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Theorem divides-pot-prime

⊦ prime(i) ∧ 0 < j0 ∧ j ≠ 0 → (i | j ^ j0 ↔ i | j)

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: 3
Proof steps: 8
Used lemmas: prime-divides-one, divides-mult-01, prime-divides,
Used spec theorems:
- int-pot/Pot-pos
Used simplifier rules: