Question

newton's laws are proven or not?

Answer 1

Yes.
http://www.ocf.berkeley.edu/~sjblatt/science/physics/newtonslaws.html
You can prove them pretty easily.
P.S. Something so commonly used obviously will have a logical proof behind it.
You can also view a deductive proof
http://www.lhup.edu/~dsimanek/cutting/3rdlaw.htm

Answer 2

No. They are interdependent and logically consistent and agree with experience almost exactly. However, we can't prove that F=ma. We *define* the cause of all accelerations to be a force. No acceleration=no force, by definition. This is an axiom, and cannot be "proven".