Theorems · Theorem · logic and foundations
FirstOrder.Language.Substructure.cg_of_countable
∀ {L : FirstOrder.Language} {M : Type u_1} [inst : L.Structure M] {s : L.Substructure M} [h : Countable ↥s], s.CG- Defined in
- Mathlib.ModelTheory.FinitelyGenerated
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- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetLike.coeproof · cited by 8,199
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- Countablestatement and proof · cited by 633
- FirstOrder.Language.Substructurestatement and proof · cited by 242
- FirstOrder.Language.Substructure.CGstatement · cited by 18
- FirstOrder.Language.Substructure.closure_eqproof · cited by 7
- Countable.to_setproof · cited by 3
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