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Import Besicovitch’s 0.6934 planar upper bound - #421

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@Vilin97 Vilin97 commented Sep 12, 2026 •

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Imports Yongxi Lin’s Besicovitch formalization into LeanPool.Besicovitch. The unconditional headline is sigmaOne_plane_le_barS : sigmaOne (EuclideanSpace ℝ (Fin 2)) ≤ 6934 / 10000, supported by the finite-configuration certificates and measure/rectifiability arguments. This does not settle the 1/2 conjecture.

The import contains 99 project modules and its entry module. Porting and maintenance repairs are complete: imports and finite instances follow the pinned APIs; resource-limit overrides are removed; modules have full names; unused interval-expression scaffolding is removed; and norm, packing and matrix-certificate proofs reuse shared implementations. The numerical certificates and headline statements are preserved. The complete acceptance review and latest matrix-consolidation review recommend approval subject to required CI.

Validation at the earlier repaired head 8e07d982 included a successful 3,261-job build, scoped quality and compiled trust checks over 100 files and 1,046 public declarations, plus project lint, style, generated-index and public-import/headline checks. The subsequent matrix consolidation received source review; no fresh local compilation is claimed for that review.

Current head 9dbd9e5a integrates only a generated README update from main; all 100 project source files, the registry and index remain unchanged. All three required checks have passed at this head: Lean CI, documentation preflight and content separation. The current CI run also passed compilation, challenge/solution builds, declaration lint, text style and repository quality checks. No checks or waivers were changed.

@Vilin97 Vilin97 added the automation Changes created by automated jobs label Sep 12, 2026
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Proof profile (new / modified Lean files)

lake build wall time (changed modules): 439.07 s (= 7.32 min) — user 1569.30 s, sys 43.65 s.

This build covers the changed modules and their dependency cones on top of the restored cache. The serial per-file sums below are useful for ranking slow files, not as a build budget.

Total heartbeats: 5,617 maxHeartbeats units across 97 files (27,913 added LOC).

Sum of lean --profile: 1375062.1 ms (= 1375.06 s). Import-excluded time: 1300891.1 ms (= 1300.89 s).

Count-heartbeats wall-clock total: 1213.32 s. Repeated import cost inside lean --profile: 74171.0 ms (= 74.17 s).

Heartbeat values come from Mathlib's linter.countHeartbeats and are already in maxHeartbeats units. Per-file wall clocks are measured under parallel load and are noisier than heartbeats.

LOC counts added lines in the profiled Lean files from this PR diff.

