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Proof step 21 from proof mod-zero-one (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 22:
i % j + i0 % j < 0, 0 < j, (i % j + i0 % j) / j < 0, 0 ≤ i, 0 ≤ i0 ⊦ (i % j + i0 % j) / j = 0, (i % j + i0 % j) / j = 1

Rule argument

Additional information

Used simplifier rules: ⊦ i < 0 ∧ 0 ≤ j → i < j; (s)%forward-le-02: ⊦ j < i ∧ i ≤ 0 → j < 0; (forward) from specification int-abs%forward-lsle: ⊦ i < j ∧ j ≤ j0 → i < j0; (forward) from specification int-abs% ⊦ i ≤ j ↔ ¬ j < i; (ss)