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Proof step 54 from proof pot2-est-div6 (previous step)

(i0 + 1) * 6 < 2 ^ i0, j0 < 6, 2 ^ i0 ≤ (j0 + 1) + i0 * 6, 36 ≤ i0 * 6 + j0, 0 ≤ j0, 0 ≤ i0, 0 < i0 * 6 + j0, (i0 + 1) * 6 ≤ i0 * 6 + j0 ⊦ (j0 + 1) + i0 * 6 ≤ i0 * 6 + 6

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 55:
⊦ i + j = j + i
Proof step 56:
(i0 + 1) * 6 < 2 ^ i0, j0 < 6, 2 ^ i0 ≤ (j0 + 1) + i0 * 6, 36 ≤ i0 * 6 + j0, 0 ≤ j0, 0 ≤ i0, 0 < i0 * 6 + j0, (i0 + 1) * 6 ≤ i0 * 6 + j0 ⊦ (j0 + 1) + i0 * 6 ≤ 6 + i0 * 6

Rule argument

spec: int-basic2 inst: name: add-c seq: ⊦ i + j = j + i subst: [j, i] → [6, i0 * 6] flags: rewrite

Additional information

Used terms: 6, i0 * 6