Theorems · Definition · measure theory

MeasureTheory.AEEqFun.const

(α : Type u_1) →
  {β : Type u_2} →
    [inst : MeasurableSpace α] → {μ : MeasureTheory.Measure α} → [inst_1 : TopologicalSpace β] → β → α →ₘ[μ] β

The equivalence class of a constant function: [fun _ : α => b], based on the equivalence relation of being almost everywhere equal

Defined in

Mathlib.MeasureTheory.Function.AEEqFun

Cited by

9 results in Mathlib

Foundations

Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceTopologicalSpace