Translation of "Partially" in Japanese

His story is partially true.

彼の話は部分的に真実だ。

I partially understand what he means.

少しは彼が言っている意味が分かる。

And then partially released into the atmosphere.

その一部は大気に放出されます

- I understand his point in a way.
- I partially understand what he means.

少しは彼が言っている意味が分かる。

- Prove that P is a poset.
- Prove that P is a partially ordered set.

Ｐが半順序集合であることを証明せよ。