Expose centered-square provider blocker honestly#25
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Constraint: The generic centered-square variance-proxy chain still depends on PSD Loewner-to-operator-norm monotonicity.\nRejected: Proving norm monotonicity inside this leaf | requires a wider spectral/order bridge beyond current local API.\nConfidence: high\nScope-risk: narrow\nDirective: Do not treat the norm-mono statement as proved; it is an explicit blocker consumed by the new wrapper.\nTested: lake env lean HighDimProb/RandomMatrix/MatrixOrder.lean; lake env lean HighDimProb/RandomMatrix/HardboneStatements.lean; lake env lean HighDimProbTest/RandomMatrixHardboneStatementsAPI.lean; lake env lean HighDimProbTest/RandomMatrixVarianceProxyAPI.lean; lake env lean HighDimProbJudge/RandomMatrix/TraceExpUse.lean; lake env lean HighDimProbJudge/RandomMatrix/VarianceProxyUse.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 not run locally.
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Integrated into main via a6aa38d with docs cleanup. |
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Summary
matrixLE_sum, proving finite sums preserve the explicitMatrixLEorder.deterministicMatrixVarianceProxyNorm_mono_of_matrixLE_statementas the explicit Loewner-to-operator-norm monotonicity blocker.varianceProxyNormBound_of_centeredSquareChain_of_normMono, a centered-square provider wrapper that proves the finite-sum Loewner bookkeeping and consumes the norm-monotonicity blocker.Motivation
The generic centered-square provider chain can currently discharge finite-sum Loewner bookkeeping from per-row comparisons, but turning that Loewner comparison into a deterministic operator-norm variance-proxy bound needs a separate PSD/order-to-norm monotonicity theorem. This PR exposes that split honestly so later work can target the blocker directly.
Scope
MatrixLEbookkeeping.Stack
rm-sc-centered-square-bundle-example-usage(PR Show centered-square bundle usage in examples #24)rm-vp-centered-square-chain-providerTesting
python .github/scripts/check_text_quality.pypython scripts/judge_policy_check.pygit diff --checklake build HighDimProbJudgelake testlake build