Mathlib Map

Theorems · Theorem · general topology

Metric.ediam_triple

∀ {X : Type u_2} {x y z : X} [inst : PseudoEMetricSpace X],
  Metric.ediam {x, y, z} = max (max (edist x y) (edist x z)) (edist y z)
Defined in
Mathlib.Topology.EMetricSpace.Diam
Cited by
2 results in Mathlib
Foundations
Depth 152 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PseudoEMetricSpace

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites10

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.