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Proof step 39 from proof pot2-est-div6 (previous step)

0 < (4 + i0) * 6 + j0, (2 ^ i0 -1 * 2) * 2 < 5 + i0, 0 < i0, 0 ≤ i0, 0 ≤ (4 + i0) * 6 + j0, j0 ≤ 5, 8 * (2 ^ i0 -1 * 2) * 2 ≤ 6 * (5 + i0), 0 ≤ j0, 36 ≤ (4 + i0) * 6 + j0, 8 * (2 ^ i0 -1 * 2) * 2 ≤ (4 + i0) * 6 + j0 + 1, 4 * (2 ^ i0 -1 * 2) * 2 ≤ 3 * (5 + i0) ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 40:
0 < (4 + i0) * 6 + j0, (2 ^ (i0 - 1) * 2) * 2 < 5 + i0, 0 < i0, 4 * (2 ^ (i0 - 1) * 2) * 2 ≤ 3 * (5 + i0), 8 * (2 ^ (i0 - 1) * 2) * 2 ≤ (4 + i0) * 6 + j0 + 1, 36 ≤ (4 + i0) * 6 + j0, 0 ≤ j0, 8 * (2 ^ (i0 - 1) * 2) * 2 ≤ 6 * (5 + i0), j0 ≤ 5, 0 ≤ (4 + i0) * 6 + j0, 0 ≤ i0 ⊦

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)