Meaning of the word "on condition that" in English

What does "on condition that" mean in English? Explore the meaning, pronunciation, and specific usage of this word with Lingoland.

on condition that

US /ɑn kənˈdɪʃən ðæt/
UK /ɒn kənˈdɪʃən ðæt/

Phrase

only if; provided that

Example:
You can go out on condition that you finish your homework first.
They agreed to the deal on condition that certain terms were met.