The test results proved beyond (all/any) doubt that he was not the child's father.检验结果确切无疑地证实了他不是这孩子的父亲。

If she is to be found guilty, the charges against her must be proved beyond a reasonable doubt.如果要判她有罪，必须要证明对她的控告是确切无疑的。

I knew, beyond a shadow of a doubt, that everything was going to be okay.当时我确凿地知道，一切都会好起来的。