Theorems · Theorem · measure theory

MeasureTheory.VectorMeasure.nonpos_of_restrict_le_zero

∀ {α : Type u_1} {m : MeasurableSpace α} {M : Type u_3} [inst : TopologicalSpace M] [inst_1 : AddCommMonoid M]
  [inst_2 : PartialOrder M] (v : MeasureTheory.VectorMeasure α M) {i : Set α},
  v.restrict i ≤ MeasureTheory.VectorMeasure.restrict 0 i → v i ≤ 0

Defined in

Mathlib.MeasureTheory.VectorMeasure.Basic

Cited by

2 results in Mathlib

Foundations

Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceAddCommMonoidPartialOrder