Prove that \[ \left[1-\left\{1-\left(1-p^{2}\right)^{-1}\right\}^{-1}\right]^{-1 / 2}=p \]
Prove that
\[
\left[1-\left\{1-\left(1-p^{2}\right)^{-1}\right\}^{-1}\right]^{-1 / 2}=p
\]
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