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Proof step 11 from proof pot2-est-mult8 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
8 * 2 ^ i1 * 2 < 8 + i1, 0 ≤ i1, i1 + 7 ≤ 8 * 2 ^ i1, ∀ i0. i→n(i0) < i→n(i1 + 1) → 8 * 2 ^ i0 < i0 + 7 ∧ 0 ≤ i0 → false ⊦

Rule argument

Additional information

Used simplifier rules: ⊦ i < j ↔ ¬ j ≤ i; (ss)% ⊦ i ≤ 0 ∧ 0 ≤ j → i ≤ j; (s)