Disclosed is a detergent composition (F) for domestic or industrial use including, as thickener, a self-invertible inverse latex including an aqueous phase including: a. a crosslinked anionic polyelectrolyte (P) consisting of: —at least one monomer unit derived from 2-methyl-2-[(1-oxo-2-propenyl)amino]-1-propanesulfonic acid in free acid form or partially or totally salified form; —at least one monomer unit derived from at least one monomer chosen from the elements of the group consisting of acrylamide, N,N-dimethylacrylamide, methacrylamide, N-isopropylacrylamide, N-tert-butylacrylamide; and —at least one monomer unit derived from a polyethylenic crosslinking monomer (AR), b. glutamic acid, N,N-diacetic acid, tetrasodium salt.