arXiv · 1204.0205
The set theory KP$\Pi_{N+1}$ for $\Pi_{N+1}$-reflecting universes is shown to be $\Pi_{N+1}$-conservative over iterations of $\Pi_{N}$-recursively Mahlo operations for each $N\geq 2$.
Toshiyasu Arai. 2012-04-01. Conservations of first-order reflections. https://arxiv.org/abs/1204.0205
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