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noether_problem.variants.forty_seven

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One can find a counterexample to the Noether Problem's claim by considering a rational function field in 47 indeterminates.

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Lean 4 Statement 
theorem noether_problem.variants.forty_seven :
    ∃ (K L ι G : Type)
    (_ :  Field K) (_ : Field L) (_ : Fintype ι) (_ : Algebra K L)
    (_ : IsRationalExtension K L ι),
    Fintype.card ι = 47 ∧ ¬ HasNoetherProperty K L ι
ID: Wikipedia__NoetherProblem__noether_problem.variants.forty_seven
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