Theorems · Theorem · logic and foundations
FirstOrder.Language.IsFraisseLimit.age
∀ {L : FirstOrder.Language} {K : Set (CategoryTheory.Bundled L.Structure)} {M : Type w} [inst : L.Structure M]
[inst_1 : Countable ((l : ℕ) × L.Functions l)] [inst_2 : Countable M],
FirstOrder.Language.IsFraisseLimit K M → L.age M = K- Defined in
- Mathlib.ModelTheory.Fraisse
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- Countablestatement and proof · cited by 633
- FirstOrder.Language.Functionsstatement and proof · cited by 153
- CategoryTheory.Bundledstatement and proof · cited by 42
- FirstOrder.Language.agestatement · cited by 18
- FirstOrder.Language.IsFraisseLimitstatement and proof · cited by 7
Cited by3
Results whose statement or proof uses this declaration.
- FirstOrder.Language.IsFraisseLimit.isFraisseproof · cited by 2
- FirstOrder.Language.IsFraisseLimit.nonempty_equivproof · cited by 1
- FirstOrder.Language.IsFraisseLimit.isExtensionPairproof · cited by 1