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Proof step 10 from proof middle-coef-divides-not (previous step)

j | fac(2 * i) / (fac(2 * i - i) * fac(i)), 2 * i < j, prime(j), 0 < i, 0 ≤ i, ∃ i0. (fac(2 * i - i) * fac(i)) * i0 = fac(2 * i) ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information