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Building on recent work of Philip Welch, we prove that (lightface)$\Sigma^0_3$ determinacy is equivalent to the existence of a wellfounded modelsatisfying the axiom scheme of (boldface) $\mathbf{\Pi}^1_2$ monotoneinduction.

${\Sigma}^0_3$ determinacy and ${\mathbf{\Pi}}^1_2$ monotone induction