Theorems · Theorem · general topology
Filter.seq_pure
∀ {α : Type u_1} {β : Type u_2} (f : Filter (α → β)) (a : α), f.seq (pure a) = Filter.map (fun g => g a) f- Defined in
- Mathlib.Order.Filter.Map
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Filterstatement and proof · cited by 8,121
- Set.imageproof · cited by 5,609
- le_antisymmproof · cited by 2,068
- Filter.mapstatement and proof · cited by 819
- Filter.image_mem_mapproof · cited by 39
- Filter.seqstatement and proof · cited by 15
- Filter.sets_of_supersetproof · cited by 14
- Filter.seq_mem_seqproof · cited by 6
- Filter.le_mapproof · cited by 6
- Filter.le_seqproof · cited by 5
- Filter.singleton_mem_pureproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Filter.prod_pureproof · cited by 30