Theorems · Inductive type · general topology
ClopenUpperSet
(α : Type u_2) → [TopologicalSpace α] → [LE α] → Type u_2
The type of clopen upper sets of a topological space.
- Defined in
- Mathlib.Topology.Sets.Order
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- TopologicalSpaceLE
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement · cited by 24,529
Cited by23
Results whose statement or proof uses this declaration.
- ClopenUpperSet.toClopensstatement and proof · cited by 2
- ClopenUpperSet.mk.injstatement · cited by 1
- ClopenUpperSet.mk.noConfusionstatement · cited by 1
- ClopenUpperSet.extstatement and proof · cited by 1
- ClopenUpperSet.toUpperSetstatement and proof · cited by 1
- ClopenUpperSet.upper'statement and proof · cited by 1
- ClopenUpperSet.Simps.coestatement and proof · cited by 0
- ClopenUpperSet.mk.injEqstatement · cited by 0
- ClopenUpperSet.mk.sizeOf_specstatement · cited by 0
- ClopenUpperSet.casesOnstatement and proof · cited by 0
- ClopenUpperSet.coe_botstatement · cited by 0
- ClopenUpperSet.coe_infstatement and proof · cited by 0