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Rewrite under integrals #24

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RemyDegenne opened this issue May 7, 2024 · 0 comments
Open

Rewrite under integrals #24

RemyDegenne opened this issue May 7, 2024 · 0 comments

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@RemyDegenne
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We often want to rewrite inside lintegral/integral, but for equalities almost everywhere. The way to do that now is the following:

example {α β : Type*} {mα : MeasurableSpace α} {μ : Measure α}
    {f₁ f₂ : α → β} {g : β → ℝ≥0∞} (h : f₁ =ᵐ[μ] f₂) :
    ∫⁻ x, g (f₁ x) ∂μ = ∫⁻ x, g (f₂ x) ∂μ := by
  refine lintegral_congr_ae ?_
  filter_upwards [h] with x hx
  rw [hx]

Can we write a rw_ae tactic that does the rewrite in one line?

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