Theorems · Theorem · measure theory

MeasureTheory.Measure.restrict_biUnion_le

∀ {α : Type u_2} {ι : Type u_6} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} {s : ι → Set α} {T : Set ι},
  Countable ↑T → μ.restrict (⋃ i ∈ T, s i) ≤ MeasureTheory.Measure.sum fun i => μ.restrict (s ↑i)

Defined in

Mathlib.MeasureTheory.Measure.Restrict

Cited by

1 results in Mathlib

Foundations

Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound