Theorems · Theorem · general topology
WithBot.tendsto_unbotA
∀ {ι : Type u_1} [inst : LinearOrder ι] [inst_1 : TopologicalSpace ι] [inst_2 : OrderTopology ι] [inst_3 : Nonempty ι]
{a : WithBot ι}, a ≠ ⊥ → Filter.Tendsto WithBot.unbotA (nhds a) (nhds a.unbotA)- Defined in
- Mathlib.Topology.Order.WithTop
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- nhdsstatement · cited by 5,554
- Bot.botstatement and proof · cited by 4,720
- Filter.Tendstostatement · cited by 3,814
- WithBotstatement and proof · cited by 1,498
- OrderTopologystatement and proof · cited by 1,355
- Classical.arbitraryproof · cited by 161
- WithBot.unbotAstatement · cited by 10
- WithBot.tendsto_unbotDproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- WithBot.tendsto_unbotproof · cited by 1