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Fixing Bairespace fin n
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Mathlib/ModelTheory/Topology/Types.lean

Lines changed: 2 additions & 2 deletions
Original file line numberDiff line numberDiff line change
@@ -85,7 +85,7 @@ instance : CompactSpace (T.CompleteType α) := by
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have subset : SetLike.coe x ⊆ T.toTheory := by rwa[Set.mem_iInter₂] at T_inter
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exact Theory.IsSatisfiable.mono T.isMaximal'.1 subset
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· intro φ
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simp [mem_setOf_eq, typesWith_compl]
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simp only [mem_setOf_eq, typesWith_compl]
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exact Ultrafilter.mem_or_compl_mem F (typesWith φ)
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· refine ⟨trivial, ?_⟩
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· rw [nhds_generateFrom]
@@ -95,6 +95,6 @@ instance : CompactSpace (T.CompleteType α) := by
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obtain ⟨_, rfl⟩ := h.2
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exact h.1
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instance {n : ℕ} : BaireSpace (T.CompleteType (Fin n)) := BaireSpace.of_t2Space_locallyCompactSpace
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instance : BaireSpace (T.CompleteType α) := BaireSpace.of_t2Space_locallyCompactSpace
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end CompleteType

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