beyond a shadow of a doubt

US /biˈjɑːnd ə ˈʃædoʊ əv ə daʊt/
UK /biˈjɑːnd ə ˈʃædoʊ əv ə daʊt/
"beyond a shadow of a doubt" picture
1.

without any doubt; certainly

:
She is, beyond a shadow of a doubt, the best candidate for the job.
The evidence proves beyond a shadow of a doubt that he is guilty.