Theorems · Theorem · general topology
Filter.smallSets_comap_eq_comap_image
∀ {α : Type u_1} {β : Type u_2} (l : Filter β) (f : α → β),
(Filter.comap f l).smallSets = Filter.comap (Set.image f) l.smallSets- Defined in
- Mathlib.Order.Filter.SmallSets
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Filterstatement and proof · cited by 8,121
- Set.imagestatement and proof · cited by 5,609
- Filter.principalproof · cited by 740
- Filter.comapstatement · cited by 546
- Filter.smallSetsstatement · cited by 89
- Filter.bindproof · cited by 23
- Filter.map_principalproof · cited by 17
- Filter.gc_map_comapproof · cited by 12
- GaloisConnection.u_comm_of_l_commproof · cited by 2
- Filter.bind_smallSets_gcproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Bornology.isVonNBounded_pi_iffproof · cited by 1