FirstOrder.Language.age.has_representative_as_substructure

∀ {L : FirstOrder.Language} (M : Type w) [inst : L.Structure M],
  ∀ C ∈ Quotient.mk' '' L.age M, ∃ V, ⟦{ α := ↥↑V, str := inferInstance }⟧ = C

Any class in the age of a structure has a representative which is a finitely generated substructure.

Defined in: Mathlib.ModelTheory.Fraisse
Cited by: 0 results in Mathlib
Foundations: Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: FirstOrder.Language.Structure

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