Technical Lean evidence record
Checked Artifact: Helly’s Theorem (mathlib)
Proof Atlas collected build, no-sorry, axiom, and clean-source evidence directly from the pinned upstream declaration.
ProofAtlas record
What has been checked
These states distinguish upstream identity, local reproduction, review, and Atlas acceptance. This page is part of the public, read-only Mathlib landmark collection.
Mechanical evidence
- Declaration checked
Convex.helly_theorem- Module
Mathlib.Analysis.Convex.Radon- Source file checked
Mathlib/Analysis/Convex/Radon.lean- Package commit
5e932f97dd25535344f80f9dd8da3aab83df0fe6- Build
- passed · transcript retained
- Unfinished proof steps
- None found by the recorded no-sorry scan
- Axiom closure
- Classical.choice, Quot.sound, propext
- Clean collection provenance
- Recorded
Evidence boundary
This page indexes Mathlib’s finite indexed-family Helly theorem in a finite-dimensional module over the source’s linearly ordered field typeclasses. The family has at least d+1 indices, and every subfamily of exactly d+1 indices must intersect. The selected endpoint proves nonemptiness only; it is not the separate compact infinite-family variant, an algorithm, an explicit witness construction, or an optimality theorem. Planar diagrams are examples, not the theorem’s full scope.
This checker record is evidence for the exact formal statement only. It does not establish novelty, transfer a historical acceptance decision, or authorize publication.