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Theoremcore

Helly's theorem

Also called Helly's theorem on convex sets.

If every d+1 members of a finite family of convex sets in R^d intersect, the whole family intersects.

If every d+1 members of a finite family of convex sets in R^d intersect, the whole family intersects.

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The build computes these levels from the evidence in the repository. Each row says what the next level needs. Read what the levels mean.

LadderLevelWhat the next level needs
Human proofH0 no proof
  • add a proof in proofs/ (06.5)
LeanL0 no Lean part
  • name a Lean module in the lean field (07)
VisualV0 none
  • add viz/scene.ts or a figure (10)
WritingW0 stub
  • Statement
  • one source with a locator