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Mathlib/ModelTheory/Topology/Types.lean

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@@ -77,7 +77,7 @@ instance {n : ℕ} : CompactSpace (T.CompleteType (Fin n)) := by
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refine ⟨?_, ?_⟩
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· rw[Theory.IsFinitelySatisfiable]
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intro x hx
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have : ∀ φ ∈ x, typesWith φ ∈ F.toFilter := by intro φ hφ ; exact hx hφ
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have : ∀ φ ∈ x, typesWith φ ∈ F.toFilter := by intro φ hφ; exact hx hφ
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rw[←Filter.biInter_finset_mem x] at this
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obtain ⟨T, T_inter⟩ := F.neBot.nonempty_of_mem this
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have subset : SetLike.coe x ⊆ T.toTheory := by rwa[Set.mem_iInter₂] at T_inter

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