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Proof step 3 from proof cong-comm (previous step)

⊦ j | abs(i - i0) ↔ ≡mod(i0, i, j)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
⊦ j | i - i0 ↔ ≡mod(i0, i, j)

Rule argument

Additional information

Used simplifier rules: div-abs-02: ⊦ i | abs(j) ↔ i | j; from specification int-gcd