The **Noether Problem**: let `L` be the field of rational functions in `n`
indeterminates over `K`. Is it true that `L/K` has the Noether property?
Solution: False.
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theorem noether_problem : answer(False) ↔ ∀ (K L ι G : Type)
[Field K] [Field L] [Fintype ι] [Algebra K L] [IsRationalExtension K L ι],
HasNoetherProperty K L ι