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Proof of Theorem 1 — the basic inequality $\|\hat A^\lambda-A_0\|^2_{L_2(\Pi)}\le\|A-A_0\|^2_{L_2(\Pi)}+2\Delta\|\hat A^\lambda-A\|_1+\lambda(\|A\|_1-\|\hat A^\lambda\|_1)$ · Prove2Me