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Theorems · Theorem · logic and foundations

FirstOrder.Language.Substructure.fg_iff_finite

∀ {L : FirstOrder.Language} {M : Type u_1} [inst : L.Structure M] [L.IsRelational] {S : L.Substructure M},
  S.FG ↔ Finite ↥S
Defined in
Mathlib.ModelTheory.FinitelyGenerated
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0 results in Mathlib
Foundations
Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FirstOrder.Language.StructureFirstOrder.Language.IsRelational
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Finite · cited by 3029FiniteFirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Structure · cited by 775Language.StructureFirstOrder.Language.Substructure · cited by 242Language.SubstructureFirstOrder.Language.Substructure.FG · cited by 34Substructure.FGFirstOrder.Language.IsRelational · cited by 10Language.IsRelationalFirstOrder.Language.Substructure.FG.finite · cited by 3FG.finiteFirstOrder.Language.Substructure.FG.of_finite · cited by 1FG.of_finiteSubstructure.fg_iff_finiteCITED BYCITES

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