let K be Ring; :: thesis: for V being LeftMod of
for W being Subspace of V
for x being Vector of ex a being Vector of st x = a / W
let V be LeftMod of ; :: thesis: for W being Subspace of V
for x being Vector of ex a being Vector of st x = a / W
let W be Subspace of V; :: thesis: for x being Vector of ex a being Vector of st x = a / W
let x be Vector of ; :: thesis: ex a being Vector of st x = a / W
consider a being Vector of such that
A1: x = a . W by Th22;
take a ; :: thesis: x = a / W
thus x = a / W by A1; :: thesis: verum