Prove AtomicGaussian (openai/math family 090: Universal optimality of the triangular lattice) in Lean 4 with…
Prove AtomicGaussian (openai/math family 090: Universal optimality of the triangular lattice) in Lean 4 with…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 090 of the release, Universal optimality of the triangular lattice (Convex and…
The task
Context: this statement belongs to family 090 of the release, *Universal optimality of the triangular lattice* (Convex and metric geometry). The family as a whole: Proves that the triangular lattice minimizes the lower limit of energy per particle for every nonnegative completely monotone potential of squared…
Part of raising-heart/openai-math.