Theorems · Theorem · general topology
Ultrafilter.le_of_inf_neBot
∀ {α : Type u} (f : Ultrafilter α) {g : Filter α}, (↑f ⊓ g).NeBot → ↑f ≤ g- Defined in
- Mathlib.Order.Filter.Ultrafilter.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 51 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Filter.NeBotstatement and proof · cited by 853
- inf_le_leftproof · cited by 286
- Ultrafilterstatement and proof · cited by 193
- Ultrafilter.toFilterstatement and proof · cited by 172
- Ultrafilter.uniqueproof · cited by 5
- le_of_inf_eqproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- Ultrafilter.compl_notMem_iffproof · cited by 4
- Ultrafilter.le_of_inf_neBot'proof · cited by 1
- Ultrafilter.inf_neBot_iffproof · cited by 1