The point is that any PS must be less than a Complete sequence if it is associated with it.

CS = IS plus Ps
cube = is plus ps plus 1
So PS =/ CS +1 CS = PS -1
The IS would have to +-1
So PS is < CS not >1
CS < Cube So a cube cannot be P = a CS +1 [required to make a PS a cube] ever As any PS associated with a cube is less than the CS with it in Or the PS

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