detriment
/ˈdetrɪmənt; `dɛtrəmənt/ n
(idm 习语) to the detriment of sb/sth; without detriment to sb/sth harming/not harming sb/sth 对某人[某事物]有害 [无害]; 有损於[无损於]某人[某事物]
He works long hours, to the detriment of his health. 他长时间地工作, 有损健康.
This tax cannot be introduced without detriment to the economy. 这一税制一旦施行, 必然会危害国民经济.