Theorems · Theorem · general topology
Ctop.toTopsp_isTopologicalBasis
∀ {α : Type u_1} {σ : Type u_3} (F : Ctop α σ), TopologicalSpace.IsTopologicalBasis (Set.range F.f)- Defined in
- Mathlib.Data.Analysis.Topology
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.rangestatement and proof · cited by 4,705
- TopologicalSpace.IsTopologicalBasisstatement · cited by 126
- Set.eq_univ_iff_forallproof · cited by 93
- Ctop.fstatement and proof · cited by 24
- Ctopstatement and proof · cited by 14
- Ctop.toTopspstatement · cited by 8
- Ctop.interproof · cited by 3
- Ctop.topproof · cited by 2
- Ctop.top_memproof · cited by 1
- Ctop.inter_memproof · cited by 1
- Ctop.inter_subproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Ctop.mem_nhds_toTopspproof · cited by 2
- Ctop.Realizer.is_basisproof · cited by 0