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Proof step 7 from proof pot2-est-mult8 (previous step)

0 ≤ i, 16 * 2 ^ (i - 1) < i + 7, 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 8:
i = i1 + 1, 0 ≤ i, 16 * 2 ^ i1 < i + 7, 0 < i, ∀ i0. i→n(i0) < i→n(i) → 8 * 2 ^ i0 < i0 + 7 ∧ 0 ≤ i0 → false ⊦

Rule argument

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

Additional information

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