Cryogenic air separation process

The invention relates to a process for the cryogenic separation of air in a rectification unit, a pressure column (1), a low-pressure column (2) and a condenser-evaporator system with at least two falling-film evaporators (203, 204). Oxygen-rich liquid from the low pressure column (2) is introduced into the evaporation passages of the first and second falling-film evaporator (203, 204) and is partially vaporized. Unvaporized oxygen-rich liquid from the first falling-film evaporator (203) is transferred to the evaporation passages of the second falling-film evaporator (204).