Theorems · Theorem · logic and foundations
Set.definable_empty
∀ {M : Type w} {A : Set M} {L : FirstOrder.Language} [inst : L.Structure M] {α : Type u₁}, A.Definable L ∅- Defined in
- Mathlib.ModelTheory.Definability
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Bot.botproof · cited by 4,720
- Set.extproof · cited by 2,266
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- Set.Definablestatement · cited by 39
Cited by1
Results whose statement or proof uses this declaration.
- Set.definable_finset_supproof · cited by 2