Theorems · Theorem · measure theory

MeasureTheory.SimpleFunc.measure_support_lt_top

∀ {α : Type u_1} {β : Type u_2} {m : MeasurableSpace α} [inst : Zero β] {μ : MeasureTheory.Measure α}
  (f : MeasureTheory.SimpleFunc α β), (∀ (y : β), y ≠ 0 → μ (⇑f ⁻¹' {y}) < ⊤) → μ (Function.support ⇑f) < ⊤

Defined in

Mathlib.MeasureTheory.Function.SimpleFunc

Cited by

3 results in Mathlib

Foundations

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

Assumes

Zero