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1 parent 482f01d commit 7c45de9Copy full SHA for 7c45de9
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Mathlib/Topology/Baire/Lemmas.lean
@@ -57,8 +57,8 @@ theorem IsGδ.baireSpace_of_dense {s : Set X} (hG : IsGδ s) (hd : Dense s) : Ba
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∀ n, f n = Subtype.val ⁻¹' g n := by
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choose g hg1 hg2 hg3 using fun n => exists_open_dense_of_open_dense_subtype hd (hof n) (hdf n)
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exact ⟨g, hg1, hg2, fun n => (hg3 n).symm⟩
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- have h_inter_dense : Dense (⋂ n, g n ∩ V n) := by
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- exact BaireSpace.baire_property (fun n ↦ g n ∩ V n) (fun n => IsOpen.inter (hg1 n) (hV.1 n))
+ have h_inter_dense : Dense (⋂ n, g n ∩ V n) :=
+ BaireSpace.baire_property (fun n ↦ g n ∩ V n) (fun n => (hg1 n).inter (hV.1 n))
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(fun n => (hg2 n).inter_of_isOpen_left (Dense.mono (by simp [hV.2, iInter_subset]) hd)
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(hg1 n))
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have h_inter_eq : ⋂ n, g n ∩ V n = ⋂ n, f n := by
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