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Proof step 3 from proof mod-nle (previous step)

j * i + i0 - j ≤ 0, i0 < i, j * i + i0 ≤ j, 0 ≤ i0, 0 < j, 0 < i ⊦ i = 1 ∧ i0 = 0

User applied rule cut formula

And obtained the following new goals

Proof step 4:
j * i + i0 - j = j * (i - 1) + i0, j * i + i0 - j ≤ 0, i0 < i, j * i + i0 ≤ j, 0 ≤ i0, 0 < j, 0 < i ⊦ i = 1 ∧ i0 = 0
Proof step 5:
j * i + i0 - j ≤ 0, i0 < i, j * i + i0 ≤ j, 0 ≤ i0, 0 < j, 0 < i ⊦ j * i + i0 - j = j * (i - 1) + i0, i = 1 ∧ i0 = 0

Rule argument

fma: j * i + i0 - j = j * (i - 1) + i0

Additional information

Used formulas: j * i + i0 - j = j * (i - 1) + i0