Theorems · Definition · general topology
Filter.seq
{α : Type u_1} → {β : Type u_2} → Filter (α → β) → Filter α → Filter βThe applicative sequentiation operation. This is not induced by the bind operation.
- Defined in
- Mathlib.Order.Filter.Defs
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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.ofPredproof · cited by 6,101
Cited by15
Results whose statement or proof uses this declaration.
- Filter.pure_prodproof · cited by 10
- Filter.seq_mem_seqstatement · cited by 6
- Filter.le_seqstatement and proof · cited by 5
- Filter.prod_eqstatement · cited by 3
- Filter.seq_monostatement · cited by 2
- Filter.mem_seq_iffstatement · cited by 2
- Filter.map_prodstatement · cited by 2
- Filter.seq_eq_filter_seqstatement · cited by 1
- Filter.seq_purestatement and proof · cited by 1
- Filter.pure_seq_eq_mapstatement and proof · cited by 1
- List.tendsto_cons_iffproof · cited by 1
- Filter.seq_assocstatement and proof · cited by 0