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Line 60: were ''B'' is the number of Byzantine failures. Proof : Red region indicates (Qw∩Qr)\B and the blue region indicates Qr∩B. From the assumption, the size of each quorum is n-f-j, so the red region has n-3f-2j active servers. Therefore, <math>n-3f-2J > f ~~-->~~\implies n > 4f+2J ~~-->~~\implies n </math> is strictly greater than f. [[File:Validity.jpg\|center\|validity]]

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