Theorems · Theorem · general topology
Ultrafilter.ext
∀ {α : Type u} ⦃f g : Ultrafilter α⦄, (∀ (s : Set α), s ∈ f ↔ s ∈ g) → f = g- Defined in
- Mathlib.Order.Filter.Ultrafilter.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Ultrafilterstatement and proof · cited by 193
- Filter.extproof · cited by 60
- Ultrafilter.coe_injectiveproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- Ultrafilter.tendsto_pure_selfproof · cited by 1
- Ultrafilter.ext_iffproof · cited by 0