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Proof step 3 from proof modmod-mult-02 (previous step)

i < 0, 0 < j ⊦ (i % j * i0 % j) % j = (i * i0) % j

User applied rule cut formula

And obtained the following new goals

Proof step 4:
0 < j, i < 0, i0 < 0 ⊦ (i % j * i0 % j) % j = (i * i0) % j
Proof step 7:
0 < j, i < 0 ⊦ (i % j * i0 % j) % j = (i * i0) % j, i0 < 0

Rule argument

fma: i0 < 0

Additional information

Used formulas: i0 < 0