HF RL Explorer

Prove GaussianPropeller (openai/math family 096: The Gaussian propeller conjecture) in Lean 4 with Mathlib…

Prove GaussianPropeller (openai/math family 096: The Gaussian propeller conjecture) in Lean 4 with Mathlib…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 096 of the release, The Gaussian propeller conjecture (Convex and metric geometry)…

The task

Context: this statement belongs to family 096 of the release, *The Gaussian propeller conjecture* (Convex and metric geometry). The family as a whole: Proves that the sum of squared Gaussian first moments of any finite measurable partition is at most $9/(8\pi)$. In dimension at least two, three planar sectors of…

Part of raising-heart/openai-math.