Prove Nagata (openai/math family 039: Nagata's conjecture and maximal Seshadri constants) in Lean 4 with…
Prove Nagata (openai/math family 039: Nagata's conjecture and maximal Seshadri constants) in Lean 4 with…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 039 of the release, Nagata's conjecture and maximal Seshadri constants (Algebraic and…
The task
Context: this statement belongs to family 039 of the release, *Nagata's conjecture and maximal Seshadri constants* (Algebraic and complex geometry). The family as a whole: Proves Nagata's strict inequality $\sum_i m_i<d\sqrt r$ for every nonzero effective plane curve of degree $d$ through $r\ge10$ very general…
Part of raising-heart/openai-math.