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Theorem prime-divides

⊦ prime(i) → (i | j * j0 ↔ i | j ∨ i | j0)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: divides-pot-prime, isSquare-mult-aux, max_prime_divisor-divides-02, max_prime_divisor-divides-03, mod-square-10, prime-divides-01, prime-mult-eq, square-neq-any-pos-02, square-prime-eq,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 4
Used lemmas: divides-mult-01, gcd-one-prime, coprime-divides-02,
Used spec theorems:
- Used simplifier rules:
  - int-mult/associativity
  - int-mult/commutativity