Theorems · Theorem · logic and foundations
FirstOrder.Language.age.countable_quotient
∀ {L : FirstOrder.Language} (M : Type w) [inst : L.Structure M] [h : Countable M], (Quotient.mk' '' L.age M).CountableThe age of a countable structure is essentially countable (has countably many isomorphism classes).
- Defined in
- Mathlib.ModelTheory.Fraisse
- Cited by
- 2 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.
Cites38
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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Cited by2
Results whose statement or proof uses this declaration.
- FirstOrder.Language.IsUltrahomogeneous.age_isFraisseproof · cited by 1
- FirstOrder.Language.exists_countable_is_age_of_iffproof · cited by 0