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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} M

Any 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
Assumes
CountableInfiniteFirstOrder.Language.Structure

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