Theorems · Definition · general topology
Ultrafilter.map
{α : Type u} → {β : Type v} → (α → β) → Ultrafilter α → Ultrafilter βPushforward for ultrafilters.
- Defined in
- Mathlib.Order.Filter.Ultrafilter.Defs
- Cited by
- 26 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, 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.
- Filter.mapproof · cited by 819
- Ultrafilterstatement and proof · cited by 193
- Ultrafilter.toFilterproof · cited by 172
- Ultrafilter.ofComplNotMemIffproof · cited by 0
Cited by26
Results whose statement or proof uses this declaration.
- IsCompact.prodproof · cited by 26
- IsProperMap.isCompact_preimageproof · cited by 12
- IsProperMap.prodMapproof · cited by 7
- Ultrafilter.coe_mapstatement · cited by 5
- IsAddFoelner.tendsto_nhds_meanproof · cited by 3
- isCompact_setOfPred_finiteMeasure_le_of_compactSpaceproof · cited by 3
- IsFoelner.tendsto_nhds_meanproof · cited by 3
- isCompact_pi_infiniteproof · cited by 3
- isCompact_setOfPred_finiteMeasure_mass_le_compl_isCompact_leproof · cited by 2
- denseRange_pureproof · cited by 2
- continuous_ultrafilter_extendproof · cited by 2
- Compactum.str_eq_of_le_nhdsproof · cited by 2