Prove ThompsonNonamenability (openai/math family 248: Thompson's group $F$ is nonamenable) in Lean 4 with…
Prove ThompsonNonamenability (openai/math family 248: Thompson's group $F$ is nonamenable) in Lean 4 with…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 248 of the release, Thompson's group $F$ is nonamenable (Group theory). The family as…
The task
Context: this statement belongs to family 248 of the release, *Thompson's group $F$ is nonamenable* (Group theory). The family as a whole: Proves that Thompson's group $F$, the group of dyadic piecewise linear homeomorphisms of the interval, is nonamenable, resolving its longstanding amenability problem.
Part of raising-heart/openai-math.