Theorems · Theorem · measure theory

MeasureTheory.measure_preimage_eq_zero_iff_of_countable

∀ {α : Type u_1} {β : Type u_2} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} {s : Set β} {f : α → β},
  s.Countable → (μ (f ⁻¹' s) = 0 ↔ ∀ x ∈ s, μ (f ⁻¹' {x}) = 0)

Defined in

Mathlib.MeasureTheory.Measure.MeasureSpace

Cited by

0 results in Mathlib

Foundations

Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound