Measurement of fσ₈ and D_MH from VIDE voids in the Euclid Flagship catalog as a function of redshift z. The marker style distinguishes between a fully model-independent approach (green circles) and an analysis with calibrated nuisance parameters ℳ and 𝒬 (red triangles) using external sources, such as simulations or mocks. Dotted lines indicate the Flagship input cosmology, the markers are slightly shifted horizontally for visibility. These results are based on one octant of the sky, the expected precision from the full Euclid footprint is a factor of about higher.