  For an intergral $2$-varifold $V=\underline{v}(\Sigma,\theta_{\ge 1})$ in the
unit ball $B_1$ passing through the original point, assuming the critical
Allard condition holds, that is, the area $\mu_V(B_1)$ is close to the area of
a unit disk and the generalized mean curvature has sufficient small $L^2$ norm,
we prove $\Sigma$ is bi-Lipschitz homeomorphic to a flat disk in $\mathbb{R}^2$
locally.
