Solved – Proof of the PRESS residual

I'm not sure where the expression $
e_{i,-i}=frac{e_{i}}{1-H_{ii}}$came from, for $H_{ii}$ the i'th diagonal entry of the hat matrix. Could anyone please guide me to prove that the LHS would eventually yield the RHS? Thanks in advance!

Rob Hyndman has a nice explanation of this on his "Hyndsight" blog. The relevant post is here.

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