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Mathlib/ModelTheory/Topology Expand file tree Collapse file tree Original file line number Diff line number Diff line change @@ -85,7 +85,7 @@ instance : CompactSpace (T.CompleteType α) := by
8585 have subset : SetLike.coe x ⊆ T.toTheory := by rwa[Set.mem_iInter₂] at T_inter
8686 exact Theory.IsSatisfiable.mono T.isMaximal'.1 subset
8787 · intro φ
88- simp [mem_setOf_eq, typesWith_compl]
88+ simp only [mem_setOf_eq, typesWith_compl]
8989 exact Ultrafilter.mem_or_compl_mem F (typesWith φ)
9090 · refine ⟨trivial, ?_⟩
9191 · rw [nhds_generateFrom]
@@ -95,6 +95,6 @@ instance : CompactSpace (T.CompleteType α) := by
9595 obtain ⟨_, rfl⟩ := h.2
9696 exact h.1
9797
98- instance {n : ℕ} : BaireSpace (T.CompleteType (Fin n) ) := BaireSpace.of_t2Space_locallyCompactSpace
98+ instance : BaireSpace (T.CompleteType α ) := BaireSpace.of_t2Space_locallyCompactSpace
9999
100100end CompleteType
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