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Proof step 10 from proof prime-divides-coef (previous step)

prime(j0), j0 ≤ j * 2 + 1, j + 2 ≤ j0, 0 < j, ∃ i0. (fac(j) * fac(j + 1)) * i0 = fac(j * 2 + 1), 0 ≤ j ⊦ j0 | fac(2 * j + 1) / (fac(j + 1) * fac(j))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information