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Proof step 19 from proof abs-shift (previous step)

¬ i < 0, 0 ≤ i % j ⊦ i % j = i % abs(j), j = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 20:
0 ≤ i % j, 0 ≤ i ⊦ i % j = i % abs(j), j = 0

Rule argument

Additional information

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