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Proof step 7 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 simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
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 ⊦

Rule argument

Additional information

Used simplifier rules: forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs% ⊦ i -1 = i - 1; (s)