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Proof step 46 from proof pot2-est-div6 (previous step)

i1 = i0 + 1, 0 < i1, ((2 ^ i0 * 2) * 2) * 2 < 6 + i1, 0 < (5 + i1) * 6 + j0, 0 ≤ i1, 0 ≤ (5 + i1) * 6 + j0, j0 ≤ 5, 8 * ((2 ^ i0 * 2) * 2) * 2 ≤ 6 * (6 + i1), 0 ≤ j0, 36 ≤ (5 + i1) * 6 + j0, 8 * ((2 ^ i0 * 2) * 2) * 2 ≤ (5 + i1) * 6 + j0 + 1, 4 * ((2 ^ i0 * 2) * 2) * 2 ≤ 3 * (6 + i1) ⊦

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: pot2-est-mult8: ⊦ 0 ≤ i → ¬ 8 * 2 ^ i < i + 7;%i0 ≠ 0, i0 ≤ i ⊦ (* i) ≤ j → (* i0) ≤ j; (s)% ⊦ ~1 < i ↔ 0 ≤ i; (s)% ⊦ (* j) < i0 + (* j0) ↔ j - j0 < i0; (s)% ⊦ (* j) ≤ i0 + (* j0) ↔ j - j0 ≤ i0; (s)%add-c: ⊦ i + j = j + i; from specification int-basic2%add-a: ⊦ i + j + i0 = (i + j) + i0; from specification int-basic2%commutativity: ⊦ i * j = j * i; from specification int-mult%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult