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Individual levels of inner models, projecta, mastercodes, definability, Jensen's covering lemma.

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Ordering patterns of projecta by least witness

Let $J$ denote Jensen's modification of the constructible hierarchy. For an ordinal $\alpha$ and an $n\in\mathbb N^+$, let $\rho_n^{J_\alpha}$ denote the $\Sigma_n$-projectum of $J_\alpha$, the least …