Theorems · Theorem · general topology
EReal.nhdsWithin_bot
nhdsWithin ⊥ {⊥}ᶜ = Filter.map Real.toEReal Filter.atBot- Defined in
- Mathlib.Topology.Instances.EReal.Lemmas
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Top.topproof · cited by 9,680
- Filterstatement · cited by 8,121
- Bot.botstatement and proof · cited by 4,720
- Compl.complstatement and proof · cited by 2,925
- nhdsWithinstatement · cited by 1,912
- Set.Iicproof · cited by 1,111
- Set.Iocproof · cited by 971
- Filter.mapstatement · cited by 819
- ERealstatement and proof · cited by 793
- Filter.atBotstatement · cited by 512
Cited by1
Results whose statement or proof uses this declaration.
- EReal.tendsto_toReal_atBotproof · cited by 0