Theorems · Definition · general topology
Filter.Realizer.map
{α : Type u_1} → {β : Type u_2} → (m : α → β) → {f : Filter α} → f.Realizer → (Filter.map m f).RealizerConstruct a realizer for map m f given a realizer for f
- Defined in
- Mathlib.Data.Analysis.Filter
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Set.imageproof · cited by 5,609
- Filter.mapstatement · cited by 819
- Filter.Realizer.σproof · cited by 18
- CFilter.fproof · cited by 16
- Filter.Realizerstatement and proof · cited by 13
- Filter.Realizer.Fproof · cited by 12
- CFilter.infproof · cited by 2
- CFilter.ptproof · cited by 0
Cited by3
Results whose statement or proof uses this declaration.
- Filter.Realizer.tendsto_iffproof · cited by 1
- Filter.Realizer.map_σstatement · cited by 0
- Filter.Realizer.map_Fstatement and proof · cited by 0