However, in this case we can simplify things quite a bit and just show a direct proof by leveraging our first proof.

不过，在本例中，我们可以进行相当程度的简化，只是通过补充我们的第一个证明来给出一个直接证明。

youdao

Though the researchers have no direct proof that the new planet is rocky, its mass means it is not a giant gas planet like Jupiter, they said.

尽管目前研究人员还没有直接证据证明这是一颗岩状行星，但是他们宣称，这颗行星的质量表明，它并不是一颗类似木星的巨大气体行星。

youdao

Direct proof of the mechanism of adhesion is quite elusive.

直接证明粘结的机理是十分困难的。

youdao

Lacking so far is direct scientific proof that wearing ultraviolet-blocking contact lenses will prevent long-term eye issues.

WSJ: Contacts Lenses That Let In Sun, But Block UV Rays

Despite direct proof of efficacy, it is logical to think UV-blocking contacts will help keep the eyes healthy, optometrists say.

WSJ: Contacts Lenses That Let In Sun, But Block UV Rays