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fix arg
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Mathlib/NumberTheory/NumberField/FinitePlaces.lean

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@@ -180,15 +180,16 @@ lemma toNNReal_valued_eq_adicAbv [Module.Finite ℤ R] [Module.Free ℤ R]
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(x : WithVal (v.valuation K)) :
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toNNReal (absNorm_ne_zero v) (Valued.v x) = adicAbv K v (WithVal.equiv _ x) := rfl
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variable {K} in
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/-- A predicate singling out finite places among the absolute values on a number field `K`. -/
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def IsFinitePlace (w : AbsoluteValue K ℝ) : Prop :=
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∃ v : IsDedekindDomain.HeightOneSpectrum (𝓞 K), place (FinitePlace.embedding K v) = w
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lemma FinitePlace.isFinitePlace (v : FinitePlace K) : IsFinitePlace K v.val := by
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lemma FinitePlace.isFinitePlace (v : FinitePlace K) : IsFinitePlace v.val := by
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simp [IsFinitePlace, v.prop]
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lemma isFinitePlace_iff (v : AbsoluteValue K ℝ) :
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IsFinitePlace K v ↔ ∃ w : FinitePlace K, w.val = v :=
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IsFinitePlace v ↔ ∃ w : FinitePlace K, w.val = v :=
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fun H ↦ ⟨⟨v, H⟩, rfl⟩, fun ⟨w, hw⟩ ↦ hw ▸ w.isFinitePlace⟩
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omit [NumberField K] in

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