beyond a shadow of doubt

Also found in: Idioms.
References in periodicals archive ?
The problem is more serious than it appears as it has been proved beyond a shadow of doubt that plastic bags are a major cause of water pollution.
ISLAMABAD: The Supreme Court on Tuesday acquitted a suspect in a case concerning the murder ofa five-year-old girl after sexual assault due to lack of evidence.Justice Asif Saeed Khosa, heading the three-judge bench of the apex court, observed that the prosecution had failed to prove charges against the suspect beyond a shadow of doubt.
I know, beyond a shadow of doubt, the impact this event is making in their lives.