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Proof step 12 from proof all_prime_divisors-rec-02 (previous step)

prime(i), 0 < j, 0 < i ⊦ prime(i) ∧ i | i * j ∧ 2 ≤ i * j

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: lels-01: ⊦ ¬ i ≤ j ↔ j < i; from specification int-abs%commutativity: ⊦ i * j = j * i; from specification int-mult%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult%div-mult: ⊦ i | i * j; from specification int-gcd