Theorems · Definition · logic and foundations
FirstOrder.Language.lhomWithConstantsMap
(L : FirstOrder.Language) → {α : Type w'} → {β : Type u_1} → (α → β) → (L.withConstants α →ᴸ L.withConstants β)The language map extending the constant set.
- Defined in
- Mathlib.ModelTheory.LanguageMap
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses no axioms
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.
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.withConstantsstatement · cited by 108
- FirstOrder.Language.LHomstatement · cited by 66
- FirstOrder.Language.LHom.idproof · cited by 18
- FirstOrder.Language.LHom.sumMapproof · cited by 4
- FirstOrder.Language.LHom.constantsOnMapproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- Set.Definable.monoproof · cited by 4
- Set.TermDefinable.monoproof · cited by 0
- FirstOrder.Language.LHom.map_constants_comp_sumInlstatement and proof · cited by 0