Theorems · Theorem · general topology

Metric.IsCover.image_lipschitz

∀ {X : Type u_1} {Y : Type u_2} [inst : PseudoEMetricSpace X] [inst_1 : PseudoEMetricSpace Y] {f : X → Y} {s N : Set X}
  {ε K₂ : NNReal}, Metric.IsCover ε s N → LipschitzWith K₂ f → Metric.IsCover (K₂ * ε) (f '' s) (f '' N)

Defined in

Mathlib.Topology.MetricSpace.Cover

Cited by

2 results in Mathlib

Foundations

Depth 148 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PseudoEMetricSpacePseudoEMetricSpace