File LOC Heartbeats (maxHB) Count wall (s) lean --profile (s) Without import (s) Import (s) Decls Errors
LeanPool/Besicovitch/Rectifiability/Straight.lean 859 800 4.84 5.63 4.81 0.81 33 0
LeanPool/Besicovitch/SixPoint/GramCertificateData.lean 1,059 304 139.34 167.49 166.72 0.77 152 0
LeanPool/Besicovitch/Rectifiability/FiniteContinuum.lean 714 274 4.77 6.60 5.82 0.78 24 0
LeanPool/Besicovitch/SixPoint/Configuration.lean 77 270 2.38 1.11 0.34 0.77 9 0
LeanPool/Besicovitch/SixPoint/LensEndpointBalancedE0S0.lean 1,326 247 161.37 206.34 205.48 0.85 122 0
LeanPool/Besicovitch/Rectifiability/Basic.lean 102 204 2.40 1.20 0.44 0.76 8 0
LeanPool/Besicovitch/Statement.lean 76 168 4.11 1.28 0.52 0.76 7 0
LeanPool/Besicovitch/SixPoint/RootEdgeType12.lean 685 157 28.20 43.86 43.01 0.84 77 0
LeanPool/Besicovitch/SixPoint/GramCertificateCore.lean 578 154 21.36 15.74 14.91 0.83 74 0
LeanPool/Besicovitch/SixPoint/SiblingIncidenceLedger.lean 1,139 130 32.08 50.41 49.60 0.80 62 0
LeanPool/Besicovitch/SixPoint/EndpointWeights.lean 887 126 170.35 247.24 246.45 0.79 63 0
LeanPool/Besicovitch/SixPoint/SiblingIncidence.lean 941 124 11.78 17.69 16.89 0.80 62 0
LeanPool/Besicovitch/SixPoint/RootEdge.lean 1,268 121 19.76 29.07 28.27 0.80 59 0
LeanPool/Besicovitch/SixPoint/RowColumnRescue.lean 1,231 118 22.04 28.55 27.75 0.80 59 0
LeanPool/Besicovitch/Certificates/Krawczyk.lean 77 117 1.77 0.95 0.34 0.61 2 0
LeanPool/Besicovitch/SixPoint/SiblingTangent.lean 818 114 43.48 106.65 105.86 0.78 57 0
LeanPool/Besicovitch/Certificates/EndpointIsolation.lean 686 110 95.57 162.58 161.78 0.80 49 0
LeanPool/Besicovitch/Rectifiability/ContinuumSurgery.lean 1,351 102 5.45 8.07 7.31 0.77 48 0
LeanPool/Besicovitch/Sigma/Basic.lean 54 99 1.85 1.06 0.29 0.77 4 0
LeanPool/Besicovitch/SixPoint/WeightedReduction.lean 161 98 7.08 3.06 2.29 0.77 10 0
LeanPool/Besicovitch/Certificates/DensePolynomial.lean 343 92 3.53 3.21 2.49 0.72 46 0
LeanPool/Besicovitch/Rectifiability/HoleMerging.lean 585 92 5.75 5.67 4.89 0.78 46 0
LeanPool/Besicovitch/SixPoint/FiniteProperty.lean 521 89 4.95 2.56 1.79 0.77 30 0
LeanPool/Besicovitch/Rectifiability/Decomposition.lean 129 75 2.52 1.28 0.51 0.77 3 0
LeanPool/Besicovitch/Example/Graph.lean 361 62 5.99 4.63 4.01 0.62 31 0
LeanPool/Besicovitch/BPC/SixPointTransfer.lean 544 56 6.08 7.28 6.49 0.78 19 0
LeanPool/Besicovitch/SixPoint/AlgebraicBasic.lean 282 54 28.57 23.88 23.11 0.77 18 0
LeanPool/Besicovitch/SixPoint/SiblingLensS0S3.lean 455 54 19.13 23.96 23.14 0.83 27 0
LeanPool/Besicovitch/BPC/Basic.lean 130 52 2.30 1.40 0.63 0.77 11 0
LeanPool/Besicovitch/Measure/DensityBasic.lean 61 48 4.31 1.13 0.36 0.77 2 0
LeanPool/Besicovitch/Rectifiability/Continuum.lean 48 48 1.96 1.09 0.33 0.76 2 0
LeanPool/Besicovitch/Example/Zero.lean 425 44 6.65 5.54 4.73 0.81 22 0
LeanPool/Besicovitch/Certificates/EndpointBridge.lean 116 42 2.90 1.33 0.53 0.80 18 0
LeanPool/Besicovitch/SixPoint/BlueChildSwap.lean 232 41 2.46 1.54 0.76 0.78 19 0
LeanPool/Besicovitch/Certificates/RationalInterval.lean 256 38 3.44 1.85 1.42 0.44 19 0
LeanPool/Besicovitch/SixPoint/SiblingTriangle.lean 690 38 16.02 13.00 12.21 0.79 19 0
LeanPool/Besicovitch/SixPoint/Packing.lean 112 33 3.52 1.27 0.49 0.79 11 0
LeanPool/Besicovitch/SixPoint/RootEdgeFailureTree.lean 557 33 14.89 10.29 9.47 0.82 15 0
LeanPool/Besicovitch/Example/Plane.lean 130 32 4.28 2.06 1.29 0.77 16 0
LeanPool/Besicovitch/Example/Reduction.lean 262 32 4.97 2.74 1.94 0.80 16 0
LeanPool/Besicovitch/SixPoint/ChildSwapPacking.lean 188 32 2.58 1.34 0.54 0.79 16 0
LeanPool/Besicovitch/SixPoint/CanonicalTriangle.lean 98 27 3.22 1.78 1.00 0.78 9 0
LeanPool/Besicovitch/SixPoint/Score.lean 178 27 5.89 1.80 1.00 0.79 9 0
LeanPool/Besicovitch/Example/Hull.lean 148 26 3.58 1.75 0.97 0.77 13 0
LeanPool/Besicovitch/SixPoint/SiblingLensE1S0.lean 255 26 16.40 16.47 15.65 0.82 13 0
LeanPool/Besicovitch/Example/Avoid.lean 149 24 5.44 2.58 1.80 0.79 12 0
LeanPool/Besicovitch/Example/Recursion.lean 121 24 3.66 1.60 0.95 0.65 4 0
LeanPool/Besicovitch/Geometry/BallUnion.lean 101 24 3.49 1.17 0.55 0.62 8 0
LeanPool/Besicovitch/Geometry/ConvexEnlargement.lean 117 24 3.48 1.38 0.62 0.76 12 0
LeanPool/Besicovitch/SixPoint/RationalChord.lean 76 24 3.15 0.95 0.52 0.43 12 0
LeanPool/Besicovitch/SixPoint/EndpointGeometry.lean 109 22 2.36 1.29 0.54 0.76 11 0
LeanPool/Besicovitch/SixPoint/FourChildren.lean 475 22 38.02 21.10 20.33 0.77 11 0
LeanPool/Besicovitch/SixPoint/SiblingIncidenceClosed.lean 197 20 3.04 2.06 1.25 0.81 10 0
LeanPool/Besicovitch/SixPoint/SiblingLens.lean 235 20 33.98 21.43 20.64 0.79 10 0
LeanPool/Besicovitch/BPC/PackingMeasure.lean 202 18 2.15 1.54 0.74 0.80 9 0
LeanPool/Besicovitch/Rectifiability/ConvexAttachment.lean 115 18 2.74 1.64 0.86 0.78 9 0
LeanPool/Besicovitch/SixPoint/SiblingLensS0S0.lean 205 18 11.11 11.90 11.08 0.81 9 0
LeanPool/Besicovitch/SixPoint/WeightedFailure.lean 178 18 4.66 2.35 1.57 0.78 9 0
LeanPool/Besicovitch/Main/Bound.lean 70 17 3.29 1.17 0.36 0.81 4 0
LeanPool/Besicovitch/Certificates/RadicalInterval.lean 212 16 2.80 1.34 0.77 0.56 8 0
LeanPool/Besicovitch/Measure/CompactExhaustion.lean 134 16 3.21 1.04 0.43 0.61 2 0
LeanPool/Besicovitch/SixPoint/Realization.lean 96 15 3.77 1.19 0.41 0.77 5 0
LeanPool/Besicovitch/SixPoint/Scaling.lean 131 15 6.79 1.90 1.10 0.80 5 0
LeanPool/Besicovitch/Example/LowerBound.lean 109 14 3.98 1.45 0.58 0.87 7 0
