Method for obtaining a compressed gas product (72; 73) by means of cryogenic separation of air in a distillation column system which has a high-pressure column and a low-pressure column, in which - all of the feed air is compressed in a main air compressor to a first pressure which is at least 4 bar higher than the operating pressure of the high-pressure column, - a first partial flow (8, 11, 14) of the feed air compressed in the main air compressor is cooled to an intermediate temperature in a main heat exchanger and is expanded so as to perform work in a first air turbine, - at least a first part of the first partial flow expanded so as to perform work is introduced (40; 18, 19, 20) into the distillation column system, - a second partial flow (12, 27, 29, 30) of the feed air compressed in the main air compressor is post-compressed in a first post-compressor, which in particular is driven by the first air turbine, to a second pressure which is higher than the first pressure, is cooled in the main heat exchanger to an intermediate temperature, is post-compressed in a second post-compressor, which is operated as a cold compressor and in particular is driven by a second air turbine, to a third pressure which is higher than the second pressure, is cooled in the main heat exchanger and then expanded and introduced into the distillation column system, - a third partial flow (436, 37) of the feed air compressed in the main air compressor is cooled in the main heat exchanger to an intermediate temperature and is expanded so as to perform work in the second air turbine and - at least a first part of the third partial flow expanded so as to perform work is introduced into the distillation column system, - a first product flow (69; 75) is removed in liquid form from the distillation column system and is subjected to a pressure increase (71; 76) to a first product pressure, - the first product flow at the first product pressure is evaporated or pseudo-evaporated and heated in the main heat exchanger and - the heated first product flow (72; 77) is obtained as first compressed gas product (GOX IC; GAN IC), - the inlet pressure of the first air turbine is at least 1 bar smaller than the third pressure, characterized in that - the third partial flow is expanded in the second air turbine to a pressure which is at least 1 bar higher than the operating pressure of the high-pressure column, - at least a first part of the third partial flow expanded so as to perform work is further cooled, liquefied and then expanded in the main heat exchanger and is introduced into the distillation column system. - all of the feed air is compressed in a main air compressor to a first pressure which is at least 4 bar higher than the operating pressure of the high-pressure column, - a first partial flow (8, 11, 14) of the feed air compressed in the main air compressor is cooled to an intermediate temperature in a main heat exchanger and is expanded so as to perform work in a first air turbine, - at least a first part of the first partial flow expanded so as to perform work is introduced (40; 18, 19, 20) into the distillation column system, - a second partial flow (12, 27, 29, 30) of the feed air compressed in the main air compressor is post-compressed in a first post-compressor, which in particular is driven by the first air turbine, to a second pressure which is higher than the first pressure, is cooled in the main heat exchanger to an intermediate temperature, is post-compressed in a second post-compressor, which is operated as a cold compressor and in particular is driven by a second air turbine, to a third pressure which is higher than the second pressure, is cooled in the main heat exchanger and then expanded and introduced into the distillation column system, - a third partial flow (436, 37) of the feed air compressed in the main air compressor is cooled in the main heat exchanger to an intermediate temperature and is expanded so as to perform work in the second air turbine and - at least a first part of the third partial flow expanded so as to perform work is introduced into the distillation column system, - a first product flow (69; 75) is removed in liquid form from the distillation column system and is subjected to a pressure increase (71; 76) to a first product pressure, - the first product flow at the first product pressure is evaporated or pseudo-evaporated and heated in the main heat exchanger and - the heated first product flow (72; 77) is obtained as first compressed gas product (GOX IC; GAN IC), - the inlet pressure of the first air turbine is at least 1 bar smaller than the third pressure, - the third partial flow is expanded in the second air turbine to a pressure which is at least 1 bar higher than the operating pressure of the high-pressure column, - at least a first part of the third partial flow expanded so as to perform work is further cooled, liquefied and then expanded in the main heat exchanger and is introduced into the distillation column system.