorem as a forwarder over explicit providers; do not cite it as proving conditioning facts themselves. Tested: RED API check failed on unknown troppConditionalStep_of_iIndepFun before implementation; lake build HighDimProb.RandomMatrix.HardboneStatements; lake env lean HighDimProbTest/RandomMatrixHardboneStatementsAPI.lean; lake env lean HighDimProbJudge/RandomMatrix/TraceExpUse.lean; lake env lean HighDimProb/Examples/RandomMatrix/HardboneStatementAtlasUsage.lean; python scripts/judge_policy_check.py; python .github/scripts/check_text_quality.py; git diff --check; lake build HighDimProbJudge; lake build HighDimProb.Examples; lake test; lake build Not-tested: GitHub CI and PR checks not run locally.
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Summary
troppConditionalStep_of_iIndepFun, a thin theorem witness fortroppConditionalStep_of_iIndepFun_statement.Motivation
This is the selected
RM-HB12-tropp-conditional-step-of-iindepfun-bridge-leaf: it removes one typed hardbone statement target by forwarding the explicit per-index conditional-expectation provider already present in the statement.Scope
troppConditionalStep_of_iIndepFun.Testing
lake env lean HighDimProbTest/RandomMatrixHardboneStatementsAPI.leanfailed on unknowntroppConditionalStep_of_iIndepFunlake build HighDimProb.RandomMatrix.HardboneStatementslake env lean HighDimProbTest/RandomMatrixHardboneStatementsAPI.leanlake env lean HighDimProbJudge/RandomMatrix/TraceExpUse.leanlake env lean HighDimProb/Examples/RandomMatrix/HardboneStatementAtlasUsage.leanpython scripts/judge_policy_check.pypython .github/scripts/check_text_quality.pygit diff --checklake build HighDimProbJudgelake build HighDimProb.Exampleslake testlake buildPR-prep checks
git fetch upstream main --prunegit rev-list --left-right --count upstream/main...HEAD=0 1git merge-base --is-ancestor HEAD upstream/main=not mergedgit merge-tree $(git merge-base upstream/main HEAD) upstream/main HEADshowed a clean synthetic merge[]