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We consider Ising systems where all the many-spin couplings $J_A$ arepositive. We show that the absolute value of all the many-spin correlationsdoes not increase when the value of any of the couplings is reduced, taking anyvalue in the interval $[-J_A,J_A]$. Results of this type are motivated by workin systems such as random field Ising models.Comment: ps, 5 pages, no figure

Effect of couplings weakening and reversing in ferromagnetic Ising systems— Rigorous inequalities