Definition of proof: The evidence or argument that compels the mind to accept an assertion as true.
Definition of evidence: The documentary or oral statements and the material objects admissible as testimony in a court of law.
Most people think that proof and evidence are the same concepts, but they are not. As stated supra, evidence is the material information that the court relies on to base the facts. Proof on the other hand is when the court decides if the evidence is proven or not. The evidence has to be in accordance to the law to prove a fact.
There are two different types of proof: prima facie proof and conclusive proof.
Prima facie proof is a fact that at first sight seems to be proven, but may later be disproven. Conclusive proof is proof that is indisputable, it is conclusive.