:: deftheorem defines R_VectorSpace_of_C_0_Functions C0SP3:def 11 :
for X being non empty TopSpace
for T being NormedLinearTopSpace holds R_VectorSpace_of_C_0_Functions (X,T) = RLSStruct(# (C_0_Functions (X,T)),(Zero_ ((C_0_Functions (X,T)),(RealVectSpace ( the carrier of X,T)))),(Add_ ((C_0_Functions (X,T)),(RealVectSpace ( the carrier of X,T)))),(Mult_ ((C_0_Functions (X,T)),(RealVectSpace ( the carrier of X,T)))) #);