Proof vs. evidence

Proof is the cogency of evidence that compels acceptance by the mind of a truth or a fact; the process or an instance of establishing the validity of a statement especially by derivation from other statements in accordance with principles of reasoning. (

Evidence is the means, sanctioned by these rules, of ascertaining in a judicial proceeding the truth respecting a matter of fact. (Rules of Court)

Strictly speaking, proof is the effect of evidence. Evidence creates proof in the mind of the court. Evidence is that object, document or testimony that leads to a conclusion; if the mind is sufficiently convinced that said object, document or testimony has met its burden of proof, proof is created in the mind of the person making the decision.