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Yes, yes, I've made a mistake. Thanks.

Yes, you are right. I seems to have goofed. In (2), it looks like a result of previous action:
Hydrogen and oxygen unite, and water formed as a result of it.
At first I thought that infinitives...

(1) Here is the infinitives as a purpose:
I have come here to see her.
I left my village to enter university.
I went to the station to see off а friend.

(2) Here, the infinitives is used to...