Prove FactorGeneration (openai/math family 296: The generator problem for finite factors) in Lean 4 with…
Prove FactorGeneration (openai/math family 296: The generator problem for finite factors) in Lean 4 with…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 296 of the release, The generator problem for finite factors (Operator algebras). The…
The task
Context: this statement belongs to family 296 of the release, *The generator problem for finite factors* (Operator algebras). The family as a whole: Proves that every type $\mathrm{II}_1$ factor with separable predual is generated by a single operator, equivalently by two self-adjoint operators, resolving the…
Part of raising-heart/openai-math.