It is proved that the lower types of functions T(r, u) and N(r, u)=N(r, u1)+N(z, u2) relative to the proximate order ρ(r) of a function u=U1−u2 of fractional order ρ δ-subharmonic in ℝm, m>- 2, coincide, that is, are simultaneously minimal or mean. In the case of an arbitrary proximate order ρ(r), the assertion is, in general, false.