it is trivially true that

/ɪt ɪz ˈtrɪviəli truː ðæt/

phrase

  1. Used to say that a statement is true in an obvious, simple, or uninformative way; in logic and mathematics, true for a trivial reason, such as by definition or because the condition never applies.

    C1

    [+ that clause]formal; especially in logic, mathematics, and argument

    • "It is trivially true that a triangle has three sides."B2
    • "It is trivially true that the policy helps some people, but that does not prove it is fair."C1
    • "In formal logic, a conditional with a false antecedent is trivially true."C2

Common mistakes

  • It is trivial true that...→It is trivially true that...

    Use the adverb trivially to modify the adjective true.

Collocations

Word family