LeanPool/Besicovitch/Measure/UniformDensityCompact.lean 252 14 4.13 2.45 1.69 0.76 7 0
LeanPool/Besicovitch/Rectifiability/BadConvexSets.lean 117 14 2.50 1.35 0.57 0.78 7 0
LeanPool/Besicovitch/SixPoint/GramCertificateCover.lean 216 12 14.80 7.30 6.52 0.78 6 0
LeanPool/Besicovitch/Rectifiability/DensityPoint.lean 175 11 2.84 1.89 1.09 0.80 4 0
LeanPool/Besicovitch/Topology/ConnectedComponent.lean 128 11 2.35 0.91 0.40 0.51 4 0
LeanPool/Besicovitch/Example/Cover.lean 116 10 3.99 1.61 0.83 0.78 5 0
LeanPool/Besicovitch/Example/LowerDensity.lean 167 10 5.13 2.96 2.18 0.78 5 0
LeanPool/Besicovitch/Measure/UniformDensity.lean 100 10 4.20 1.74 0.96 0.78 5 0
LeanPool/Besicovitch/SixPoint/FailureTree.lean 173 10 3.74 1.75 0.98 0.77 5 0
LeanPool/Besicovitch/Rectifiability/BadConvexLocalization.lean 143 8 2.99 1.57 0.80 0.78 4 0
LeanPool/Besicovitch/SixPoint/EndpointPacking.lean 91 8 2.54 1.14 0.35 0.78 4 0
LeanPool/Besicovitch/SixPoint/Normalization.lean 80 8 4.31 1.31 0.53 0.78 4 0
LeanPool/Besicovitch/BPC/Extraction.lean 62 7 2.02 1.10 0.32 0.78 2 0
LeanPool/Besicovitch/BPC/Defs.lean 48 6 1.79 1.04 0.26 0.78 3 0
LeanPool/Besicovitch/BPC/RootBalls.lean 68 6 2.01 1.15 0.38 0.77 3 0
LeanPool/Besicovitch/Example/Density.lean 125 6 4.57 1.81 1.01 0.80 3 0
LeanPool/Besicovitch/Example/Measurable.lean 45 6 3.11 0.88 0.24 0.64 3 0
LeanPool/Besicovitch/Rectifiability/BadConvexPacking.lean 115 6 2.65 1.25 0.51 0.74 3 0
LeanPool/Besicovitch/Rectifiability/BadConvexThickening.lean 95 6 2.68 1.29 0.51 0.78 3 0
LeanPool/Besicovitch/SixPoint/GramWeightedBound.lean 72 6 3.25 1.27 0.46 0.81 3 0
LeanPool/Besicovitch/SixPoint/RootEdgeClosed.lean 97 6 6.23 1.37 0.56 0.82 3 0
LeanPool/Besicovitch/BPC/Rectifiability.lean 224 5 3.05 1.94 1.13 0.81 1 0
LeanPool/Besicovitch/Main/RationalBound.lean 40 4 3.05 1.05 0.24 0.81 2 0
LeanPool/Besicovitch/Measure/DensityLocalization.lean 188 4 5.02 2.00 1.21 0.79 2 0
LeanPool/Besicovitch/Rectifiability/CompactAttachmentUnion.lean 113 4 2.59 1.18 0.42 0.76 2 0
LeanPool/Besicovitch/Rectifiability/ComponentDiameter.lean 193 4 3.51 1.85 1.09 0.77 2 0
LeanPool/Besicovitch/SixPoint/EndpointFailureClosed.lean 75 4 2.29 1.04 0.26 0.78 2 0
LeanPool/Besicovitch/SixPoint/SiblingFailureTree.lean 63 4 3.14 1.09 0.29 0.80 2 0
LeanPool/Besicovitch/BPC/Parameters.lean 39 2 1.27 0.63 0.22 0.41 1 0
LeanPool/Besicovitch/Rectifiability/AttachmentLocalization.lean 49 2 2.88 1.01 0.25 0.76 1 0
LeanPool/Besicovitch/Rectifiability/Selection.lean 53 2 2.43 1.14 0.35 0.79 1 0
LeanPool/Besicovitch/Rectifiability/StraightReduction.lean 68 2 2.55 1.13 0.34 0.79 1 0
LeanPool/Besicovitch.lean 96 0 2.72 1.40 0.20 1.20 0 0
Total 27,913 5,617 1213.32 1375.06 1300.89 74.17 1691 0

Aggregate phase totals

Phase Time
interpretation 612898.0 ms (= 612.90 s)
norm_num 216690.3 ms (= 216.69 s)
typeclass inference 202790.2 ms (= 202.79 s)
import 74171.0 ms (= 74.17 s)
simp 68345.9 ms (= 68.35 s)
type checking 57445.3 ms (= 57.45 s)
blocked (unaccounted) 37668.0 ms (= 37.67 s)
tactic execution 31053.1 ms (= 31.05 s)
share common exprs 16534.5 ms (= 16.53 s)
elaboration 13896.7 ms (= 13.90 s)
ring 13785.4 ms (= 13.79 s)
process pre-definitions 8584.1 ms (= 8.58 s)

Slowest changed modules (from lake build)

Changed module Lake time
LeanPool.Besicovitch.SixPoint.EndpointWeights 161.00 s
LeanPool.Besicovitch.Certificates.EndpointIsolation 123.00 s
LeanPool.Besicovitch.SixPoint.SiblingTangent 89.00 s
LeanPool.Besicovitch.SixPoint.GramCertificateData 77.00 s
LeanPool.Besicovitch.SixPoint.LensEndpointBalancedE0S0 74.00 s
LeanPool.Besicovitch.SixPoint.FourChildren 44.00 s
LeanPool.Besicovitch.SixPoint.RootEdgeType12 37.00 s
LeanPool.Besicovitch.SixPoint.RowColumnRescue 35.00 s
LeanPool.Besicovitch.SixPoint.AlgebraicBasic 33.00 s
LeanPool.Besicovitch.SixPoint.SiblingIncidenceLedger 31.00 s
LeanPool.Besicovitch.SixPoint.SiblingLensS0S3 31.00 s
LeanPool.Besicovitch.SixPoint.GramCertificateCover 29.00 s

Comment truncated to fit GitHub's 64 KB limit. This PR profiles 97 files; the per-file table shows only the 97 hottest by heartbeats. The full table and raw lean --profile output for every file are in the run's step summary and proof-profile artifact.

Advisory only — never blocks merge.

@Vilin97 Vilin97 added the needs-maintainer Requires a maintainer decision; automation must not merge label Sep 14, 2026 — with ChatGPT Codex Connector

Vilin97 commented Sep 14, 2026

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Automation disposition: needs-maintainer

Reviewed exact current head 069a88cfa68c50a0f65c5c7ff2b19f631aac7740. This remains a draft import of the Besicovitch 0.6934 formalization: a restricted finite-certificate bound with substantial geometric-measure scaffolding. It is explicitly not a complete solution of a broader open problem, and draft status means the intended final scope and significance still require maintainer/author decision. The branch refresh has Build pool and documentation checks pending; no merge action is appropriate while draft.

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Vilin97 commented Sep 15, 2026

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Automation disposition: needs-maintainer (draft remains blocked)

Reviewed exact head 069a88cfa68c50a0f65c5c7ff2b19f631aac7740. The imported development compiles (3,205 jobs), but the required warning scan fails: the exact build emits 170 warnings across 32 Besicovitch files, including deprecated APIs, flexible simp, haveI/letI style diagnostics, and repeated long-line warnings. The registry card also records unresolved final-scope metadata (status: draft and Besicovitch.* declaration names that do not match the actual LeanPool.Besicovitch declarations). This is a 28k-line draft import; warning cleanup, card correction, and the decision whether this restricted bound is the intended finished project remain author/maintainer work. No push was attempted.

@Vilin97 Vilin97 removed the needs-maintainer Requires a maintainer decision; automation must not merge label Sep 16, 2026
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Vilin97 commented Sep 16, 2026 •

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Changes requested by automated review

Reviewed 67950869cc4ee46113072b3eeafef4a0ef6dac4a after the automatic main refresh; the Besicovitch source and parsed registry entry are unchanged. This supersedes the earlier needs-maintainer disposition for the concrete blockers:

  1. The last content-identical protected build failed its warning gate with 170 warnings across 32 imported files. Repair the deprecated APIs, flexible simp/typeclass-style warnings and line-length failures, then obtain warning-free exact-head full CI.
  2. LeanPool/projects.yml uses invalid project status draft and Besicovitch.* headline names, while the declarations are actually in LeanPool.Besicovitch. Correct the registry/card and demonstrate declaration resolution and complete quality/trust checks.

Scope clarification: Main/RationalBound.lean:sigmaOne_plane_le_barS proves the unconditional rational upper bound 6934/10000; its finite geometric condition is discharged by the Gram certificate chain. This is independently significant progress improving the published 0.7 bound, supported by the upstream bound paper, but it does not solve the 1/2 conjecture. The accurately limited bound is not itself a rejection reason. Draft status does not turn these author-actionable failures into a maintainer-only decision.

2026-09-17 exact-head reconciliation: Reviewed 4b15bc04676388d935817aef530d168195c6d951. The complete old-to-new diff contains only the six polynomial restricted-sum files already reviewed and merged in #441 plus generated README statistics/NOTICE attribution from main; every refreshed file matches main at 7027ddb4a01421f61ac44811e6ca55a0bf020e4e. The submitted project/proofs, parsed metadata, and relevant tooling are unchanged. The substantive findings and changes requested disposition above therefore persist at this SHA. New protected CI is pending; previous-head successes are not current-head approval. The unchanged Besicovitch files still require the warning and metadata fixes; the unconditional 0.6934 bound is independently significant but does not solve the 1/2 conjecture.

Changes requested by automated review — independently reviewed e7a3e62c38f22353d39da5dec6432d901f52f02c.

The unconditional 0.6934 upper bound is independently significant progress on Besicovitch's 1/2-problem. sigmaOne_plane_le_barS has no Gram-certificate premise: weightedGeometricBound_gram and six-point transfer discharge it. Primary upstream supports this improved bound; Apache-2.0 and AI provenance verified. No matching pool entry. Registry still uses status draft and nonexistent Besicovitch.* names instead of actual LeanPool.Besicovitch declarations.

Repair deprecated Basic/if_pos/if_neg and other warning failures, correct status to verified and registered declaration names/card, then obtain complete exact-head warning-free quality/trust CI. These are concrete author actions; draft is not the blocker. Existing change-request comment updated in place.

Advisory project build 439.07 s; serial profile 1,375.06 s, dominated by certificates and endpoint geometry. This run’s build at 3493526 logged 166 Lean-warning entries across 32 files and failed the zero-warning gate. The final main refresh changes no Besicovitch files; its new CI is pending.

Final-head reconciliation: the main refresh contains the already-reviewed Komlós import/Burkholder refactor and generated metadata. This PR’s own proof/tooling files are unchanged by that refresh. Fresh checks on refreshed heads remain the required gate; earlier successful runs are historical evidence, not an approval of pending CI. Repository auto-merge remains disabled. The linked disposition is the final action; no protection or workflow setting was changed.

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Vilin97 commented Sep 23, 2026

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Changes requested by automated review\n\nReviewed exact current head d275eb4d877c4da97c8809d5c1340792dd2dc212. The branch is merge-conflicted (DIRTY) against current main, so protected merge cannot proceed. Reconcile the branch, rerun the complete required checks, and obtain a fresh exact-head review. The earlier Besicovitch warning/metadata repairs remain part of the acceptance condition; the 6934/10000 bound is independently significant progress but does not solve the 1/2 conjecture.

