  A noncollapsed $\mathbb{F}$-limit metric soliton is a self-similar
singularity model that inevitably arises when studying the Ricci flow with the
tool of $\mathbb{F}$-convergence [Bam20a,Bam20b,Bam20c]. In this article, we
shall present a systematic study of the noncollapsed $\mathbb{F}$-limit metric
soliton, and show that, apart from the known results in [Bam20c], it satisfies
many properties of smooth Ricci shrinkers. In particular, we show a quadratic
lower bound for the scalar curvature, a local gap theorem, a global Sobolev
inequality, and an optimal volume growth lower bound.
