That’s not the primary definition.Here's a dectionary definition of truth for you:
"that which is true or in accordance with fact or reality." https://www.google.com/search?q=truth definition&oq=truth definition&aqs=chrome..69i57j0l5.8039j1j7&sourceid=chrome&ie=UTF-8Which is exactly what I said.
A fact can be proven to be true, or false.
The truth the quality or state of being true, meaning it is perfectly true.
The definition you decided upon is, based on what one believes, in accordance with what is proposed to be a fact, in connection with a perceived truth and reality.
Heavily inferior.