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We also assume that due to the truth-telling condition being satisfied earlier in this section, users submit honest probabilities.
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So the first condition is satisfied.
Thus, condition is satisfied.
that is, the condition is satisfied.
The condition is satisfied twice per orbit.
Hence, the Legendre condition is satisfied.
Hence the Jacobi condition is satisfied.
Therefore, the required condition is satisfied.
If the following condition is satisfied.
We show that this condition is satisfied.
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