Theorems · Theorem · order theory
SuccOrder.nhds_bot
∀ {α : Type u_1} [inst : LinearOrder α] [inst_1 : TopologicalSpace α] [OrderTopology α] [SuccOrder α] [NoMaxOrder α]
[inst_5 : OrderBot 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
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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
- LinearOrderstatement and proof · cited by 8,572
- Filterstatement · cited by 8,121
- nhdsstatement · cited by 5,554
- Bot.botstatement · cited by 4,720
- OrderTopologystatement and proof · cited by 1,355
- OrderBotstatement and proof · cited by 1,055
- SuccOrderstatement and proof · cited by 574
- NoMaxOrderstatement and proof · cited by 340
- isMin_botproof · cited by 15
- SuccOrder.nhds_of_isMinproof · cited by 2
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