Theorems · Theorem · real analysis

LocallyBoundedVariationOn.ofDual

∀ {α : Type u_1} [inst : LinearOrder α] {E : Type u_2} [inst_1 : PseudoEMetricSpace E] {f : α → E} {s : Set α},
  LocallyBoundedVariationOn f s → LocallyBoundedVariationOn (f ∘ ⇑OrderDual.ofDual) (⇑OrderDual.ofDual ⁻¹' s)

Defined in

Mathlib.Topology.EMetricSpace.BoundedVariation

Cited by

2 results in Mathlib

Foundations

Depth 156 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LinearOrderPseudoEMetricSpace