non-proliferation (n.)

a prefix used freely in English and meaning "not, lack of," or "sham," giving a negative sense to any word, 14c., from Anglo-French noun-, from Old French non-, from Latin non "not, by no means, not at all, not a," from Old Latin noenum "not one" (*ne oinom, from PIE root *ne- "not" + PIE root *oi-no- "one, unique"). In some cases perhaps from Middle English non "not" (adj.), from Old English nan (see not). "It differs from un- in that it denotes mere negation or absence of the thing or quality, while un- often denotes the opposite of the thing or quality" [Century Dictionary].

1859, "formation or development of cells by budding or division," from French prolifération, from prolifère "producing offspring," from Latin proles "offspring" (see prolific) + ferre "to bear, carry" (from PIE root *bher- (1) "to carry," also "to bear children"). The meaning "enlargement, extension, increase in number" is from 1920; especially of nuclear weapons by 1960 in the jargon of the U.S. State Department.