Theorems · Theorem · general topology
Filter.mem_comap_iff
∀ {α : Type u_1} {β : Type u_2} {f : Filter β} {m : α → β},
Function.Injective m → Set.range m ∈ f → ∀ {S : Set α}, S ∈ Filter.comap m f ↔ m '' S ∈ f- Defined in
- Mathlib.Order.Filter.Map
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, 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.rangestatement and proof · cited by 4,705
- Filter.comapstatement · cited by 546
- Filter.map_comap_of_memproof · cited by 9
- Filter.image_mem_map_iffproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Ultrafilter.mem_comapproof · cited by 0