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Proof step 2 from proof bertrand-big-primes (previous step)

0 < i, 2 < i, prime(j), j ≤ i, (2 * i) / 3 < j, j | binom_coef(2 * i, i) ⊦

User applied rule insert lemma

And obtained the following new goals

Proof step 3:
⊦ (2 * i) / 3 < j ∧ j ≤ i ∧ prime(j) ∧ 2 < i → max_exp(j, binom_coef(2 * i, i)) = 0
Proof step 4:
(2 * i) / 3 < j ∧ j ≤ i ∧ prime(j) ∧ 2 < i → max_exp(j, binom_coef(2 * i, i)) = 0, 0 < i, 2 < i, prime(j), j ≤ i, (2 * i) / 3 < j, j | binom_coef(2 * i, i) ⊦

Rule argument

spec: inst: name: middle-coef-max_exp-big-primes seq: ⊦ (2 * i) / 3 < j ∧ j ≤ i ∧ prime(j) ∧ 2 < i → max_exp(j, binom_coef(2 * i, i)) = 0 subst: [i, j] → [i, j] flags: current, []

Additional information

Used terms: i, j