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Proof step 27 from proof pot2-est-div6 (previous step)

6 * (i1 + 4) < 8 * (i1 + 4), 8 * 2 ^ i1 ≤ 6 * (i1 + 4), 1 + 6 * (3 + i1) + j0 ≤ 6 * (i1 + 4), 0 ≤ i1, 0 < (3 + i1) * 6 + j0, 8 * 2 ^ i1 ≤ (3 + i1) * 6 + j0 + 1, 36 ≤ (3 + i1) * 6 + j0, 0 ≤ j0, 4 * 2 ^ i1 ≤ 3 * (4 + i1), j0 < 6 ⊦

User applied rule cut formula

And obtained the following new goals

Proof step 28:
8 * 2 ^ i1 < 8 * (i1 + 4), 6 * (i1 + 4) < 8 * (i1 + 4), 8 * 2 ^ i1 ≤ 6 * (i1 + 4), 1 + 6 * (3 + i1) + j0 ≤ 6 * (i1 + 4), 0 ≤ i1, 0 < (3 + i1) * 6 + j0, 8 * 2 ^ i1 ≤ (3 + i1) * 6 + j0 + 1, 36 ≤ (3 + i1) * 6 + j0, 0 ≤ j0, 4 * 2 ^ i1 ≤ 3 * (4 + i1), j0 < 6 ⊦
Proof step 46:
6 * (i1 + 4) < 8 * (i1 + 4), 8 * 2 ^ i1 ≤ 6 * (i1 + 4), 1 + 6 * (3 + i1) + j0 ≤ 6 * (i1 + 4), 0 ≤ i1, 0 < (3 + i1) * 6 + j0, 8 * 2 ^ i1 ≤ (3 + i1) * 6 + j0 + 1, 36 ≤ (3 + i1) * 6 + j0, 0 ≤ j0, 4 * 2 ^ i1 ≤ 3 * (4 + i1), j0 < 6 ⊦ 8 * 2 ^ i1 < 8 * (i1 + 4)

Rule argument

fma: 8 * 2 ^ i1 < 8 * (i1 + 4)

Additional information

Used formulas: 8 * 2 ^ i1 < 8 * (i1 + 4)