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Proof step 14 from proof middle-coef-divides-not (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: fac-not-zero: ⊦ fac(i) * fac(j) ≠ 0;%commutativity: ⊦ i * j = j * i; from specification int-mult%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult