Theorems · Theorem · order theory
PredOrder.nhds_top
∀ {α : Type u_1} [inst : LinearOrder α] [inst_1 : TopologicalSpace α] [OrderTopology α] [PredOrder α] [NoMinOrder α]
[inst_5 : OrderTop α], nhds ⊤ = pure ⊤- Defined in
- Mathlib.Topology.Order.SuccPred
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Top.topstatement · cited by 9,680
- LinearOrderstatement and proof · cited by 8,572
- Filterstatement · cited by 8,121
- nhdsstatement · cited by 5,554
- OrderTopologystatement and proof · cited by 1,355
- OrderTopstatement and proof · cited by 493
- PredOrderstatement and proof · cited by 334
- NoMinOrderstatement and proof · cited by 247
- isMax_topproof · cited by 12
- PredOrder.nhds_of_isMaxproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.