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Proof step 18 from proof middle-coef-divides-not (previous step)

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

User applied rule insert equation

And closed the goal!

Rule argument

pos: left 1 flags: rotate, discard

Additional information

Used simplifier rules: divides-mult-01: ⊦ i | j → i | j * j0; from specification int-gcd%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult%commutativity: ⊦ i * j = j * i; from specification int-mult