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Let X be a projective variety of dimension n and L be a nef divisor on X. Denote by $${\epsilon_d(r; X, L)}$$ the d-dimensional Seshadri constant of r very general points in X. We prove that     $$\epsilon_d(rs;X,L)\geq \epsilon_d(r;X,L)\cdot \epsilon_d(s;\mathbb {P}^n,\mathcal {O}_{\mathbb {P}^n}(1)) \quad \text{for}\,r, s\geq 1.$$

An inequality between multipoint Seshadri constants