Theorems · Theorem · logic and foundations

FirstOrder.Language.IsFraisseLimit.ultrahomogeneous

∀ {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.IsUltrahomogeneous M

Defined in

Mathlib.ModelTheory.Fraisse

Cited by

2 results in Mathlib

Foundations

Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FirstOrder.Language.StructureCountableCountable