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Proof step 26 from proof coef-le-2pot (previous step)

2 * j - j = j, 2 ^ (2 * j) * 2 = Σ countFun(0, 2 * j + 1, λ j0. binom_coef(2 * j + 1, j0)), 0 < j, 0 ≤ j, 2 ^ (2 * j) < fac(2 * j + 1) / (fac(j + 1) * fac(j)) ⊦ fac(2 * j + 1) / (fac(j + 1) * fac(j)) = fac(2 * j + 1) / (fac(2 * j - j) * fac(j + 1)), fac(j + 1) * fac(j) = fac(2 * j - j) * fac(j + 1)

User applied rule insert equation

And closed the goal!

Rule argument

pos: left 1 flags: discard

Additional information

Used simplifier rules: commutativity: ⊦ i * j = j * i; from specification int-mult