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Theorems · Theorem · logic and foundations

FirstOrder.Language.Theory.CompleteType.typesWith_top

∀ {L : FirstOrder.Language} {T : L.Theory} {α : Type w}, T.typesWith ⊤ = Set.univ
Defined in
Mathlib.ModelTheory.Types
Cited by
1 results in Mathlib
Foundations
Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
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CompleteType.isTopologicalBasis_range_typesWith · cited by 0CompleteType.isTopologica…Set · cited by 53352SetTop.top · cited by 9680Top.topSetLike.coe · cited by 8199SetLike.coeBot.bot · cited by 4720Bot.botSet.univ · cited by 3945Set.univFirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Theory · cited by 154Language.TheoryFirstOrder.Language.Sentence · cited by 127Language.SentenceFirstOrder.Language.withConstants · cited by 108Language.withConstantsFirstOrder.Language.BoundedFormula.Realize · cited by 104BoundedFormula.RealizeFirstOrder.Language.Theory.ModelType · cited by 62Theory.ModelTypeFirstOrder.Language.Theory.ModelType.Carrier · cited by 59ModelType.CarrierSet.univ_subset_iff · cited by 49Set.univ_subset_iffFirstOrder.Language.Theory.CompleteType · cited by 35Theory.CompleteTypeFirstOrder.Language.Theory.typesWith · cited by 9Theory.typesWithCompleteType.typesWith_topCITED BYCITES

Cites17

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Cited by1

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