Theorems · Theorem · measure theory

MeasureTheory.SimpleFunc.map_preimage_singleton

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : MeasurableSpace α] (f : MeasureTheory.SimpleFunc α β) (g : β → γ)
  (c : γ), ⇑(MeasureTheory.SimpleFunc.map g f) ⁻¹' {c} = ⇑f ⁻¹' ↑({b ∈ f.range | g b = c})

Defined in

Mathlib.MeasureTheory.Function.SimpleFunc

Cited by

2 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpace