Process for the preparation of a self-invertible inverse latex comprising an aqueous phase comprising: a) a crosslinked anionic polyelectrolyte consisting, for 100 mol%, of: - a proportion between 20 mol% and 90 mol% of a monomer unit resulting from 2-methyl-2-[(1-oxo-2-propenyl)amino]-1-propanesulfonic acid in free acid or partially or completely salified form; - a proportion between 10 mol% and 80 mol% of a monomer unit resulting from at least one monomer selected 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 said monomers being in free acid, partially salified or completely salified form; and - a proportion of greater than 0 mol% and less than or equal to 1 mol% of monomer units resulting from at least one polyethylenic crosslinking monomer chosen from methylenebis(acrylamide), ethylene glycol dimethacrylate, diethylene glycol diacrylate, ethylene glycol diacrylate, diallylurea, triallylamine, trimethylolpropane triacrylate, diallyloxyacetic acid or one of its salts, such as sodium diallyloxyacetate, or a mixture of these compounds, b) ethylenediaminedisuccinic acid in the trisodium salt form, said process comprising the following steps: a) preparing the aqueous phase as defined above, b) preparing an organic phase comprising at least one oil and an emulsifying system of water-in-oil type, c) mixing the aqueous phase and the organic phase prepared in steps a) and b) and emulsifying so as to form an emulsion, d) inerting the emulsion with nitrogen, e) initiating the polymerization reaction by introduction, into the inerted emulsion, of a free-radical initiator, and f) introducing, into the reaction medium resulting from step e), an emulsifying system of oil-in-water type at a temperature of between 30°C and 60°C. a) a crosslinked anionic polyelectrolyte consisting, for 100 mol%, of: - a proportion between 20 mol% and 90 mol% of a monomer unit resulting from 2-methyl-2-[(1-oxo-2-propenyl)amino]-1-propanesulfonic acid in free acid or partially or completely salified form; - a proportion between 10 mol% and 80 mol% of a monomer unit resulting from at least one monomer selected 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 said monomers being in free acid, partially salified or completely salified form; and - a proportion of greater than 0 mol% and less than or equal to 1 mol% of monomer units resulting from at least one polyethylenic crosslinking monomer chosen from methylenebis(acrylamide), ethylene glycol dimethacrylate, diethylene glycol diacrylate, ethylene glycol diacrylate, diallylurea, triallylamine, trimethylolpropane triacrylate, diallyloxyacetic acid or one of its salts, such as sodium diallyloxyacetate, or a mixture of these compounds, - a proportion between 20 mol% and 90 mol% of a monomer unit resulting from 2-methyl-2-[(1-oxo-2-propenyl)amino]-1-propanesulfonic acid in free acid or partially or completely salified form; - a proportion between 10 mol% and 80 mol% of a monomer unit resulting from at least one monomer selected 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 said monomers being in free acid, partially salified or completely salified form; and - a proportion of greater than 0 mol% and less than or equal to 1 mol% of monomer units resulting from at least one polyethylenic crosslinking monomer chosen from methylenebis(acrylamide), ethylene glycol dimethacrylate, diethylene glycol diacrylate, ethylene glycol diacrylate, diallylurea, triallylamine, trimethylolpropane triacrylate, diallyloxyacetic acid or one of its salts, such as sodium diallyloxyacetate, or a mixture of these compounds, b) ethylenediaminedisuccinic acid in the trisodium salt form, said process comprising the following steps: a) preparing the aqueous phase as defined above, b) preparing an organic phase comprising at least one oil and an emulsifying system of water-in-oil type, c) mixing the aqueous phase and the organic phase prepared in steps a) and b) and emulsifying so as to form an emulsion, d) inerting the emulsion with nitrogen, e) initiating the polymerization reaction by introduction, into the inerted emulsion, of a free-radical initiator, and f) introducing, into the reaction medium resulting from step e), an emulsifying system of oil-in-water type at a temperature of between 30°C and 60°C. a) preparing the aqueous phase as defined above, b) preparing an organic phase comprising at least one oil and an emulsifying system of water-in-oil type, c) mixing the aqueous phase and the organic phase prepared in steps a) and b) and emulsifying so as to form an emulsion, d) inerting the emulsion with nitrogen, e) initiating the polymerization reaction by introduction, into the inerted emulsion, of a free-radical initiator, and f) introducing, into the reaction medium resulting from step e), an emulsifying system of oil-in-water type at a temperature of between 30°C and 60°C.