Theorems · Definition · logic and foundations
FirstOrder.Language.lhomWithConstants
(L : FirstOrder.Language) → (α : Type w') → L →ᴸ L.withConstants α
The language map adding constants.
- Defined in
- Mathlib.ModelTheory.LanguageMap
- Cited by
- 39 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.
Cites4
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.sumInlproof · cited by 9
Cited by46
Results whose statement or proof uses this declaration.
- FirstOrder.Language.LEquiv.addEmptyConstantsproof · cited by 5
- FirstOrder.Language.Theory.CompleteType.subsetstatement · cited by 4
- FirstOrder.Language.Formula.realize_equivSentence_symm_constatement and proof · cited by 4
- FirstOrder.Language.Theory.CompleteType.setOfPred_subset_eq_empty_iffstatement and proof · cited by 3
- FirstOrder.Language.Term.realize_varsToConstantsstatement and proof · cited by 3
- FirstOrder.Language.withConstants_funMap_sumInlstatement and proof · cited by 3
- FirstOrder.Language.ElementaryEmbedding.ofModelsElementaryDiagramstatement and proof · cited by 2
- FirstOrder.Language.Theory.ModelsBoundedFormula.realize_formulaproof · cited by 2
- FirstOrder.Language.Formula.realize_equivSentencestatement and proof · cited by 2
- FirstOrder.Language.Substructure.reduct_withConstantsstatement and proof · cited by 1
- FirstOrder.Language.Theory.isSatisfiable_union_distinctConstantsTheory_of_card_lestatement and proof · cited by 1
- FirstOrder.Language.Theory.isSatisfiable_union_distinctConstantsTheory_of_infinitestatement and proof · cited by 1