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Proof step 5 from proof gcd-one-prime (previous step)

prime(i) ⊦ i | j, ∀ i1. ¬(i1 > 1 ∧ i1 | i ∧ i1 | j)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
0 < i0, 1 < i0, prime(i), i0 | i, i0 | j ⊦ i | j

Rule argument

Additional information

Used simplifier rules: forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs%forward-pos: ⊦ i < j ∧ 0 < i → 0 < j ∧ 1 < j; (forward) from specification int-basic1% ⊦ i > j ↔ j < i; (s)