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Proof step 9 from proof div-mult-three-nls (previous step)

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

User applied rule cut formula

And obtained the following new goals

Proof step 10:
j * j * j < j * 3 + j0, j0 < 3, i0 < j, 0 < j, j * 3 + j0 < j * 3 + 3, 2 ≤ j, 0 ≤ j, 0 ≤ i0, 0 ≤ j0 ⊦ j = 2
Proof step 18:
j * j * j < j * 3 + j0, j0 < 3, i0 < j, 0 < j, 2 ≤ j, 0 ≤ j, 0 ≤ i0, 0 ≤ j0 ⊦ j = 2, j * 3 + j0 < j * 3 + 3

Rule argument

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

Additional information

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