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The Ando-Choi-Effros lifting theorem provides conditions under which abounded linear mapping taking values in a quotient space can be lifted throughthe quotient map. We prove two versions of said theorem for regular mapsbetween Banach lattices. Our conditions mirror the classical ones, butadditionally taking into account the order structure.

Ando-Choi-Effros liftings for regular maps between Banach lattices