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Proof step 7 from proof mod-abs-pos (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
j < 0, 0 ≤ i ⊦ i |%| ~ j = i |%| j, j = 0

Rule argument

Additional information

Used simplifier rules: mod-zero-06: ⊦ 0 ≤ i ∧ j ≠ 0 → ¬ i % j < 0; from specification int-div%mod-neg: j ≠ 0 ⊦ i % ~ j = i % j; from specification int-div