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Proof step 19 from proof divide-by-10 (previous step)

52429 * j + 2 * i0 < 0, i0 * 10 + j ≤ 65536, j < 10, 0 ≤ i0, 0 ≤ j ⊦ (i0 * 524290 + 52429 * j) / 524288 = i0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: int-abs inst: name: zero-gs seq: ⊦ 0 ≤ i ∧ 0 ≤ j → ¬ i + j < 0 subst: [j, i] → [2 * i0, 52429 * j] flags: rewrite

Additional information

Used simplifier rules: ⊦ 0 < i → (0 ≤ i * j ↔ 0 ≤ j);% ⊦ ¬ i ≤ j ↔ j < i;% ⊦ i ≤ j → (¬ ¬ j < i ↔ false);% ⊦ i * j * j0 = (i * j) * j0;% ⊦ i * j = j * i; Used terms: 2 * i0, 52429 * j