The term 'Mathematically Validated' can be summarized as having been PROVEN to be true through the use of mathematics. This means that the validity of a statement or concept has been tested and verified using mathematical principles and calculations. This is often used in scientific research, engineering, and other fields where accuracy and precision are essential. The crossword solution for this term is 'PROVEN, ' which indicates that the statement or concept has been tested and found to be true.