Prove PlanarFalconer (openai/math family 073: The Falconer distance conjecture) in Lean 4 with Mathlib…
Prove PlanarFalconer (openai/math family 073: The Falconer distance conjecture) in Lean 4 with Mathlib…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 073 of the release, The Falconer distance conjecture (Real and complex analysis). The…
The task
Context: this statement belongs to family 073 of the release, *The Falconer distance conjecture* (Real and complex analysis). The family as a whole: Resolves the Falconer distance conjecture in every dimension $d\ge2$: every compact set $E\subset\mathbb R^d$ with Hausdorff dimension greater than $d/2$ determines a…
Part of raising-heart/openai-math.