Theorems · Theorem · measure theory

MeasureTheory.TendstoInMeasure.congr

∀ {α : Type u_1} {ι : Type u_2} {E : Type u_4} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} [inst : EDist E]
  {l : Filter ι} {f f' : ι → α → E} {g g' : α → E},
  (∀ (i : ι), f i =ᵐ[μ] f' i) →
    g =ᵐ[μ] g' → MeasureTheory.TendstoInMeasure μ f l g → MeasureTheory.TendstoInMeasure μ f' l g'

Defined in

Mathlib.MeasureTheory.Function.ConvergenceInMeasure

Cited by

4 results in Mathlib

Foundations

Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

EDist