chore: safe-subset golfing batch from #16 (fun_prop + named lemmas) (−62 lines)#30
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Mines safe-subset replacements from the PR #16 autoGolf draft and applies them to current main, skipping the suspicious subset (lia / bare assumption / Real.ext_cauchy / grind only on non-arithmetic goals). `fun_prop` adoptions (replace hand-built `Measurable.const_mul + Finset.measurable_sum + .comp` chains): - `DeFinetti/ViaKoopman/BlockAverage.lean` (1 site) - `DeFinetti/ViaL2/BlockAvgDef.lean` (1 site) - `DeFinetti/ViaL2/AlphaConvergence.lean` (2 sites) - `DeFinetti/ViaL2/CesaroConvergence.lean` (3 sites) - `DeFinetti/ViaL2/DirectingMeasureIntegral.lean` (4 sites, incl. one Integrable wrap via `fun_prop`) - `DeFinetti/ViaL2/MainConvergence.lean` (1 site) - `DeFinetti/ViaMartingale/PairLawEquality.lean` (1 site, `measurable_consRV` → fun_prop) - `Ergodic/ShiftInvariantRepresentatives.lean` (1 site, `measurable_coe_real_ereal.comp …` → fun_prop) - `Core.lean:683` — collapse `simpa using (show … from by fun_prop)` to bare `fun_prop`. Named-lemma replacements: - `DeFinetti/ViaL2/DirectingMeasureIntegral.lean` 2× hand-built `IsPiSystem` proof for `Set.range Iic` → `isPiSystem_Iic`. - `Contractability.lean:perm_range_eq` — 4-line `ext`+`use`+`simp` → `Finset.image_univ_equiv σ`. Minor `by exact` removals in `BlockAvgDef.lean`. Out of scope (per the audit, suspicious-category from #16): - `BlockAverage.lean:82` `congr 1; ring` → `lia` swap (opaque substitution on non-arithmetic context). - The proof-golfing-branch reversion of #18's `exists_perm_extending_strictMono` refactor. Net -62 lines across 10 files. Build clean (3527 jobs), axioms standard, 0 sorries. No statement or signature changes.
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Summary
Mines safe-subset replacements from the PR #16 autoGolf draft and applies them to current main, skipping the suspicious category (
lia/ bareassumption/Real.ext_cauchy/grind onlyon non-arithmetic goals).Net diff: 10 files, +22 / −84 (−62 lines).
What changed
fun_propadoption — replaces hand-builtMeasurable.const_mul + Finset.measurable_sum + .compchainsDeFinetti/ViaKoopman/BlockAverage.leanblockAvg_tendsto_condExpDeFinetti/ViaL2/BlockAvgDef.leanblockAvg_measurableDeFinetti/ViaL2/AlphaConvergence.leanhA_meas_nm, the AEStronglyMeasurable wrapDeFinetti/ViaL2/CesaroConvergence.leanh_meas_n,h_meas_n', thememLp_two_of_boundedmeasurability obligationDeFinetti/ViaL2/DirectingMeasureIntegral.leanhg_avg_meas/hA_meassites + oneIntegrablederivation (was 3 lines via.sub+.norm)DeFinetti/ViaL2/MainConvergence.leanhA_measDeFinetti/ViaMartingale/PairLawEquality.leanh_consSeq_meas(was asimpa [consSeq] using measurable_consRV …)Ergodic/ShiftInvariantRepresentatives.leanhstep(wasmeasurable_coe_real_ereal.comp hreal)Core.lean:683simpa using (show … from by fun_prop)to barefun_propNamed-lemma replacements
DeFinetti/ViaL2/DirectingMeasureIntegral.lean: 2 hand-built proofs thatSet.range Iicis a π-system (obtain ⟨s, rfl⟩; obtain ⟨t, rfl⟩; use min s t; exact Set.Iic_inter_Iic.symm) → one-callisPiSystem_Iicfrom mathlib.Contractability.lean:perm_range_eq— 4-lineext+simp only+use σ.symm x+simp→Finset.image_univ_equiv σ.Minor
BlockAvgDef.lean: two:= by exact …→:= …(style).Out of scope (deliberately not applied from #16)
BlockAverage.lean:82congr 1; ring→liaswap — opaque substitution on a non-arithmetic context; in the suspicious category per the audit.exists_perm_extending_strictMonorefactor (already superseded).Core.leanother minor non-fun_prop golfing (cylinder_subset_prefixCylinders:= by rfl,pathLaw_map_prefix_permby exactremoval) — low-yield style polish; left for a later pass.Verification
lake buildExchangeability)No statement or signature changes.