Theorems · Theorem · general topology
Filter.mem_map_seq_iff
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {f : Filter α} {g : Filter β} {m : α → β → γ} {s : Set γ},
s ∈ (Filter.map m f).seq g ↔ ∃ t u, t ∈ g ∧ u ∈ f ∧ ∀ x ∈ u, ∀ y ∈ t, m x y ∈ s- Defined in
- Mathlib.Order.Filter.Map
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
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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.imageproof · cited by 5,609
- Set.preimageproof · cited by 4,946
- Filter.mapstatement and proof · cited by 819
- Filter.image_mem_mapproof · cited by 39
- Filter.seqstatement and proof · cited by 15
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