Theorems · Theorem · real analysis

eVariationOn.edist_le

∀ {α : Type u_1} [inst : LinearOrder α] {E : Type u_2} [inst_1 : PseudoEMetricSpace E] (f : α → E) {s : Set α}
  {x y : α}, x ∈ s → y ∈ s → edist (f x) (f y) ≤ eVariationOn f s

Defined in

Mathlib.Topology.EMetricSpace.BoundedVariation

Cited by

7 results in Mathlib

Foundations

Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LinearOrderPseudoEMetricSpace