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Proof step 10 from proof mod-abs-pos (previous step)

0 ≤ i % ~ j, j < 0, 0 ≤ i ⊦ i % ~ j = i |%| j, j = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: zero-gels-01: ⊦ i < 0 ∧ 0 ≤ j → i < j; from specification int-abs%forward-lsle: ⊦ i < j ∧ j ≤ j0 → i < j0; (forward) from specification int-abs%forward-le-01: ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward) from specification int-abs%mod-neg: j ≠ 0 ⊦ i % ~ j = i % j; from specification int-div