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Proof step 5 from proof zero-04 (previous step)

i / i0 + j / i0 < i0, i / i0 + j / i0 < i + j, 0 ≤ i + j, i / i0 + j / i0 < 0, 0 < i0, (i / i0 + j / i0) + 1 < i0, 0 ≤ i, i / i0 + j / i0 < i ⊦

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Rule argument

spec: int-div inst: name: div-elim-pos seq: ⊦ 0 < j ∧ 0 ≤ i → ( i0 = i / j ∧ j0 = i % j ↔ i = i0 * j + j0 ∧ 0 ≤ j0 ∧ j0 < j) subst: [i, j, i0, j0] → [i, i0, i1, j0] flags: rewrite, current

Additional information

Used terms: i, i0, i1, j0