beyond/without a shadow of doubt

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beyond/without a ˌshadow of (a) ˈdoubt

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there isn’t a ˌshadow of a ˈdoubt (that...)

there is no doubt at all (that...); absolutely certainly: He’s innocent beyond a shadow of a doubt.There isn’t a shadow of doubt in my mind about the safety of the system.
See also: beyond, doubt, of, shadow, without