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Proof step 17 from proof prime-divides-coef (previous step)

(fac(j) * fac(j + 1)) * i = fac(j * 2 + 1), 0 ≤ j, 0 < j, j + 2 ≤ j0, j0 ≤ j * 2 + 1, prime(j0), j0 | fac(j) * fac(j + 1) ⊦ j0 | i

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: int-gcd inst: name: prime-divides seq: ⊦ prime(i) → (i | j * j0 ↔ i | j ∨ i | j0) subst: [j0, j, i] → [fac(j + 1), fac(j), j0] flags: rewrite

Additional information

Used terms: fac(j + 1), fac(j), j0