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Proof step 49 from proof pot2-est-div6 (previous step)

(i0 + 1) * 6 < 2 ^ i0, j0 < 6, 2 ^ i0 ≤ (i0 * 6 + j0) + 1, 36 ≤ i0 * 6 + j0, 0 ≤ j0, 0 ≤ i0, 0 < i0 * 6 + j0, (i0 + 1) * 6 ≤ i0 * 6 + j0 ⊦

User applied rule cut formula

And obtained the following new goals

Proof step 50:
(i0 + 1) * 6 < 2 ^ i0, j0 < 6, 2 ^ i0 ≤ (i0 * 6 + j0) + 1, 36 ≤ i0 * 6 + j0, 0 ≤ j0, 0 ≤ i0, 0 < i0 * 6 + j0, (i0 + 1) * 6 ≤ i0 * 6 + j0 ⊦ (i0 * 6 + j0) + 1 ≤ i0 * 6 + 6

Rule argument

fma: (i0 * 6 + j0) + 1 ≤ i0 * 6 + 6

Additional information

Used simplifier rules: succ-rmerge: ⊦ i * j + i = i * (j + 1); from specification int-mult%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult%commutativity: ⊦ i * j = j * i; from specification int-mult%add-a: ⊦ i + j + i0 = (i + j) + i0; from specification int-basic2%add-c: ⊦ i + j = j + i; from specification int-basic2%succ-01: ⊦ i + 1 ≤ j ↔ i < j; from specification int-abs%lenls: ⊦ i ≤ j → ¬ j < i; from specification int-abs Used formulas: (i0 * 6 + j0) + 1 ≤ i0 * 6 + 6