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Proof step 1 from proof div-add1-posneg-pos-01 (conclusion)

⊦ i % j = 0 ∧ 0 ≤ i + i0 ∧ i0 % j ≠ 0 ∧ 0 ≤ i ∧ i0 < 0 ∧ 0 < j → (i + i0) / j = i / j + i0 / j - 1

System applied rule normalize

And obtained the following new goals

Rule argument

Additional information