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Proof step 2 from proof mod-nls-02 (previous step)

i0 < i, i % j < 0, i % j < ~1, i0 < 0, i % j < i0, i0 ≤ i, 0 < i, i0 + 1 < i, abs(j) = 1 ∨ abs(j) ≤ i ⊦ j = 0

User applied rule cut formula

And obtained the following new goals

Proof step 3:
i % j < 0, i0 < i, i % j < 0, i % j < ~1, i0 < 0, i % j < i0, i0 ≤ i, 0 < i, i0 + 1 < i, abs(j) = 1 ∨ abs(j) ≤ i ⊦ j = 0

Rule argument

fma: i % j < 0

Additional information

Used formulas: i % j < 0