nullMeasurableSet_compl_support — Mathlib

English

Under OpensMeasurableSpace, the complement of the support is null-measurable.

Русский

При открытых измеримых пространствах дополнение опоры является нулеметриуемым.

LaTeX

$$NullMeasurableSet(\\mathrm{supp}(\\mu)^{c}, \\mu)$$

Lean4

/-- Under the assumption `OpensMeasurableSpace`, this is redundant because
the complement of the support is open, and therefore measurable. -/
theorem nullMeasurableSet_compl_support : NullMeasurableSet (μ.supportᶜ) μ :=
  NullMeasurableSet.of_null measure_compl_support

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