Theorems · Theorem · logic and foundations
FirstOrder.Language.Substructure.FG.cg
∀ {L : FirstOrder.Language} {M : Type u_1} [inst : L.Structure M] {N : L.Substructure M}, N.FG → N.CG- Defined in
- Mathlib.ModelTheory.FinitelyGenerated
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Set.Finiteproof · cited by 1,814
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- FirstOrder.Language.Substructurestatement and proof · cited by 242
- LowerAdjoint.toFunproof · cited by 105
- FirstOrder.Language.Substructure.closureproof · cited by 70
- FirstOrder.Language.Substructure.FGstatement and proof · cited by 34
- Set.Finite.countableproof · cited by 30
- FirstOrder.Language.Substructure.CGstatement · cited by 18
- FirstOrder.Language.Substructure.fg_defproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- FirstOrder.Language.Structure.FG.cgproof · cited by 1
- FirstOrder.Language.Substructure.cg_botproof · cited by 0
- FirstOrder.Language.Substructure.cg_closure_singletonproof · cited by 0