Theorems · Definition · logic and foundations
FirstOrder.Language.LHom.addConstants
{L : FirstOrder.Language} →
(α : Type w') → {L' : FirstOrder.Language} → (L →ᴸ L') → (L.withConstants α →ᴸ L'.withConstants α)Adds constants to a language map.
- Defined in
- Mathlib.ModelTheory.LanguageMap
- Cited by
- 2 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 and proof · cited by 66
- FirstOrder.Language.constantsOnproof · cited by 22
- FirstOrder.Language.LHom.idproof · cited by 18
- FirstOrder.Language.LHom.sumMapproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Set.Definable.map_expansionproof · cited by 1
- Set.TermDefinable.map_expansionproof · cited by 1