let V be RealLinearSpace; :: thesis: for I being Basis of V
for v being VECTOR of V holds v in Lin I
let I be Basis of V; :: thesis: for v being VECTOR of V holds v in Lin I
let v be VECTOR of V; :: thesis: v in Lin I
v in RLSStruct(# the carrier of V,the U2 of V,the U5 of V,the Mult of V #) by STRUCT_0:def 5;
hence v in Lin I by RLVECT_3:def 3; :: thesis: verum