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Theorem all_prime_divisors-last

⊦ all_prime_divisors(i) ≠ [] ∧ ¬ prime(i) → all_prime_divisors(i).last = max_prime_divisor(i)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: all_prime_divisors-ordered,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: all_prime_divisors-base, all_prime_divisors-rec,
Used spec theorems:
- Used simplifier rules:
  - list/intlista/e-02
  - list/intlista/a
  - list-last/intlista/last-def
  - int-abs/lels-01