Englishfor English speakers
provided
Preposition
—
You use provided mathx/math, mathy/math to show that if mathx/math is true, happens, etc., mathy/math will, too.
The doctor can save his life, provided he arrives in time.
with
Preposition
—
With is used to show the other people or things present when something happened
I went to school with my brother.
—
With is used to describe something added to something else
The cat has a collar with a bell on it.
—
With is used to show what thing is used to do something
He hit the nail with a hammer.
—
Used to introduce non-finite and verbless clauses.
With the children so sick, we weren't able to get much work done.