congr — Mathlib

English

Protected form showing TendstoInMeasure is preserved under almost everywhere equalities with explicit h_left/h_right hypothesis.

Русский

Защитенная форма, показывающая сохранение TendstoInMeasure при почти всюду равенствах с конкретными предположениями h_left/h_right.

LaTeX

$$TendstoInMeasure.congr' (h_left) (h_right) (h_tendsto) : TendstoInMeasure μ f l g → …$$

Lean4

protected theorem congr (h_left : ∀ i, f i =ᵐ[μ] f' i) (h_right : g =ᵐ[μ] g') (h_tendsto : TendstoInMeasure μ f l g) :
    TendstoInMeasure μ f' l g' :=
  TendstoInMeasure.congr' (Eventually.of_forall h_left) h_right h_tendsto

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