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Proof step 6 from proof mod-nls-04 (previous step)

abs(i % j) < j, i % j < i0, i0 + j ≤ 1 ⊦ j = 0, j < 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
i % j < i0, abs(i % j) < j, 0 < j, i0 + j ≤ 1 ⊦

Rule argument

Additional information

Used simplifier rules: forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs% ⊦ i < j → ¬ j < i; (s)% ⊦ ¬ i < j → (i = j ↔ ¬ j < i); (ss)