ことは無い

will never; there is no chance that …

→ こと
phrase Very common #833
will never; there is no chance that … Follows a verb in its dictionary form to say that an event or situation will not occur.
JA: 私の生きているうちに共産主義が効力を持つことは無いだろう。
EN: Communism will never be effective in my lifetime.

彼のことはほとんど心配するほどのことは無い。

There's hardly any reason to worry about him.

彼女の行儀の悪さを気にしたことは無い。

I've never minded her bad manners.