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Proof step 9 from proof middle-coef-larger-strongest (previous step)

0 ≤ 2 ∧ 0 ≤ i, (2 ^ 2) ^ i = Σ countFun(0, 2 * i, λ j. binom_coef(2 * i, j)), binom_coef(2 * i, i) * 2 * i < 4 ^ i, 0 < i, 0 ≤ i ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information