Acts Against Provocation

The idea of self-defense is that one acts to prevent harm to oneself or others, or else further harm. -Morosoph

Agreed.

If they've already done you harm, the proper defense in law is provocation, as it's too late for self-defense to apply.

My understanding as to provocation is even if someone committed crime in responce to other's provocative acts, that wouldn't become a good excuse or reason for those who committed the crime to be lenient.

A little bit philosophical though, self-defence and acts against provocation, functionally speaking both are similar, but self-defence is lawful act, yet acts against provocation- is unlawful.

Provocation is offence, being provoked by someone, something.