beyond a shadow of a doubt
US /biˈjɑːnd ə ˈʃædoʊ əv ə daʊt/
UK /biˈjɑːnd ə ˈʃædoʊ əv ə daʊt/

1.
毫无疑问, 毋庸置疑
without any doubt; certainly
:
•
She is, beyond a shadow of a doubt, the best candidate for the job.
她毫无疑问是这份工作的最佳人选。
•
The evidence proves beyond a shadow of a doubt that he is guilty.
证据毫无疑问地证明他有罪。