Proves consistency of boldface Σ¹₁-separation on ω₁^ω₁ via forcing from L that preserves CH.
A universe with a∆1 n-definable well-order of the reals,CHandΠ 1 n- uniformization
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Forcing $\mathbf{\Sigma}^1_1$-Separation on $\omega_1^{\omega_1}$
Proves consistency of boldface Σ¹₁-separation on ω₁^ω₁ via forcing from L that preserves CH.