Linked from

The 5 pages that link to Vitali covering theorem, each with the reason it gives.

• Lebesgue differentiation theoremRelated: Covering estimates underpin maximal inequalities used to prove differentiation.

• Lebesgue density theoremRelated: Covering arguments underpin maximal inequalities used to prove density results.

• Denjoy–Luzin theoremRelated: Interval coverings support measure estimates used in classical arguments about derivatives and exceptional points.