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Proof step 4 from proof max_exp-divides (previous step)

prime(i), 0 < j ⊦ i ^ n→i(#oc(i, all_prime_divisors(j))) | j ∧ ¬ i | j / i ^ n→i(#oc(i, all_prime_divisors(j)))

User applied rule insert spec-lemma

And obtained the following new goals

Proof step 5:
⊦ 0 < i → Π all_prime_divisors(i) = i
Proof step 6:
0 < j → Π all_prime_divisors(j) = j, prime(i), 0 < j ⊦ i ^ n→i(#oc(i, all_prime_divisors(j))) | j ∧ ¬ i | j / i ^ n→i(#oc(i, all_prime_divisors(j)))

Rule argument

spec: intlist inst: name: all_prime_divisors-product seq: ⊦ 0 < i → Π all_prime_divisors(i) = i subst: [i] → [j] flags: []

Additional information

Used terms: j