Theorems · Theorem · general topology
Filter.map_snd_prod
∀ {α : Type u_1} {β : Type u_2} (f : Filter α) (g : Filter β) [f.NeBot], Filter.map Prod.snd (f ×ˢ g) = g- Defined in
- Mathlib.Order.Filter.Prod
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Filter.NeBot
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- SProd.sprodstatement · cited by 1,750
- Filter.NeBotstatement and proof · cited by 853
- Filter.mapstatement and proof · cited by 819
- Filter.map_mapproof · cited by 80
- Filter.prod_commproof · cited by 7
- Filter.map_fst_prodproof · cited by 5
Cited by5
Results whose statement or proof uses this declaration.
- Cauchy.prodproof · cited by 4
- Filter.prod_le_prodproof · cited by 2
- asymptoticCone_eq_closure_of_forall_smul_memproof · cited by 1
- AffineSpace.asymptoticNhds_bind_asymptoticNhdsproof · cited by 1
- CompleteSpace.snd_of_prodproof · cited by 1