definitively

明确地证明

to demonstrate the truth or existence of something by evidence or argument.

以最终和决定性的方式证明某事是真的

最终确定

to show something to be true or certain by determining the facts.

以最终和决定性的方式建立某事物。

明确地确定

to find out or establish exactly, typically as a result of research or calculation.

最终且确定地决定或建立某事。