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Proof step 7 from proof prime-def-mod (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
j % i = 0, i * i ≤ j, 2 ≤ j, 0 < j, 0 < i, 1 < i, 0 ≤ j, ∀ i. 1 < i ∧ i < j → ¬ i | j, i < j → ¬ i | j ⊦

Rule argument

Additional information

Used simplifier rules: numlelsdel-01: i0 ≠ 0, i0 ≤ i ⊦ (* i) < j → (* i0) < j; from specification int-abs