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Proof step 2 from proof max_exp-zero-01 (previous step)

prime(i), 0 < j ⊦ max_exp(i, j) = 0, i | j

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: inst: name: max_exp-def seq: ⊦ max_exp(i, j) = n→i(#oc(i, all_prime_divisors(j))) subst: [j, i] → [j, i] flags: rewrite, current

Additional information

Used simplifier rules: nat2int-02: ⊦ n→i(n) = 0 ↔ n = 0; from specification intnat%oc-zero: ⊦ #oc(i, ints) = 0 ↔ ¬ i ∈ ints; from specification list-perm[intlista]%all_prime_divisors-in-01: ⊦ j ∈ all_prime_divisors(i) ↔ prime(j) ∧ j | i ∧ 2 ≤ i; from specification intlist Used terms: j, i