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Proof step 5 from proof middle-coef-larger-strongest (previous step)

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 ⊦

User applied rule cut formula

And obtained the following new goals

Proof step 6:
¬ i < 0, 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 ⊦

Rule argument

fma: ¬ i < 0

Additional information

Used simplifier rules: ls-01: ⊦ i < j → ¬ j < i; from specification int-basic1 Used formulas: ¬ i < 0