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Theorems · Theorem · logic and foundations

CompleteType.isClosed_typesWith

∀ {L : FirstOrder.Language} {T : L.Theory} {α : Type u_1} (φ : (L.withConstants α).Sentence), IsClosed (T.typesWith φ)
Defined in
Mathlib.ModelTheory.Topology.Types
Cited by
1 results in Mathlib
Foundations
Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
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CompleteType.isClopen_typesWith · cited by 0CompleteType.isClopen_typ…Set · cited by 53352SetIsOpen · cited by 2400IsOpenIsClosed · cited by 1639IsClosedFirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Theory · cited by 154Language.TheoryFirstOrder.Language.Sentence · cited by 127Language.SentenceFirstOrder.Language.withConstants · cited by 108Language.withConstantsFirstOrder.Language.Theory.CompleteType · cited by 35Theory.CompleteTypeFirstOrder.Language.BoundedFormula.not · cited by 27BoundedFormula.notFirstOrder.Language.Theory.typesWith · cited by 9Theory.typesWithCompleteType.isOpen_typesWith · cited by 2CompleteType.isOpen_types…FirstOrder.Language.Theory.CompleteType.typesWith_not · cited by 1CompleteType.typesWith_notCompleteType.isClosed_typesWi…CITED BYCITES

Cites12

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Cited by1

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