Theorems · Theorem · general topology

AntilipschitzWith.isBounded_preimage

∀ {α : Type u_1} {β : Type u_2} [inst : PseudoMetricSpace α] [inst_1 : PseudoMetricSpace β] {K : NNReal} {f : α → β},
  AntilipschitzWith K f → ∀ {s : Set β}, Bornology.IsBounded s → Bornology.IsBounded (f ⁻¹' s)

Defined in

Mathlib.Topology.MetricSpace.Antilipschitz

Cited by

6 results in Mathlib

Foundations

Depth 154 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PseudoMetricSpacePseudoMetricSpace