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Mathlib/NumberTheory/NumberField/InfinitePlace Expand file tree Collapse file tree Original file line number Diff line number Diff line change @@ -53,16 +53,16 @@ theorem IsTotallyReal.ofRingEquiv [IsTotallyReal F] (f : F ≃+* K) : IsTotallyR
5353 isReal _ := (isReal_comap_iff f).mp <| IsTotallyReal.isReal _
5454
5555variable (F K) in
56- theorem IsTotally .of_algebra [IsTotallyReal K] [Algebra F K] : IsTotallyReal F where
56+ theorem IsTotallyReal .of_algebra [IsTotallyReal K] [Algebra F K] : IsTotallyReal F where
5757 isReal w := by
5858 obtain ⟨W, rfl⟩ : ∃ W : InfinitePlace K, W.comap (algebraMap F K) = w := comap_surjective w
5959 exact IsReal.comap _ (IsTotallyReal.isReal W)
6060
6161instance [IsTotallyReal K] (F : IntermediateField ℚ K) : IsTotallyReal F :=
62- IsTotally .of_algebra F K
62+ IsTotallyReal .of_algebra F K
6363
6464instance [IsTotallyReal K] (F : Subfield K) : IsTotallyReal F :=
65- IsTotally .of_algebra F K
65+ IsTotallyReal .of_algebra F K
6666
6767variable (K)
6868
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