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Proof step 7 from proof cong-mult-rew (previous step)

≡mod(i0, i2, j) ⊦ j | i * i0 - i1 ↔ j | abs(i * i2 - i1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
≡mod(i0, i2, j) ⊦ j | i * i0 - i1 ↔ j | i * i2 - i1

Rule argument

Additional information

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