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Proof step 5 from proof modmod-mult-09 (previous step)

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

User applied rule insert equation

And obtained the following new goals

Proof step 6:
j < 0 ⊦ (i % ~ j * i0) % ~ j = (i * i0) % j

Rule argument

pos: left 1 flags: discard

Additional information