Theorems · Theorem · general topology
Filter.prod_map_seq_comm
∀ {α : Type u_1} {β : Type u_2} (f : Filter α) (g : Filter β),
(Filter.map Prod.mk f).seq g = (Filter.map (fun b a => (a, b)) g).seq f- Defined in
- Mathlib.Order.Filter.Map
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, 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
- le_reflproof · cited by 2,061
- Filter.mapstatement and proof · cited by 819
- Filter.image_mem_mapproof · cited by 39
- Filter.seqstatement and proof · cited by 15
- Filter.seq_mem_seqproof · cited by 6
- Filter.mem_map_iff_exists_imageproof · cited by 6
- Filter.le_seqproof · cited by 5
- Set.seq_monoproof · cited by 4
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.