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Theorems · Theorem · logic and foundations

FirstOrder.Language.Substructure.closure_univ

∀ {L : FirstOrder.Language} {M : Type w} [inst : L.Structure M],
  (FirstOrder.Language.Substructure.closure L).toFun Set.univ = ⊤
Defined in
Mathlib.ModelTheory.Substructures
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Foundations
Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FirstOrder.Language.Structure
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Set · cited by 53352SetTop.top · cited by 9680Top.topSetLike.coe · cited by 8199SetLike.coeSet.univ · cited by 3945Set.univFirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Structure · cited by 775Language.StructureFirstOrder.Language.Substructure · cited by 242Language.SubstructureLowerAdjoint.toFun · cited by 105LowerAdjoint.toFunFirstOrder.Language.Substructure.closure · cited by 70Substructure.closureFirstOrder.Language.Substructure.closure_eq · cited by 7Substructure.closure_eqFirstOrder.Language.Substructure.coe_top · cited by 2Substructure.coe_topSubstructure.closure_univCITED BYCITES

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