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Theorem divides-prime

⊦ prime(j) → (i | j ↔ abs(i) = j ∨ abs(i) = 1)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: gcd-one-prime, gcd-primes, max_prime_divisor-divides-03,
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: div-one, divides-mone, div-abs-03, divides-neg, div-mult, divides, prime-def,
Used spec theorems:
Used simplifier rules: