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Audit the explicit nine-point Erdős 100 construction - #284

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openai/audit-erdos100-piepmeyer
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Audit the explicit nine-point Erdős 100 construction#284
DomTheDeveloper wants to merge 2 commits into
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openai/audit-erdos100-piepmeyer

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@DomTheDeveloper

@DomTheDeveloper DomTheDeveloper commented Jul 26, 2026

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Green result

The complete explicit Piepmeyer witness proof now replays successfully against the current catalog definitions and pinned Lean toolchain.

It verifies a concrete A : Finset ℝ² with:

  • A.card = 9;
  • DistancesSeparated A;
  • diam (A : Set ℝ²) < 5.

Immutable provenance

Historical source blob:

db773dd78975db6da5aed05c05c6eff1a26112b5

Audit branch head:

ac6d0f804114149b70673549d2d8494eeab9195c

Focused run 30213263093 passed:

  • exact source-blob verification;
  • current catalog-module build;
  • proof-only source generation;
  • no-hole/no-trust scan;
  • complete Lean compilation;
  • exact theorem axiom audit.

Axiom footprint:

[propext, Classical.choice, Quot.sound]

No sorryAx or compiler-trust dependency appears.

Status

Green proof recovery. The canonical admitted declaration still needs a focused restoration patch before promotion to _PRs/ready/. This audit-only PR should not merge.

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👋 This is an automated welcome message. 🤖
Thanks for the contributions!

A few friendly reminders while the review gets started:

  • Please take a look at the style guidelines,
    especially the conventions for references, categories, AMS tags, and answer(sorry).
  • You can manage some PR labels by leaving a comment with +label-name or -label-name; for example, +awaiting-author or -awaiting-author.
  • This repository is mainly for formalised statements. Proofs longer than about 25-50 lines are usually out of scope; longer proofs are welcome to be included/linked via the formal_proof mechanism.

Thanks again for helping improve Formal Conjectures.

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