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Proof step 14 from proof coef-fac-divides (
previous step
)
fac(j - 1) * fac(i - j) | fac(i - 1), fac(j) * fac(i - 1 + j) | fac(i - 1), 0 < j, j < i, 0 ≤ j, 1 < i, 0 < i ⊦ fac(j) * fac(i - j) | fac(i)
Lemma
coef-fac-divides-h