This is the 7253rd most frequent Korean word.
증명하는
"증명하는" means "proving" or "demonstrating."
In this sentence, '증명하는' (proving) is used as a modifier for '증거' (evidence), indicating what the evidence demonstrates—his innocence.
그는 자신의 결백을 증명하는 증거를 제시하였다.
He presented evidence proving his innocence.
Here, '증명하는' (proving) modifies '데' (place/context), clarifying its relevance as part of the experimental process concerning the hypothesis.
이 실험은 우리의 가설을 증명하는 데 중요한 역할을 한다.
This experiment plays an important role in proving our hypothesis.
In this instance, '증명하는' (proving) connects to '사례' (example), specifying its role in illustrating the point about saving time.