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The hybrid lattice,known as a discrete Korteweg-de Vries (KdV) equation,is found to be a discrete modified Korteweg-de Vries (mKdV) equation.The coupled hybrid lattice,which is pointed out to be a discrete coupled KdV system,is also found to be a discrete form of a coupled mKdV system.New lax pairs for the single and coupled discrete hybrid systems are proposed as a different study from previous ones.