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Proof step 11 from proof mod-neq (previous step)

i * j = i * j0 + j1, abs(j1) < i ⊦ j1 = 0, i < 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
i * j = i * j0 + j1, abs(j1) < i, 0 ≤ i ⊦ j1 = 0

Rule argument

Additional information

Used simplifier rules: forward-le-01: ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward) from specification int-abs% ⊦ i < j ↔ ¬ j ≤ i; (ss)