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Theorems · Theorem · logic and foundations

Set.termDefinable_empty_withConstants_iff

∀ {M : Type w} {A : Set M} {L : FirstOrder.Language} [inst : L.Structure M] {α : Type u₁} {f : (α → M) → M},
  ∅.TermDefinable (L.withConstants ↑A) f ↔ A.TermDefinable L f
Defined in
Mathlib.ModelTheory.Definability
Cited by
1 results in Mathlib
Foundations
Depth 31 from the axioms · uses propext, Quot.sound
Assumes
FirstOrder.Language.Structure
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Set.TermDefinable.mono · cited by 0TermDefinable.monoSet · cited by 53352SetSet.Elem · cited by 7166Set.ElemFirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Structure · cited by 775Language.StructureFirstOrder.Language.withConstants · cited by 108Language.withConstantsSet.TermDefinable · cited by 12Set.TermDefinableSet.termDefinable_empty_iff · cited by 1Set.termDefinable_empty_i…Set.termDefinable_empty_withC…CITED BYCITES

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Cited by1

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