Theorems · Inductive type · general topology
Ctop
Type u_1 → Type u_2 → Type (max u_1 u_2)
A Ctop α σ is a realization of a topology (basis) on α,
represented by a type σ together with operations for the top element and
the intersection operation.
- Defined in
- Mathlib.Data.Analysis.Topology
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 0 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by32
Results whose statement or proof uses this declaration.
- Ctop.fstatement and proof · cited by 24
- Ctop.Realizer.Fstatement · cited by 16
- Ctop.toTopspstatement and proof · cited by 8
- Ctop.interstatement and proof · cited by 3
- Ctop.toTopsp_isTopologicalBasisstatement and proof · cited by 2
- Ctop.topstatement and proof · cited by 2
- Ctop.mem_nhds_toTopspstatement and proof · cited by 2
- Ctop.ofEquivstatement and proof · cited by 1
- Ctop.ofEquiv_valstatement and proof · cited by 1
- Ctop.top_memstatement and proof · cited by 1
- Ctop.Realizer.ext'statement and proof · cited by 1
- Ctop.Realizer.mk.injstatement and proof · cited by 1