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Proof step 39 from proof pot2-est-div6 (previous step)

0 ≤ (4 + i0) * 6 + j0, 0 < (4 + i0) * 6 + j0, 0 ≤ i0, j0 ≤ 5, 8 * (2 ^ (i0 - 1) * 2) * 2 ≤ (4 + i0) * 6 + j0 + 1, 36 ≤ (4 + i0) * 6 + j0, 0 ≤ j0, 4 * (2 ^ (i0 - 1) * 2) * 2 ≤ 3 * (5 + i0), (2 ^ (i0 - 1) * 2) * 2 < 5 + i0, 8 * (2 ^ (i0 - 1) * 2) * 2 ≤ 6 * (5 + i0), 0 < i0 ⊦

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 40:
i0 = i1 + 1, 0 ≤ (4 + i0) * 6 + j0, 0 < (4 + i0) * 6 + j0, 0 ≤ i0, j0 ≤ 5, 8 * (2 ^ i1 * 2) * 2 ≤ (4 + i0) * 6 + j0 + 1, 36 ≤ (4 + i0) * 6 + j0, 0 ≤ j0, 4 * (2 ^ i1 * 2) * 2 ≤ 3 * (5 + i0), (2 ^ i1 * 2) * 2 < 5 + i0, 8 * (2 ^ i1 * 2) * 2 ≤ 6 * (5 + i0), 0 < i0 ⊦

Rule argument

spec: int-abs inst: name: elim-sub seq: ⊦ i0 = i - j ↔ i = i0 + j subst: [i, j, i0] → [i0, 1, i] flags:

Additional information

Used simplifier rules: ⊦ i0 = i - j ↔ i = i0 + j; (elim) Used terms: i0, 1, i