I want to say the following content: "If, after a death penalty is carried out, the case is shown to be false, there is no mending."
Which expression is the most appropriate? (1) If, after a death penalty is carried out, he or she is shown to be falsely accused, there is no mending.
(2) If, after capital punishment is carried out, the case is shown to be false, there is no mending.
I'm not sure whether the subject should be "the case" or "a person", although there may be some other mistakes in these sentences.