A Universe with a ${\mathrm{\Delta }}_n^1$-definable well-order of the reals, $\mathsf{C}\mathsf{H}$ and ${\mathrm{\Pi }}_n^1$-Uniformization

This paper details the construction of a universe where ${\mathrm{\Pi }}_3^1$-uniformization is true, the Continuum Hypothesis holds yet it possesses a ${\mathrm{\Delta }}_3^1$-definable well-order of its reals. The method can be lifted to canonical inner models with finitely many Woodin cardinals to produce universes of $\mathsf{C}\mathsf{H}$, ${\mathrm{\Pi }}_n^1$-uniformization and where additionally a ${\mathrm{\Delta }}_n^1$-definable well-order of the reals exist.