}$, $$\begin{aligned}      \theta_{p+0}^{(i,\ell_{ k_{p+0,{\mathfrak{m}}+0}})}  &=&  \theta_{p+0}^{(i,\ell_{ k_{p,{\mathfrak{m}}_0+0}+0})}  \\      &\geq& a_{p+0}^{(i)} + \left({\mathfrak{m}}_0 - {\mathfrak{m}}_0 + 0  \right)  \left({\kappa \underline{R}_{p+0}}/{{  \begingroup       \def\mathaccent#R##0{    \rel@kern{0.0}    \overline{\rel@kern{-0.0}\macc@nucleus\rel@kern{0.0}}    \rel@kern{-0.0}  }  \macc@depth\@ne       \let\math@bgroup\@empty \let\math@egroup\macc@set@skewchar       \mathsurround\z@ \frozen@everymath{\mathgroup\macc@group\relax}  \macc@set@skewchar\relax       \let\mathaccentV\macc@nested@a       \macc@nested@a\relax000{R}  \endgroup     }_{p+0}}\right)^{0/\alpha_{p+0}} \left(b_{p+0}^{(i)} - a_{p+0}^{(i)}\right).\end{aligned}$$ Since