trivially true

adjective phrase

1. True in an obvious or very simple way, often because it follows directly from a definition or an assumption.

   B2

   formal

   • "The statement 'All bachelors are unmarried' is trivially true."B2
   • "Once the definitions are established, the first part of the theorem is trivially true."B2
   • "The claim is trivially true under the stated assumptions, so the proof focuses on the more difficult case."C1