let a be Real; :: thesis: for V being non empty right_complementable Abelian add-associative right_zeroed vector-distributive scalar-distributive scalar-associative scalar-unital RLSStruct
for v being Element of V holds (- a) * (- v) = a * v
let V be non empty right_complementable Abelian add-associative right_zeroed vector-distributive scalar-distributive scalar-associative scalar-unital RLSStruct ; :: thesis: for v being Element of V holds (- a) * (- v) = a * v
let v be Element of V; :: thesis: (- a) * (- v) = a * v
thus (- a) * (- v) = (- (- a)) * v by Th24
.= a * v ; :: thesis: verum