Theorems · Theorem · general topology

Filter.HasBasis.tendsto_right_iff

∀ {α : Type u_1} {β : Type u_2} {ι' : Sort u_5} {la : Filter α} {lb : Filter β} {pb : ι' → Prop} {sb : ι' → Set β}
  {f : α → β}, lb.HasBasis pb sb → (Filter.Tendsto f la lb ↔ ∀ (i : ι'), pb i → ∀ᶠ (x : α) in la, f x ∈ sb i)

Defined in

Mathlib.Order.Filter.Bases.Basic

Cited by

81 results in Mathlib

Foundations

Depth 14 from the axioms · uses propext, Quot.sound