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Mathlib/RingTheory/RamificationInertia/Basic.lean

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@@ -81,6 +81,7 @@ theorem sum_ramification_inertia_eq_card
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[IsDomain R] [IsDomain S] [Module.Finite R S] [Module.Flat R S] [Fintype (p.primesOver S)]
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{G : Type*} [Group G] [MulSemiringAction G S] [IsGaloisGroup G R S] :
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∑ q : p.primesOver S, q.1.ramificationIdx' R * q.1.inertiaDeg' R = Nat.card G := by
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let := IsGaloisGroup.finite G R S
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rw [sum_ramification_inerta_eq_finrank, IsGaloisGroup.card_eq_finrank' G R S]
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end Ideal

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