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Latin word cooperire comes from Latin operio, Latin co- ((intensifier). Together, with.), Italian cum, Italian operio
operio (Latin)
(by extension) I shut, close.. (figuratively) I hide, conceal, dissemble.. (figuratively) I overwhelm, burden.. (figuratively, of a sin) I atone for, cover, cause to be forgotten.. I cover (over something); envelop.
co- (Latin)
(intensifier). Together, with.
cum (Italian)
operio (Italian)
aperio (Latin)
I open. I uncover.