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Proof step 8 from proof pot2-est-mult8 (previous step)

8 * 2 ^ (i - 1) * 2 < i + 7, 0 < i, 0 ≤ i, ∀ i0. i→n(i0) < i→n(i) → 8 * 2 ^ i0 < i0 + 7 ∧ 0 ≤ i0 → false ⊦

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 9:
i = i1 + 1, 0 < i, 8 * 2 ^ i1 * 2 < i + 7, 0 ≤ i, ∀ i0. i→n(i0) < i→n(i) → 8 * 2 ^ i0 < i0 + 7 ∧ 0 ≤ i0 → false ⊦

Rule argument

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

Additional information

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