Duì nàxiē wángùbùhuà de fànzuì fènzǐ, fǎlǜ bìxū yánchéng.
The law must severely punish incorrigible criminals.
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usage
顽固不化 implies not just stubbornness but resistance to positive change or education. It's stronger than simply 顽固 (stubborn) — the 不化 (won't change/transform) makes it absolute. Often used in political or moral contexts.