Theorems · Definition · logic and foundations
FirstOrder.Language.Theory.ModelType.Carrier
{L : FirstOrder.Language} → {T : L.Theory} → T.ModelType → Type wThe underlying type for the models
- Defined in
- Mathlib.ModelTheory.Bundled
- Cited by
- 59 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.Theorystatement and proof · cited by 154
- FirstOrder.Language.Theory.ModelTypestatement and proof · cited by 62
Cited by68
Results whose statement or proof uses this declaration.
- FirstOrder.Language.Theory.ModelsBoundedFormulaproof · cited by 30
- FirstOrder.Language.Theory.models_sentence_iffstatement · cited by 6
- FirstOrder.Language.Theory.ModelType.reductproof · cited by 5
- FirstOrder.Language.Theory.models_iff_not_satisfiableproof · cited by 4
- FirstOrder.Language.Theory.ModelType.subtheoryModelproof · cited by 4
- Cardinal.Categoricalproof · cited by 4
- FirstOrder.Language.Theory.iff_iff_imp_and_impproof · cited by 3
- FirstOrder.Language.Theory.isSatisfiable_iff_isFinitelySatisfiableproof · cited by 3
- FirstOrder.Language.Theory.ModelType.defaultExpansionstatement and proof · cited by 3
- Cardinal.Categorical.isCompletestatement and proof · cited by 3
- FirstOrder.Language.Theory.CompleteType.setOfPred_subset_eq_empty_iffproof · cited by 3
- FirstOrder.Language.Theory.models_formula_iffstatement and proof · cited by 2