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Proof step 2 from proof mult-03 (previous step)

i0 < j, 0 < i0, 0 < j, 1 < j, 0 < i, 0 < j0 ⊦ (i * j - i0) / (j0 * j) = (i - 1) / j0

User applied rule cut formula

And obtained the following new goals

Proof step 3:
i * j - i0 = (i - 1) * j + (j - i0), i0 < j, 0 < i0, 0 < j, 1 < j, 0 < i, 0 < j0 ⊦ (i * j - i0) / (j0 * j) = (i - 1) / j0
Proof step 6:
i0 < j, 0 < i0, 0 < j, 1 < j, 0 < i, 0 < j0 ⊦ i * j - i0 = (i - 1) * j + (j - i0), (i * j - i0) / (j0 * j) = (i - 1) / j0

Rule argument

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

Additional information

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