Theorems · Theorem · general topology
Ultrafilter.isAtom
∀ {α : Type u} (f : Ultrafilter α), IsAtom ↑f- Defined in
- Mathlib.Order.Filter.Ultrafilter.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 51 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.
- Filterstatement and proof · cited by 8,121
- Bot.botproof · cited by 4,720
- LT.lt.leproof · cited by 2,189
- LT.lt.neproof · cited by 872
- Ultrafilterstatement and proof · cited by 193
- Ultrafilter.toFilterstatement and proof · cited by 172
- IsAtomstatement · cited by 130
- by_contraproof · cited by 60
- Filter.NeBot.neproof · cited by 17
- Ultrafilter.uniqueproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Filter.isAtom_pureproof · cited by 3