hold true

hold true (third-person singular simple present holds true, present participle holding true, simple past and past participle held true)

1. (intransitive) To be or remain true, valid or applicable; to apply.
   • 1919, Boris Sidis, The Source and Aim of Human Progress:

     However the case may be with societies under widely different conditions of development, the law of mass and individuality holds true of the social facts known to us.

• hold water