Prove PlaneColoring (openai/math family 158: The Euclidean plane cannot be colored with five colors) in Lean…
Prove PlaneColoring (openai/math family 158: The Euclidean plane cannot be colored with five colors) in Lean…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 158 of the release, The Euclidean plane cannot be colored with five colors…
The task
Context: this statement belongs to family 158 of the release, *The Euclidean plane cannot be colored with five colors* (Combinatorics). The family as a whole: Proves that every five-coloring of the Euclidean plane has a monochromatic pair at distance one, with no restriction on the color classes. This advances the…
Part of raising-heart/openai-math.