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 at least one monomer chosen from the elements of the group consisting of acrylic acid, methacrylic acid, 2-carboxyethylacrylic acid, itaconic acid, maleic acid, 3-methyl-3-[(1-oxo-2-propenyl)amino]butanoic acid, the carboxylic function of the monomers being in free acid, partially salified or totally salified form; and—at least one monomer unit derived from a polyethylenic crosslinking monomer (AR), b) ethylenediaminedisuccinic acid in trisodium salt form.