The phrase "without omission" suggests that nothing has been left out or neglected. There are several synonyms for this phrase that convey a similar meaning. One such synonym is "completely," which means that all aspects or elements have been included. Another synonym is "thoroughly," which implies that a task or process has been done in great detail and with meticulous attention. "Entirely" is another synonym that conveys the idea of completeness and leaving nothing out. "Fully" is also a synonym for "without omission," indicating something that has been done to its maximum capacity. In summary, all of these words share a common meaning of completeness and thoroughness, leaving nothing out.