Theorems · Theorem · logic and foundations
FirstOrder.Language.Substructure.cg_iff_structure_cg
∀ {L : FirstOrder.Language} {M : Type u_1} [inst : L.Structure M] (S : L.Substructure M),
S.CG ↔ FirstOrder.Language.Structure.CG L ↥S- Defined in
- Mathlib.ModelTheory.FinitelyGenerated
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- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
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- Top.topproof · cited by 9,680
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- FirstOrder.Language.Substructurestatement and proof · cited by 242
- FirstOrder.Language.Substructure.mapproof · cited by 49
- FirstOrder.Language.Embedding.toHomproof · cited by 40
- FirstOrder.Language.Substructure.subtypeproof · cited by 40
- FirstOrder.Language.Substructure.CGstatement and proof · cited by 18
- FirstOrder.Language.Structure.CGstatement · cited by 16
- FirstOrder.Language.Hom.range_eq_mapproof · cited by 7
- FirstOrder.Language.Structure.cg_defproof · cited by 6
- FirstOrder.Language.Substructure.range_subtypeproof · cited by 3
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