Theorems · Theorem · general topology

Filter.mem_seq_iff

∀ {α : Type u_1} {β : Type u_2} {f : Filter (α → β)} {g : Filter α} {s : Set β},
  s ∈ f.seq g ↔ ∃ u ∈ f, ∃ t ∈ g, u.seq t ⊆ s

Defined in

Mathlib.Order.Filter.Map

Cited by

2 results in Mathlib

Foundations

Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound