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Proof step 7 from proof mod-mult-law (previous step)

j ≠ 0 → (∃ j0. i0 = j * j0 + i0 |%| j), i = j * j0 + i |%| j, 0 < j ⊦ (i * i0) |%| j = (i |%| j * i0 |%| j) |%| j, j = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information