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Proof step 6 from proof prime-def-prime (previous step)

2 ≤ i ∧ (∀ i0. 1 < i0 ∧ i0 < i → ¬ i0 | i), 0 < i, 1 < i, j | i, prime(j), j * j ≤ i ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
2 ≤ i, 0 < i, j | i, prime(j), j * j ≤ i, 0 ≤ i, ∀ i0. 1 < i0 ∧ i0 < i → ¬ i0 | i ⊦

Rule argument

Additional information

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