In probabilistic terms, evidence increases the probability that a proposition holds, relative to its value without such evidence, whereas proof raises the probability to certainty.
When used in this sense, the article is usually excluded. Really, the word 'evidence' would have been a better choice here, but 'evidence' and 'proof' have unfortunately become conflated in modern usage. I say it is unfortunate because the formal usage actually refers to a related but quite different concept.
Truthout: Iranian Group Files US-Israeli War Crimes Evidence to International Criminal Court
The head of the Iranian Red Crescent Society said Saturday that his organization has submitted evidence of U.S.-Israeli war crimes to the International Criminal Court and other gl ...
JD Supra: Cross-Border Transfer of Evidence from Mainland China under International Commercial Dispute Resolution Scenarios
Cross-Border Transfer of Evidence from Mainland China under International Commercial Dispute Resolution Scenarios
CNN: Amnesty International says there is ‘sufficient evidence’ to accuse Israel of genocide in Gaza
Amnesty International on Wednesday said that it had gathered “sufficient evidence to believe” that Israel’s conduct during the war in Gaza amounts to genocide against the Palestinian people – a charge ...
Amnesty International says there is ‘sufficient evidence’ to accuse Israel of genocide in Gaza
The Conversation: International Criminal Court is using digital evidence to investigate Putin – but how can it tell if a video or photo is real or fake?
International Criminal Court is using digital evidence to investigate Putin – but how can it tell if a video or photo is real or fake?
MedCity News: Real-World Evidence Meets Machine Learning: What It Takes to Future-Proof Evidence Generation