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Theorem mod-add1-posneg-pos

⊦ i % j = 0 ∧ 0 ≤ i + i0 ∧ 0 ≤ i ∧ i0 < 0 ∧ i0 % j ≠ 0 ∧ 0 < j → (i + i0) % j = i0 % j + j

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