HF RL Explorer

Prove CannonGeometricAction (openai/math family 246: Cannon's conjecture) in Lean 4 with Mathlib; graded by…

Prove CannonGeometricAction (openai/math family 246: Cannon's conjecture) in Lean 4 with Mathlib; graded by…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 246 of the release, Cannon's conjecture (Group theory). The family as a whole…

The task

Context: this statement belongs to family 246 of the release, *Cannon's conjecture* (Group theory). The family as a whole: Every word-hyperbolic group with boundary homeomorphic to $S^2$ admits a proper cocompact isometric action on hyperbolic three-space with finite kernel, proving Cannon's conjecture. Every…

Part of raising-heart/openai-math.