Prove WeakHessian (openai/math family 356: Gigli's characterization of Alexandrov curvature) in Lean 4 with…
Prove WeakHessian (openai/math family 356: Gigli's characterization of Alexandrov curvature) in Lean 4 with…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 356 of the release, Gigli's characterization of Alexandrov curvature (Differential…
The task
Context: this statement belongs to family 356 of the release, *Gigli's characterization of Alexandrov curvature* (Differential geometry). The family as a whole: Proves Gigli's conjecture: in every integer dimension $n\ge2$, Alexandrov curvature at least $\kappa$ is characterized by the full-support…
Part of raising-heart/openai-math.