Theorems · Theorem · logic and foundations
FirstOrder.Language.Substructure.cg_closure_singleton
∀ {L : FirstOrder.Language} {M : Type u_1} [inst : L.Structure M] (x : M),
((FirstOrder.Language.Substructure.closure L).toFun {x}).CG- Defined in
- Mathlib.ModelTheory.FinitelyGenerated
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- SetLike.coestatement · cited by 8,199
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- FirstOrder.Language.Substructurestatement · cited by 242
- LowerAdjoint.toFunstatement · cited by 105
- FirstOrder.Language.Substructure.closurestatement · cited by 70
- FirstOrder.Language.Substructure.CGstatement · cited by 18
- FirstOrder.Language.Substructure.fg_closure_singletonproof · cited by 4
- FirstOrder.Language.Substructure.FG.cgproof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.