Theorems · Theorem · general topology
Filter.not_neBot
∀ {α : Type u} {f : Filter α}, ¬f.NeBot ↔ f = ⊥- Defined in
- Mathlib.Order.Filter.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement and proof · cited by 8,121
- Bot.botstatement · cited by 4,720
- Filter.NeBotstatement · cited by 853
- Iff.not_leftproof · cited by 49
- Filter.neBot_iffproof · cited by 27
Cited by4
Results whose statement or proof uses this declaration.
- continuousWithinAt_of_notMem_closureproof · cited by 3
- HasFDerivWithinAt.of_not_accPtproof · cited by 3
- LocallyFinite.continuousOn_iUnion'proof · cited by 2
- notMem_closure_iff_nhdsWithin_eq_botproof · cited by 1