nachweisen

установи́ть

to prove, verify, establish, demonstrate (something or the presence of something), to substantiate, to provide proof of

• Tom kann nachweisen, dass er seine Schulden bezahlt hat.

  Tom can prove that he's paid his debt.

  Tatoeba · felix63 · CC BY 2.0 FR

• Tom und Maria behaupten, Johannes die Tat nachweisen zu können.

  Tom and Mary say that they can prove that John did that.

  Tatoeba · Pfirsichbaeumchen · CC BY 2.0 FR