It allows the usage of minimaximal approach. The first CWA is done in moment , and the last one in the moment .
Lets define the worst possible function for distribution from the multitude .
Lets mark the multitude of STS in the interval for AS with a distribution function , including CWA, done for a time with . The union of all multitudes of STS, containing from 0 to CWA we mark with , while . Therefore at a random amount of , the n-th STS from the multitude , leads to less loses than STS with the same amoung of , but not from the multitude . This means that the loses are not raising with the increase of while the term is negative. Therefore, which had to be demonstrated.