Theorems · Theorem · general topology
Filter.le_map
∀ {α : Type u_1} {β : Type u_2} {f : Filter α} {m : α → β} {g : Filter β}, (∀ s ∈ f, m '' s ∈ g) → g ≤ Filter.map m f- Defined in
- Mathlib.Order.Filter.Map
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Quot.sound
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.
- Setstatement and proof · cited by 53,352
- Filterstatement and proof · cited by 8,121
- Set.imagestatement and proof · cited by 5,609
- Set.preimageproof · cited by 4,946
- Filter.mapstatement and proof · cited by 819
- Filter.mem_of_supersetproof · cited by 308
- Set.image_preimage_subsetproof · cited by 75
Cited by6
Results whose statement or proof uses this declaration.
- IsOpenMap.nhds_leproof · cited by 11
- Filter.le_map_iffproof · cited by 2
- ApproximatesLinearOn.map_nhds_eqproof · cited by 1
- Filter.pure_seq_eq_mapproof · cited by 1
- Filter.seq_pureproof · cited by 1
- Homeomorph.residual_map_eqproof · cited by 0