If allocation x is a competitive equilibrium at prices p and if everybody likes his bundle in allocation y better than his bundle in allocation x, then the total value of allocation y at prices p exceeds the total value of allocation x at prices p.

Competitive Equilibrium

A state in a competitive market where supply equals demand, and the market clears at a price where no participant has an incentive to change their behavior.

Total Value

The complete worth of a good, service, asset, or investment, often taking into account both tangible and intangible factors.