There are many synonyms for the phrase "that fact," which can be used to convey the same meaning in different ways. Some examples include "the truth," "the reality," "the actuality," "the certainty," "the veracity," "the validity," and "the genuineness." These synonyms allow for variation in writing and speech, helping to avoid repetition and indicating different levels of emphasis on the information being conveyed. Whether writing a formal document, giving a presentation, or engaging in casual conversation, having a diverse vocabulary of synonyms for "that fact" can help to better express thoughts and ideas.