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Proved B is finite #211

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Proved B is finite #211

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0cf0aed
Proved theorem
4hma4d Nov 8, 2024
fc59045
shortened proof
4hma4d Nov 9, 2024
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6 changes: 3 additions & 3 deletions FLT/DedekindDomain/FiniteAdeleRing/BaseChange.lean
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Expand Up @@ -36,9 +36,9 @@ variable [IsDomain B]
-- example : Algebra.IsIntegral A B := IsIntegralClosure.isIntegral_algebra A L
variable [Algebra.IsIntegral A B]

-- I can't find in mathlib the assertion that B is a finite A-moduie.
-- It should follow from L/K finite.
example : Module.Finite A B := by sorry -- I assume this is correct
example: Module.Finite A B := by
have := IsIntegralClosure.isNoetherian A K L B
exact Module.IsNoetherian.finite A B

/-
In this generality there's a natural isomorphism `L ⊗[K] 𝔸_K^∞ → 𝔸_L^∞` .
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