@Vilin97 Vilin97 removed the needs-maintainer Requires a maintainer decision; automation must not merge label Sep 23, 2026
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Changes requested by automated review

Reviewed exact current head d275eb4d877c4da97c8809d5c1340792dd2dc212. The earlier merge-conflict report is stale: GitHub now reports the branch BEHIND current main, with required checks still pending. The Besicovitch project remains a bounded upper result (0.6934), not a solution of the full 1/2 conjecture. The current Greptile review also identifies duplicated certificate/color/interval infrastructure and abbreviated public module names. Update the branch and card against current main, address those concrete maintenance and wording findings, then obtain green protected CI and a fresh exact-head review.

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Changes requested by automated review

Reviewed head a9d3734040236f28f0c2be4154a2971058c3315e. Significant independent 0.6934 upper bound; does not solve the 1/2 conjecture.

  1. Complete the pinned-toolchain integration. The exact-head build fails. Its concrete error includes:

    error: LeanPool.lean:1:0: cannot import non-`module` LeanPool.Besicovitch from `module`
    

    The file/dependency audit finds 1 changed Lean files without the required module form. Repair the affected dependency closure, regenerate the module index, and obtain a warning-free full pool build plus the unchanged linter, quality and axiom gates. A project-only or previous-head build does not resolve this failure.

Review coverage: complete changed-file inventory and full diff retained; 100 changed project files, 27,149 lines, import reachability and executable trust-token scan; advertised endpoints and supporting definitions examined with bounded implementation sampling and existing review findings reconciled. Potential reusable value: Quantitative geometric certificate and disk-covering estimates. Source/provenance and prior-art evidence were considered separately from CI; these findings do not assert that every proof line was manually read. Earlier automated scores are advisory and are not approval of this failing head.

@Vilin97 Vilin97 added the needs-manual-rebase Maintainer-managed rebase; automatic updater leaves this branch unchanged label Sep 25, 2026

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Reviewed current head 8e07d9829ffed437e678bd35bfb40b240a7fd94d. Recommendation: approve, subject to fresh required CI.

The headline is the unconditional bound sigmaOne_plane_le_barS : sigmaOne (EuclideanSpace ℝ (Fin 2)) ≤ 6934 / 10000. The finite-configuration certificate and measure/rectifiability arguments are supplied within the development. This is a substantial quantitative result; it does not claim to settle the 1/2 conjecture.

The concrete maintenance findings are repaired: BPC/Defs modules now have full names; the unused duplicate RationalExpression syntax/evaluator/enclosure proof is removed while the rational interval primitives and richer radical certificates remain; RootEdge reuses the three existing norm/endpoint estimates. All headline statements are unchanged. The latest main merge preserves every current main registry card and adds only this project's card.

Validation: the repaired project build completed successfully (3,261 build jobs); the scoped quality and compiled trust audit checked 100 files and 1,046 public declarations without errors. After recovery, the project-only linter, style checker, generated-index check, and downstream public-import/headline check all passed under a 20 GiB aggregate memory cap and timeout. The umbrella transitively imports all 99 project modules, so its scoped linter covers the complete project import closure. Full-pool CI is pending on this pushed head; no check or waiver was changed.

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Reviewed current integration head 4f34a72a527b903e0dd1197a25fa6100ddf5e70c. The project's Lean source is byte-identical to the previously reviewed 8e07d9829ffed437e678bd35bfb40b240a7fd94d; the existing mathematical assessment and fixes carry forward. The merge retains all 218 current-main project cards and this project's complete card, including their original text. The actual pinned mk_all --module --check command passes.

Recommendation: accept once fresh required CI passes. This review covers the lossless main integration; it does not claim another full local rebuild.

@Vilin97 Vilin97 removed the needs-manual-rebase Maintainer-managed rebase; automatic updater leaves this branch unchanged label Sep 26, 2026
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/review

Please reassess exact head e793019c9a00d639731511420a62e888a1c59b84 after this substantive maintenance repair. Shared the ten-term five-pair semidefinite completion and positivity proof across the three explicit certificates; all geometric endpoints and certificate data are unchanged. All project modules compiled warning-free locally; the project declaration linters, style check, and source-scoped current-policy quality/axiom audit passed. Required CI remains the final integration gate. Please independently assess residual code quality against the 4/5 target.

@Vilin97 Vilin97 added the needs-maintainer Requires a maintainer decision; automation must not merge label Sep 26, 2026
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Daily disposition: needs maintainer — protected merge operation

Reviewed exact head 3b7a395363500a6f9ff2d0f2aa48aca874110e31. The 0.6934 bound is independently significant; it does not solve Besicovitch’s 1/2 conjecture. Shared semidefinite certificate completion now replaces the three duplicate constructions. The complete project compiled warning-free locally, with declaration linters, style, index and the unmodified source-scoped quality/axiom/option audit passing.

Build project: pending/not yet reported, Content / non-content separation: SUCCESS, Documentation preflight: SUCCESS. These are observed check states, not an assertion that unfinished checks passed.

The remaining authority boundary is operational: this repository has allow_auto_merge=false, and GitHub rejected enablePullRequestAutoMerge with “Auto merge is not allowed for this repository.” The maintainer must make protected queuing available through an authorized repository-setting decision, or remove this label and perform a normal squash merge after the required checks and current-base integration pass. This cycle does not change repository settings or bypass protection. No unresolved substantive author-actionable finding justifies another change request or closure; the label is not for draft status, missing profiling, or an old advisory score.

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{
"reviewed_head": "3b7a395363500a6f9ff2d0f2aa48aca874110e31",
"review_type": "focused incoming-source follow-up",
"verdict": "approve",
"assessment": "Read all four changed files and the shared positive-semidefinite completion proof. Substituting each of the three old bases and residual functions into fivePairCompletion reproduces exactly its old matrix expression, including all ten pairs, their order, and the two distinct diagonal regularizers (1/1000000 and 1/10000000). The shared theorem uses the same ten positive-semidefinite additions. Existing certificate entries, off-diagonal/diagonal conclusions, numerical bounds, and headline theorem statements are unchanged.",
"scope": "Complete own-project delta from c32d946 reviewed. All 100 project files including the umbrella are retained and the project card is unchanged. Prior faithfulness, novelty, significance, and source assessments carry forward; this does not repeat the full project audit.",
"validation": "Changed-source/helper-contract inspection, inventory comparison and git diff --check passed. No fresh local compilation or complete-project linter run is claimed. Fresh required CI at the current head remains necessary before merge.",
"findings": []
}

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{
"reviewed_head": "9dbd9e5a380783cb44e21f2d5a468c2f1e5df618",
"review_type": "Focused review of one normal main integration",
"verdict": "approve",
"assessment": "The merge from main changes only one generated README line relative to reviewed head 82a7863. The result has exactly the expected parents and main README blob. No mathematical source, theorem contract, certificate, or proof changes are introduced.",
"scope": "All 100 Besicovitch Lean files retain their exact blobs. All 221 existing main project cards plus this project card, the complete registry, root index, compiler pins/options, and gates remain unchanged. The prior complete review and the full matrix-certificate consolidation review at 3b7a395 carry forward.",
"validation": "Exact source/card/index/configuration and two-parent merge checks pass, as does git diff --check. Before integration, the three required GitHub Actions checks were successful at 82a7863, with no unresolved review threads. No local compilation was rerun for this README-only integration.",
"limitations": [
"Approval remains conditional on fresh required CI at this merged head; no claim that the new head is ready to merge yet.",
"PR title, body, draft state and labels were preserved."
],
"findings": []
}

@Vilin97 Vilin97 changed the title WIP: import Besicovitch 0.6934 formalization Import Besicovitch’s 0.6934 planar upper bound Sep 26, 2026
@Vilin97
Vilin97 merged commit d6a7227 into main Sep 26, 2026
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