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Proof step 6 from proof pot2-est-mult8 (previous step)

0 < i, 8 * 2 ^ i -1 * 2 < i + 7, 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 7:
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 ⊦

Rule argument

Additional information

Used simplifier rules: forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs%commutativity: ⊦ i * j = j * i; from specification int-mult%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult%sub-pred: ⊦ i -1 = i - 1; from specification int-abs