Theorems · Theorem · measure theory

MeasureTheory.SimpleFunc.mem_restrict_range

∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] [inst_1 : Zero β] {r : β} {s : Set α}
  {f : MeasureTheory.SimpleFunc α β}, MeasurableSet s → (r ∈ (f.restrict s).range ↔ r = 0 ∧ s ≠ Set.univ ∨ r ∈ ⇑f '' s)

Defined in

Mathlib.MeasureTheory.Function.SimpleFunc

Cited by

1 results in Mathlib

Foundations

Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceZero