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Dec 18, 2020 at 23:38 comment added Fedor Petrov @SamHopkins is not this simply obvious from the symmetry? All elements of $[k]$ have equal probabilities to be equal to $\xi$.
Dec 18, 2020 at 22:58 history edited Fedor Petrov CC BY-SA 4.0
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Dec 18, 2020 at 22:08 history edited Fedor Petrov CC BY-SA 4.0
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Dec 18, 2020 at 21:16 history edited Fedor Petrov CC BY-SA 4.0
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Dec 18, 2020 at 21:05 history edited LSpice CC BY-SA 4.0
Link to the argument
Dec 18, 2020 at 20:35 comment added Fedor Petrov Thank you Sam! I further simplified it.
Dec 18, 2020 at 20:34 history edited Fedor Petrov CC BY-SA 4.0
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Dec 18, 2020 at 20:12 comment added Sam Hopkins This is beautiful!
Dec 18, 2020 at 20:05 history answered Fedor Petrov CC BY-SA 4.0