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Proof step 13 from proof prime-def-mod (previous step)

1 < j, 0 < j, ∀ i. 1 < i ∧ i * i ≤ j → j % i ≠ 0 ⊦ 2 ≤ j ∧ (∀ i. 1 < i ∧ i < j → ¬ i | j)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information