Theorems · Theorem · measure theory

MeasureTheory.SimpleFunc.finMeasSupp_iff

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

Defined in

Mathlib.MeasureTheory.Function.SimpleFunc

Cited by

6 results in Mathlib

Foundations

Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

Zero