  We provide a simple extension of Bolthausen's Morita type proof of the
replica symmetric formula [E. Bolthausen, Stat. Mech. of Classical and
Disordered Systems, pp. 63-93 (2018)] for the Sherrington-Kirkpatrick model and
prove the replica symmetry for all $(\beta,h)$ that satisfy $\beta^2 E
\operatorname{sech}^2(\beta\sqrt{q}Z+h) \leq 1$, where $q =
E\tanh^2(\beta\sqrt{q}Z+h)$. Compared to [E. Bolthausen, Stat. Mech. of
Classical and Disordered Systems, pp. 63-93 (2018)], the key of the argument is
to apply the conditional second moment method to a suitably reduced partition
function.
