Solution
= Solution
The <Locality property of SLE> says the following. Let $D\subset\mathbb H$ be simply connected and agree with $\mathbb H$ in a neighborhood of $0$, and let $\psi:D\to\mathbb H$ be conformal with $\psi(0)=0$. The image under $\psi$ of an $\operatorname{SLE}_6$ in $\mathbb H$, stopped when it first leaves $D$, has the law of an $\operatorname{SLE}_6$ in $\mathbb H$, up to the corresponding stopping time and a change of <half-plane-capacity parameterization>.