By declaration, can be replaced with a variety of synonyms depending on the context. Some common synonyms for this phrase include "officially stated," "announced," "pronounced," "proclaimed," "asserted," "affirmed," and "stipulated." These phrases all indicate a formal declaration or proclamation of something, often by a respected authority figure or institution. They are commonly used in legal or governmental contexts to indicate a formal statement or order. By declaration can also be replaced with "by decree," "by edict," "by mandate," or "by order." All of these phrases convey a similar sense of authority and official pronouncement.