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Proof step 15 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 | i

User applied rule cut formula

And obtained the following new goals

Proof step 16:
j0 | (fac(j) * fac(j + 1)) * i, (fac(j) * fac(j + 1)) * i = fac(j * 2 + 1), 0 ≤ j, 0 < j, j + 2 ≤ j0, j0 ≤ j * 2 + 1, prime(j0) ⊦ j0 | i
Proof step 24:
(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)) * i, j0 | i

Rule argument

fma: j0 | (fac(j) * fac(j + 1)) * i

Additional information

Used formulas: j0 | (fac(j) * fac(j + 1)) * i