Prove RuledCovering (openai/math family 100: A counterexample to Bang's cylinder-covering bound) in Lean 4…
Prove RuledCovering (openai/math family 100: A counterexample to Bang's cylinder-covering bound) in Lean 4…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 100 of the release, A counterexample to Bang's cylinder-covering bound (Convex and…
The task
Context: this statement belongs to family 100 of the release, *A counterexample to Bang's cylinder-covering bound* (Convex and metric geometry). The family as a whole: Covers the entire closed regular tetrahedron by finitely many cylinders with compact triangular perpendicular bases whose total area is less than half…
Part of raising-heart/openai-math.