Theorems · Definition · logic and foundations
FirstOrder.Language.ElementarySubstructure.toModel
{L : FirstOrder.Language} → (T : L.Theory) → {M : T.ModelType} → L.ElementarySubstructure ↑M → T.ModelTypeAn elementary substructure of a bundled model as a bundled model.
- Defined in
- Mathlib.ModelTheory.Bundled
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
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.Theorystatement and proof · cited by 154
- FirstOrder.Language.Theory.ModelTypestatement and proof · cited by 62
- FirstOrder.Language.Theory.ModelType.Carrierstatement and proof · cited by 59
- FirstOrder.Language.ElementarySubstructurestatement and proof · cited by 18
- FirstOrder.Language.ElementarilyEquivalent.toModelproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- FirstOrder.Language.Theory.Model.isSatisfiableproof · cited by 5