"Proof" meaning evidence is uncountable — "there is no proof", never "proofs". "Proofs" is correct only for countable items: mathematical proofs, printer's proofs, or photography proofs.
Evidence → 'proof', uncountable, no plural.
Math theorems, print trials, photo previews → 'proofs' is correct.
'Do you have any proof?' — never 'any proofs' for evidence.
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Proof meaning evidence is uncountable — no plural: "There is no proof of this," "Do you have any proof?" (not proofs).
Proofs is correct when it means countable items: