formalize

verb

Etymology: Etymology tree English formal Proto-Indo-European *-id- Proto-Indo-European *-yéti Proto-Indo-European *-idyéti Proto-Hellenic *-íďďō Ancient Greek -ῐ́ζω (-ĭ́zō)bor. Late Latin -izōder. Middle French -iserbor. Middle English -isen English -ize English formalize From formal + -ize.

1. To give something a definite form; to shape.
2. To develop into a definite form.

   “We have more fun and exciting fundraisers planned, and we're trying to carefully budget them so they don't cut into your life savings. As they formalize, we'll widely publicize these events.”

3. To give something a formal or official standing.
4. To act with formality.
5. To rigorously prove a mathematical result.