A Universe with a $Δ^1_n$-definable well-order of the reals, $\mathsf{CH}$ and $Π^1_n$-Uniformization

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