Discharge matrix log-to-exp hardbone bridge#21
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dududuguo merged 1 commit intoJun 19, 2026
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Constraint: RM-HB12-matrix-log-le-of-le-matrix-exp-bridge-leaf is a thin hardbone leaf over existing explicit log-monotonicity and matrix-exp log-domain premises. Rejected: Proving operator-log monotonicity or matrixExp strict positivity in this leaf | those remain separate analytic hardbone targets. Confidence: high Scope-risk: narrow Directive: Do not cite this bridge as discharging log-monotonicity, trace-exp monotonicity, Tropp/Lieb, Golden-Thompson, integrability, variance-proxy, or full Matrix Bernstein. Tested: RED lake env lean HighDimProbTest/RandomMatrixHardboneStatementsAPI.lean failed on missing matrixLog_le_of_le_matrixExp; 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 because no PR was requested.
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Summary
matrixLog_le_of_le_matrixExp, proving the existingmatrixLog_le_of_le_matrixExp_statementcontract by composing explicit log-monotonicity and matrix-exp log-domain premises.Motivation
This closes the thin RM-HB12 matrix log/order bridge leaf after the matrix-exp/log normalization leaf, while preserving the larger hardbone blockers as separate named assumptions.
Scope
#checkcoverage.Testing
lake 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 --check upstream/main...HEADlake build HighDimProbJudgelake build HighDimProb.Exampleslake testlake build