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Proof step 12 from proof coef-le-2pot (previous step)

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

User applied rule insert equation

And obtained the following new goals

Rule argument

pos: left 1 flags: discard

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