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Theorem max_exp-rec

⊦ prime(i) ∧ i | j ∧ 0 < j → max_exp(i, j) = max_exp(i, j / i) + 1

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: max_exp-div-not, max_exp-mult-01, max_exp-not-div, max_exp-zero-02,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 5
Used lemmas: max_exp-def,
Used spec theorems:
- intlist/all_prime_divisors-rec-01
Used simplifier rules: