Theorems · Definition · general topology
Ultrafilter.ofComapInfPrincipal
{α : Type u} → {β : Type v} → {m : α → β} → {s : Set α} → {g : Ultrafilter β} → m '' s ∈ g → Ultrafilter αUltrafilter extending the inf of a comapped ultrafilter and a principal ultrafilter.
- Defined in
- Mathlib.Order.Filter.Ultrafilter.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, 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.
- Setstatement and proof · cited by 53,352
- Set.imagestatement and proof · cited by 5,609
- Filter.principalproof · cited by 740
- Filter.comapproof · cited by 546
- Ultrafilterstatement and proof · cited by 193
- Ultrafilter.toFilterproof · cited by 172
- Ultrafilter.ofproof · cited by 15
Cited by2
Results whose statement or proof uses this declaration.
- Ultrafilter.ofComapInfPrincipal_eq_of_mapstatement · cited by 0
- Ultrafilter.ofComapInfPrincipal_memstatement · cited by 0