Theorems · Theorem · general topology
Ultrafilter.eq_of_le
∀ {α : Type u} {f g : Ultrafilter α}, ↑f ≤ ↑g → f = g- Defined in
- Mathlib.Order.Filter.Ultrafilter.Defs
- Cited by
- 3 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement · cited by 8,121
- Ultrafilterstatement and proof · cited by 193
- Ultrafilter.toFilterstatement and proof · cited by 172
- Ultrafilter.coe_injectiveproof · cited by 8
- Ultrafilter.uniqueproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- Ultrafilter.eq_pure_of_finite_memproof · cited by 2
- Ultrafilter.coe_le_coeproof · cited by 2
- Ultrafilter.ofComapInfPrincipal_eq_of_mapproof · cited by 0