Theorems · Theorem · logic and foundations
FirstOrder.Language.IsUltrahomogeneous.amalgamation_age
∀ {L : FirstOrder.Language} {M : Type w} [inst : L.Structure M],
L.IsUltrahomogeneous M → FirstOrder.Language.Amalgamation (L.age M)- Defined in
- Mathlib.ModelTheory.Fraisse
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites36
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- CategoryTheory.Bundled.αproof · cited by 736
- le_sup_leftproof · cited by 265
- le_sup_rightproof · cited by 242
- FirstOrder.Language.Substructureproof · cited by 242
- Set.inclusionproof · cited by 145
- FirstOrder.Language.Embeddingproof · cited by 128
- FirstOrder.Language.Equivproof · cited by 83
- CategoryTheory.Bundledproof · cited by 42
- FirstOrder.Language.Embedding.toHomproof · cited by 40
Cited by1
Results whose statement or proof uses this declaration.
- FirstOrder.Language.IsUltrahomogeneous.age_isFraisseproof · cited by 1