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Theorem max_prime_divisor-divides-03

⊦ ¬ prime(i) ∧ 2 ≤ i ∧ prime(j) ∧ j | i ∧ j ≠ max_prime_divisor(i) → j | i / max_prime_divisor(i)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 8
Used lemmas: prime-one, prime-abs, max_prime_divisor-prime, divides-prime, prime-divides, max_prime_divisor-not-zero, divides, max_prime_divisor-divides,
Used spec theorems:
- int-div/div-mult
Used simplifier rules: