Use of a composition comprising a mixture or mixtures of fluorinated hydrocarbons; the composition comprising the following mixture consisting of R32, R125, 1234yf, R134a and optionally ≤ 0.5 wt.% of other components, wherein the composition ratio of the fluorinated hydrocarbons contained in the mixture is indicated in a ternary composition diagram in which the sum of the concentrations of R125, 1234yf, and R134a is represented by (100-x) wt%, when the sum of the concentrations of R32, R125, 1234yf, and R134a is 100 wt%, and the concentration of R32 is x wt%, the mixture having a composition ratio in which 20.0 wt % > x ≥ 18.1 wt %, and the concentrations of R125, 1234yf, and 134a (R125 concentration (wt%)/1234yf concentration (wt%)/134a concentration (wt%)) fall within a quadrilateral having the following points B', C', F' and E' as vertices: B' (-1.0442x+33.87/0.2539x 2 -14.531x+212.38/100-R32-R125-1234yf), C' (-1.3145x+43.588/-2.4717x+59.031/100-R32-R125-1234yf), F' (-1.258x+39.651/0.0607x 2 -4.7348x+75.905/100-R32-R125-1234yf), and E' (-0.8869x+28.126/0.1994x 2 -11.991x+177.97/100-R32-R125-1234yf), as a refrigerant in any of refrigerating devices for freezing and refrigerating warehouses, turbo refrigerators, and screw refrigerators. the composition comprising the following mixture consisting of R32, R125, 1234yf, R134a and optionally ≤ 0.5 wt.% of other components, wherein the composition ratio of the fluorinated hydrocarbons contained in the mixture is indicated in a ternary composition diagram in which the sum of the concentrations of R125, 1234yf, and R134a is represented by (100-x) wt%, when the sum of the concentrations of R32, R125, 1234yf, and R134a is 100 wt%, and the concentration of R32 is x wt%, the mixture having a composition ratio in which 20.0 wt % > x ≥ 18.1 wt %, and the concentrations of R125, 1234yf, and 134a (R125 concentration (wt%)/1234yf concentration (wt%)/134a concentration (wt%)) fall within a quadrilateral having the following points B', C', F' and E' as vertices: B' (-1.0442x+33.87/0.2539x 2 -14.531x+212.38/100-R32-R125-1234yf), C' (-1.3145x+43.588/-2.4717x+59.031/100-R32-R125-1234yf), F' (-1.258x+39.651/0.0607x 2 -4.7348x+75.905/100-R32-R125-1234yf), and E' (-0.8869x+28.126/0.1994x 2 -11.991x+177.97/100-R32-R125-1234yf), 20.0 wt % > x ≥ 18.1 wt %, and the concentrations of R125, 1234yf, and 134a (R125 concentration (wt%)/1234yf concentration (wt%)/134a concentration (wt%)) fall within a quadrilateral having the following points B', C', F' and E' as vertices: B' (-1.0442x+33.87/0.2539x 2 -14.531x+212.38/100-R32-R125-1234yf), C' (-1.3145x+43.588/-2.4717x+59.031/100-R32-R125-1234yf), F' (-1.258x+39.651/0.0607x 2 -4.7348x+75.905/100-R32-R125-1234yf), and E' (-0.8869x+28.126/0.1994x 2 -11.991x+177.97/100-R32-R125-1234yf), B' (-1.0442x+33.87/0.2539x 2 -14.531x+212.38/100-R32-R125-1234yf), C' (-1.3145x+43.588/-2.4717x+59.031/100-R32-R125-1234yf), F' (-1.258x+39.651/0.0607x 2 -4.7348x+75.905/100-R32-R125-1234yf), and E' (-0.8869x+28.126/0.1994x 2 -11.991x+177.97/100-R32-R125-1234yf), as a refrigerant in any of refrigerating devices for freezing and refrigerating warehouses, turbo refrigerators, and screw refrigerators.