interior_ae_eq_of_null_frontier — Mathlib

English

The OpensMeasurableSpace structure on the product is established (satisfying the necessary measurability conditions).

Русский

Структура OpensMeasurableSpace на произведении существует и удовлетворяет условиям измеримости.

LaTeX

$$$\\text{OpensMeasurableSpace}(\\alpha \\times \\beta)$.$$

Lean4

theorem interior_ae_eq_of_null_frontier {μ : Measure α'} {s : Set α'} (h : μ (frontier s) = 0) : interior s =ᵐ[μ] s :=
  interior_subset.eventuallyLE.antisymm <| subset_closure.eventuallyLE.trans (ae_le_set.2 h)

Похожие утверждения