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Theorem primes-le-2

⊦ primes(ints) ∧ ¬ dups(ints) ∧ ints ≠ [] → (max(ints) ≤ 2 ↔ ints = 2 ')

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 4
Used lemmas: max-le-rec, primes-rec, max-one,
Used spec theorems:
- Used simplifier rules:
  - int-gcd/prime-two-01
  - list-dup/intlista/dups-cons
  - list/intlista/c-03
  - list/intlista/c
  - list/intlista/e-01
  - list/intlista/a
  - int-gcd/prime-le-2
  - list/intlista/in-06