Theorems · Definition · general topology

LocallyBoundedMap.ofMapBounded

{α : Type u_2} →
  {β : Type u_3} →
    [inst : Bornology α] →
      [inst_1 : Bornology β] →
        (f : α → β) → (∀ ⦃s : Set α⦄, Bornology.IsBounded s → Bornology.IsBounded (f '' s)) → LocallyBoundedMap α β

Construct a LocallyBoundedMap from the fact that the function maps bounded sets to bounded sets.

Defined in

Mathlib.Topology.Bornology.Hom

Cited by

2 results in Mathlib

Foundations

Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

BornologyBornology