Synonyms to that be

actual, absolute, admitting no question, as is, ascertained, attested, authentic, authenticated, being, bona fide, categorically true, certain, certified, commonplace, concrete, confirmable, confirmed, contemporaneous, contemporary, corroborated, current, de facto, demonstrable, demonstratable, demonstrated, determined, documentary, effectual, established, everyday, existent, existing, extant, factual, for real, fresh, genuine, hard, historical, honest-to-God, immanent, immediate, inappealable, incontestable, incontrovertible, indisputable, indubitable, instant, irrefragable, irrefutable, latest, legitimate, manifest, material, modern, new, not in error, objective, objectively true, ordinary, phenomenal, physical, positive, present, present-age, present-day, present-time, provable, proved, real, realistic, realized, routine, running, self-evident, solid, substantial, substantiated, sure-enough, tangible, testable, that is, topical, true, true as gospel, true to life, truthful, unanswerable, unconfutable, unconfuted, undeniable, undenied, undoubted, unerroneous, unfallacious, unfalse, unimpeachab