Theorems · Theorem · logic and foundations
FirstOrder.Language.Substructure.coe_top
∀ {L : FirstOrder.Language} {M : Type w} [inst : L.Structure M], ↑⊤ = Set.univ- Defined in
- Mathlib.ModelTheory.Substructures
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
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.
- Setstatement · cited by 53,352
- Top.topstatement · cited by 9,680
- SetLike.coestatement · cited by 8,199
- Set.univstatement · cited by 3,945
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- FirstOrder.Language.Substructurestatement · cited by 242
Cited by2
Results whose statement or proof uses this declaration.
- FirstOrder.Language.Hom.range_eq_topproof · cited by 2
- FirstOrder.Language.Substructure.closure_univproof · cited by 0