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Proof step 2 from proof middle-coef-larger-stronger (previous step)

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

User applied rule insert lemma

And obtained the following new goals

Proof step 3:
0 < i ⊦ binom_coef(2 * i, i) * 2 * i ≥ 4 ^ i
Proof step 4:
binom_coef(2 * i, i) * 2 * i ≥ 4 ^ i, binom_coef(2 * i, i) < 4 ^ i / (2 * i), 0 < i ⊦

Rule argument

spec: inst: name: middle-coef-larger-strongest seq: 0 < i ⊦ binom_coef(2 * i, i) * 2 * i ≥ 4 ^ i subst: [i] → [i] flags: current, []

Additional information

Used terms: i