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If $\kappa$ is weakly inaccessible, then is it the $\kappa$-th aleph fixed point

A cardinal $\kappa$ is weakly inaccessible iff $\kappa > \omega$, $\kappa$ is regular, and $\forall\lambda<\kappa(\lambda^+<\kappa)$ (here $\lambda^+$ is the successor cardinal) A cardinal $\kappa$ …