comp — Mathlib

English

Primed form of the integral-sub lemma for the product kernel, comparing integrals of f and g via subtraction inside the inner integral.

Русский

Примированный вариант леммы про интеграл-вычитание для произведённого ядра.

LaTeX

$$$\int f - g = \int f - \int g$$$

Lean4

theorem _root_.MeasureTheory.AEStronglyMeasurable.comp {δ : Type*} [TopologicalSpace δ] {f : γ → δ}
    (hf : AEStronglyMeasurable f ((η ∘ₖ κ) a)) : ∀ᵐ x ∂κ a, AEStronglyMeasurable f (η x) := by
  filter_upwards [ae_ae_of_ae_comp hf.ae_eq_mk] with x hx using ⟨hf.mk f, hf.stronglyMeasurable_mk, hx⟩

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