be trivially true

/biː ˈtrɪviəli truː/

verb phrase

  1. To be obviously true or true simply because of the definitions, rules, or facts involved, so that no detailed proof or explanation is needed.

    B2

    usually followed by an adjective, noun phrase, or that-clause

    • "The statement 'All bachelors are unmarried' is trivially true."B2
    • "The statement that one plus one equals two is trivially true."B1
    • "Given the definition of continuity, the first implication is trivially true."C1

Collocations

trivially true statementtrivially true propositionit is trivially true that

Word family

trivialtriviallytriviality