Theorems · Theorem · general topology

Metric.hausdorffEDist_prod_le

∀ {α : Type u} {β : Type v} [inst : PseudoEMetricSpace α] [inst_1 : PseudoEMetricSpace β] {s₁ t₁ : Set α}
  {s₂ t₂ : Set β},
  Metric.hausdorffEDist (s₁ ×ˢ s₂) (t₁ ×ˢ t₂) ≤ max (Metric.hausdorffEDist s₁ t₁) (Metric.hausdorffEDist s₂ t₂)

Defined in

Mathlib.Topology.MetricSpace.HausdorffDistance

Cited by

4 results in Mathlib

Foundations

Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PseudoEMetricSpacePseudoEMetricSpace