Theorems · Theorem · logic and foundations
FirstOrder.Language.Structure.FG.countable_embedding
∀ {L : FirstOrder.Language} {M : Type u_1} [inst : L.Structure M] (N : Type u_2) [inst_1 : L.Structure N] [Countable N],
FirstOrder.Language.Structure.FG L M → Countable (L.Embedding M N)- Defined in
- Mathlib.ModelTheory.FinitelyGenerated
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- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
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- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- Countablestatement and proof · cited by 633
- FirstOrder.Language.Embeddingstatement · cited by 128
- FirstOrder.Language.Embedding.toHomproof · cited by 40
- FirstOrder.Language.Structure.FGstatement and proof · cited by 27
- Function.Embedding.countableproof · cited by 4
- FirstOrder.Language.Embedding.toHom_injectiveproof · cited by 2
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