use 'fresh' to clarify
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@ -1274,7 +1274,7 @@ exchange.
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\begin{theorem}
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\begin{theorem}
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Let $C$ denote a coin controlled by users Alice and Bob.
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Let $C$ denote a coin controlled by users Alice and Bob.
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Suppose Bob creates a coin $C'$ from $C$ following the refresh protocol.
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Suppose Bob creates a fresh coin $C'$ from $C$ following the refresh protocol.
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Assuming the exchange and Bob operated the refresh protocol correctly,
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Assuming the exchange and Bob operated the refresh protocol correctly,
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and that the exchange continues to operate the linking protocol
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and that the exchange continues to operate the linking protocol
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in \S\ref{subsec:linking} correctly,
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in \S\ref{subsec:linking} correctly,
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