for X being RealLinearSpace holds
( the carrier of X = the carrier of (RLSp2RVSp X) & the ZeroF of X = the ZeroF of (RLSp2RVSp X) & the addF of X = the addF of (RLSp2RVSp X) & the Mult of X = the lmult of (RLSp2RVSp X) ) ;