Perhaps, this is along the lines of what you're looking for. This thesis gives a proof of the stong partition relation on $\omega_1$ from AD, and then "relativizes" the proof to $V$ to show, assuming the existence of Woodin cardinals, a collapsing result, namely, that some regular cardinal $<\aleph_{\omega_2}$ in $L[\mathbb{R}]$ must collapse in $V$.
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