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Theorems · Theorem · logic and foundations

Set.DefinableFun.of_empty

∀ {M : Type u_1} {L : FirstOrder.Language} [inst : L.Structure M] {α : Type u_2} {A : Set M} {f : (α → M) → M},
  Set.DefinableFun L ∅ f → Set.DefinableFun L A f
Defined in
Mathlib.ModelTheory.Definability
Cited by
1 results in Mathlib
Foundations
Depth 33 from the axioms · uses propext, Quot.sound
Assumes
FirstOrder.Language.Structure
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Set.DefinableFun.proj · cited by 1DefinableFun.projSet · cited by 53352SetFirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Structure · cited by 775Language.StructureSet.empty_subset · cited by 70Set.empty_subsetSet.DefinableFun · cited by 15Set.DefinableFunSet.Definable.mono · cited by 4Definable.monoDefinableFun.of_emptyCITED BYCITES

Cites6

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Cited by1

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