Theorems · Theorem · logic and foundations
FirstOrder.Language.Structure.fg_def
∀ {L : FirstOrder.Language} {M : Type u_1} [inst : L.Structure M], FirstOrder.Language.Structure.FG L M ↔ ⊤.FG- Defined in
- Mathlib.ModelTheory.FinitelyGenerated
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- FirstOrder.Language.Substructurestatement · cited by 242
- FirstOrder.Language.Substructure.FGstatement and proof · cited by 34
- FirstOrder.Language.Structure.FGstatement and proof · cited by 27
- FirstOrder.Language.Structure.FG.outproof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- FirstOrder.Language.Substructure.fg_iff_structure_fgproof · cited by 12
- FirstOrder.Language.Structure.FG.rangeproof · cited by 7
- FirstOrder.Language.Structure.FG.finiteproof · cited by 3
- FirstOrder.Language.Structure.fg_iffproof · cited by 1
- FirstOrder.Language.Structure.FG.map_of_surjectiveproof · cited by 1
- FirstOrder.Language.Structure.FG.cgproof · cited by 1