Theorems · Theorem · logic and foundations
FirstOrder.Language.empty.isFraisseLimit_of_countable_infinite
∀ (M : Type u_1) [inst : Countable M] [Infinite M] [inst_2 : FirstOrder.Language.empty.Structure M],
FirstOrder.Language.IsFraisseLimit {S | Finite ↑S} MAny countable infinite structure in the empty language is a Fraïssé limit of the class of finite structures.
- Defined in
- Mathlib.ModelTheory.Fraisse
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites46
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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Cited by1
Results whose statement or proof uses this declaration.
- FirstOrder.Language.empty.isFraisse_finiteproof · cited by 0