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Proof step 1 from proof middle-coef-larger-strongest (conclusion)

0 < i ⊦ binom_coef(2 * i, i) * 2 * i ≥ 4 ^ i

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
binom_coef(2 * i, i) * 2 * i < 4 ^ i, 0 < i ⊦

Rule argument

Additional information

Used simplifier rules: forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs%ax-01: ⊦ i ≥ j ↔ ¬ i < j; from specification int-abs