Theorems · Definition · general topology
Topology.WithLower
Type u_1 → Type u_1
Type synonym for a preorder equipped with the lower set topology.
- Cited by
- 15 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 by20
Results whose statement or proof uses this declaration.
- Topology.WithLower.toLowerstatement · cited by 10
- Topology.WithLower.ofLowerstatement and proof · cited by 9
- Topology.IsLower.withLowerHomeomorphstatement · cited by 1
- Topology.WithLower.ofLower_toLowerstatement · cited by 0
- Topology.WithLower.recstatement and proof · cited by 0
- Topology.WithLower.toDualHomeomorphstatement · cited by 0
- Topology.WithLower.toLower_injstatement · cited by 0
- Topology.WithLower.toLower_le_toLowerstatement · cited by 0
- Topology.WithLower.toLower_lt_toLowerstatement · cited by 0
- Topology.WithLower.toLower_ofLowerstatement and proof · cited by 0
- Topology.WithLower.toLower_symmstatement · cited by 0
- Topology.lawsonClosed_of_lowerClosedstatement · cited by 0