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Theorem primes-not-neg

⊦ i < 0 ∧ i ∈ ints → ¬ primes(ints)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: primes-product-not-neg,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 3
Used lemmas: primes-def,
Used spec theorems:
- Used simplifier rules:
  - int-abs/forward-le-02
  - int-gcd/prime-not-neg