Theorems · Definition · measure theory

MeasureTheory.AEEqFun.cast

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

Coercion from a space of equivalence classes of almost everywhere strongly measurable functions to functions. We ensure that if f has a constant representative, then we choose that one.

Defined in

Mathlib.MeasureTheory.Function.AEEqFun

Cited by

380 results in Mathlib

Foundations

Depth 176 from the axioms, rests on 4,671 definitions · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceTopologicalSpace