Theorems · Theorem · logic and foundations
FirstOrder.Language.Theory.ModelType.reduct_Carrier
∀ {L : FirstOrder.Language} {T : L.Theory} {L' : FirstOrder.Language} (φ : L →ᴸ L') (M : (φ.onTheory T).ModelType),
↑(FirstOrder.Language.Theory.ModelType.reduct φ M) = ↑M- Defined in
- Mathlib.ModelTheory.Bundled
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.LHomstatement and proof · cited by 66
- FirstOrder.Language.Theory.ModelTypestatement and proof · cited by 62
- FirstOrder.Language.Theory.ModelType.Carrierstatement and proof · cited by 59
- FirstOrder.Language.LHom.onTheorystatement and proof · cited by 27
- FirstOrder.Language.Theory.ModelType.reductstatement and proof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- FirstOrder.Language.Theory.exists_large_model_of_infinite_modelproof · cited by 1