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Proof step 34 from proof pot2-est-div6 (previous step)

j0 ≤ 5, 0 ≤ i1, 0 < (3 + i1) * 6 + j0, 8 * 2 ^ (i1 - 1) * 2 ≤ (3 + i1) * 6 + j0 + 1, 36 ≤ (3 + i1) * 6 + j0, 0 ≤ j0, 4 * 2 ^ (i1 - 1) * 2 ≤ 3 * (4 + i1), 2 ^ (i1 - 1) * 2 < i1 + 4, 8 * 2 ^ (i1 - 1) * 2 ≤ 6 * (i1 + 4), 0 < i1 ⊦

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 35:
i1 = i0 + 1, j0 ≤ 5, 0 ≤ i1, 0 < (3 + i1) * 6 + j0, 8 * 2 ^ i0 * 2 ≤ (3 + i1) * 6 + j0 + 1, 36 ≤ (3 + i1) * 6 + j0, 0 ≤ j0, 4 * 2 ^ i0 * 2 ≤ 3 * (4 + i1), 2 ^ i0 * 2 < i1 + 4, 8 * 2 ^ i0 * 2 ≤ 6 * (i1 + 4), 0 < i1 ⊦

Rule argument

spec: int-abs inst: name: elim-sub seq: ⊦ i0 = i - j ↔ i = i0 + j subst: [i, j, i0] → [i1, 1, i] flags:

Additional information

Used simplifier rules: ⊦ i0 = i - j ↔ i = i0 + j; (elim) Used terms: i1, 1, i