Read the text and determine if the sentence is true:

In mathematics, the Vitali–Carathéodory theorem is a result in real analysis that shows that, under the conditions stated below, integrable functions can be approximated in L from above and below by lower- and upper-semicontinuous functions, respectively. It is named after Giuseppe Vitali and Constantin Carathéodory.

Sentence: the Vitali–Carathéodory theorem is a solution in real analysis 