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Proof step 4 from proof mod-mult (previous step)

¬ (i * j) % j < 0 ⊦ j = 0, (i * j) |%| j = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
⊦ j = 0, (i * j) |%| j = 0

Rule argument

Additional information

Used simplifier rules: commutativity: ⊦ i * j = j * i; from specification int-mult%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult%mod-mult-04: j ≠ 0 ⊦ (i * j) % j = 0; from specification int-div