Prove SteinitzBergstrom (openai/math family 097: The Euclidean Steinitz–Bergstrom conjecture) in Lean 4 with…
Prove SteinitzBergstrom (openai/math family 097: The Euclidean Steinitz–Bergstrom conjecture) in Lean 4 with…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 097 of the release, The Euclidean Steinitz–Bergstrom conjecture (Convex and metric…
The task
Context: this statement belongs to family 097 of the release, *The Euclidean Steinitz–Bergstrom conjecture* (Convex and metric geometry). The family as a whole: Proves that any finite sequence in the Euclidean unit ball of $\mathbb R^d$ admits signs keeping every partial sum within $C\sqrt d$, independently of…
Part of raising-heart/openai-math.