Prove ThreeTorus (openai/math family 144: Banach's simple Lebesgue-spectrum problem) in Lean 4 with Mathlib…
Prove ThreeTorus (openai/math family 144: Banach's simple Lebesgue-spectrum problem) in Lean 4 with Mathlib…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 144 of the release, Banach's simple Lebesgue-spectrum problem (Dynamical systems…
The task
Context: this statement belongs to family 144 of the release, *Banach's simple Lebesgue-spectrum problem* (Dynamical systems and ergodic theory). The family as a whole: Resolves the probability-preserving form of Banach's simple Lebesgue-spectrum problem within smooth dynamics. A smooth volume-preserving…
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