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Theorem max_prime_divisor-nls-02

⊦ ¬ prime(i / max_prime_divisor(i)) ∧ ¬ prime(i) ∧ 2 ≤ i → ¬ max_prime_divisor(i) < max_prime_divisor(i / max_prime_divisor(i))

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 10
Proof steps: 20
Used lemmas: prime-not-neg, prime-small, div-mult, prime-mult-not, divides, max_prime_divisor-def, prime-ex-max,
Used spec theorems:
- int-mult/ls-same-01
Used simplifier rules: