Theorems · Theorem · general topology

Bornology.comap_cobounded_le_iff

∀ {α : Type u_2} {β : Type u_3} {x : Bornology α} [inst : Bornology β] {f : α → β},
  Filter.comap f (Bornology.cobounded β) ≤ Bornology.cobounded α ↔
    ∀ ⦃s : Set α⦄, Bornology.IsBounded s → Bornology.IsBounded (f '' s)

Defined in

Mathlib.Topology.Bornology.Basic

Cited by

1 results in Mathlib

Foundations

Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

Bornology