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Proof step 8 from proof div-mult-three-nls (previous step)

j * j * j < j * 3 + j0, i0 < j, 2 ≤ j, 0 < j, j0 < 3, 0 ≤ j, 0 ≤ j0, 0 ≤ i0 ⊦ j = 2

User applied rule cut formula

And obtained the following new goals

Proof step 9:
j * 3 + j0 < j * 3 + 3, j * j * j < j * 3 + j0, i0 < j, 2 ≤ j, 0 < j, j0 < 3, 0 ≤ j, 0 ≤ j0, 0 ≤ i0 ⊦ j = 2
Proof step 17:
j * j * j < j * 3 + j0, i0 < j, 2 ≤ j, 0 < j, j0 < 3, 0 ≤ j, 0 ≤ j0, 0 ≤ i0 ⊦ j * 3 + j0 < j * 3 + 3, j = 2

Rule argument

fma: j * 3 + j0 < j * 3 + 3

Additional information

Used formulas: j * 3 + j0 < j * 3 + 3