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 first 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 second monomer unit derived from at least one monomer chosen from the elements of the group consisting of 2-hydroxyethyl acrylate, 2,3-dihydroxypropyl acrylate, 2-hydroxyethyl methacrylate, 2,3-dihydroxypropyl methacrylate, or vinylpyrrolidone; and—at least one monomer unit derived from a polyethylenic crosslinking monomer (AR), b) at least one sequestrant compound (SQ) chosen from the elements of the group consisting of ethylenediaminedisuccinic acid in trisodium salt form, the glutamic acid, N,N-diacetic acid, tetrasodium salt, and the sodium salt of iminosuccinic acid.