English
A hull t ⊇ s with μ(t) = μ(s) and, under mild hypotheses, μ(t ∩ u) = μ(s ∩ u) for all measurable u.
Русский
Грубо говоря, коснёмся измеримого оболочника t, содержащего s, с μ(t)=μ(s); при некоторых условиях выполняется μ(t ∩ u) = μ(s ∩ u) для всех измеримых u.
LaTeX
$$t ⊇ s ∧ μ(t) = μ(s) ∧ (μ(t ∩ u) = μ(s ∩ u) при μ(s) ≠ ∞; далее для любых измеримых u)$$
Lean4
/-- A measurable set `t ⊇ s` such that `μ t = μ s`. It even satisfies `μ (t ∩ u) = μ (s ∩ u)` for
any measurable set `u` if `μ s ≠ ∞`, see `measure_toMeasurable_inter`.
(This property holds without the assumption `μ s ≠ ∞` when the space is s-finite -- for example
σ-finite), see `measure_toMeasurable_inter_of_sFinite`).
If `s` is a null measurable set, then
we also have `t =ᵐ[μ] s`, see `NullMeasurableSet.toMeasurable_ae_eq`.
This notion is sometimes called a "measurable hull" in the literature. -/
def toMeasurable :=
val_proj @wrapped✝.{}
