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Proof step 12 from proof fermat-1 (previous step)

prime(j) ∧ 0 < ~ i → ≡mod(~ i ^ j, ~ i, j), prime(j), i < 0 ⊦ i = 0, ≡mod(i ^ j, i, j)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: zero-gels-01: ⊦ i < 0 ∧ 0 ≤ j → i < j; from specification int-abs%neg: ⊦ 0 < ~ i ↔ i < 0; from specification int-abs