Theorems · Theorem · general topology
Topology.IsLower.topology_eq_lowerTopology
∀ {α : Type u_3} {t : TopologicalSpace α} {inst : Preorder α} [self : Topology.IsLower α], t = Topology.lower α- Cited by
- 2 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
- Assumes
- Topology.IsLower
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Preorderstatement and proof · cited by 7,952
- Topology.IsLowerstatement and proof · cited by 24
- Topology.lowerstatement · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- Topology.IsLower.topology_eqproof · cited by 5
- Topology.IsLower.tendsto_nhds_iff_not_leproof · cited by 1