Theorems · Definition · logic and foundations
FirstOrder.Language.con
(L : FirstOrder.Language) → {α : Type w'} → α → (L.withConstants α).ConstantsThe constant symbol indexed by a particular element.
- Defined in
- Mathlib.ModelTheory.LanguageMap
- Cited by
- 21 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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.Constantsstatement · cited by 14
Cited by22
Results whose statement or proof uses this declaration.
- FirstOrder.Language.distinctConstantsTheoryproof · cited by 9
- FirstOrder.Language.Formula.realize_equivSentence_symm_constatement and proof · cited by 4
- FirstOrder.Language.Term.realize_varsToConstantsstatement and proof · cited by 3
- FirstOrder.Language.model_distinctConstantsTheorystatement and proof · cited by 2
- FirstOrder.Language.Formula.realize_equivSentencestatement and proof · cited by 2
- FirstOrder.Language.Term.realize_constantsToVarsstatement and proof · cited by 1
- FirstOrder.Language.Term.realize_constantsVarsEquivLeftstatement and proof · cited by 1
- FirstOrder.Language.definableFun_constproof · cited by 1
- FirstOrder.Language.distinctConstantsTheory_eq_iUnionproof · cited by 1
- FirstOrder.Language.withConstants_funMap_sumInrstatement and proof · cited by 1