Theorems · Theorem · general topology
Filter.nhds_bot
∀ {α : Type u_2}, nhds ⊥ = pure ⊥- Defined in
- Mathlib.Topology.Filter
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement · cited by 8,121
- nhdsstatement · cited by 5,554
- Bot.botstatement and proof · cited by 4,720
- Set.Iicproof · cited by 1,111
- Filter.principalproof · cited by 740
- Filter.principal_singletonproof · cited by 31
- Filter.monotone_principalproof · cited by 20
- Filter.principal_emptyproof · cited by 19
- Set.Iic_botproof · cited by 7
- Monotone.Iicproof · cited by 6
- Filter.nhds_eqproof · cited by 6
- Filter.lift'_botproof · cited by 3
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