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Proof step 7 from proof pot-mod-add-zero (previous step)

0 ≤ j, 0 ≤ i1 ⊦ (i + i0 * j ^ i1 * j) % j = 0 ↔ i % j = 0

User applied rule case distinction

And obtained the following new goals

Proof step 8:
(i + i0 * j ^ i1 * j) % j = 0, 0 ≤ j, 0 ≤ i1 ⊦ i % j = 0
Proof step 16:
i % j = 0, 0 ≤ j, 0 ≤ i1 ⊦ (i + i0 * j ^ i1 * j) % j = 0

Rule argument

pos: right 1

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