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Theorem prime-fac-divides

⊦ prime(i) ∧ i < j ∧ 0 < j → i | fac(j)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 8
Used lemmas: fac-zero, prime-fac-divides-01, fac-rec,
Used spec theorems:
- Used simplifier rules: