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1) to prove beyond doubt the origin etc of (something) (authenticate)

2) to supply proof of (something); show (something) beyond doubt to be true (prove)

Synonyms
UK
US
Meaning:
admittedly

by general agreement; as is agreed

without a doubt

clearly

so as to be easily understood

without any doubt

really

in fact; without doubt; (used to express interest, surprise, protest etc)

without a doubt

surely

(used to express difficulty in believing) if experience or probability can be trusted

without doubt

truly

sincerely; genuinely; certainly

really, doubtlessly

undeniable

undoubtedly true

definite, proven

BEYOND DOUBT as in Wiktionary
BEYOND DOUBT as in Wikipedia