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Proof step 5 from proof middle-coef-max_exp-big-primes (previous step)

j ^ i0 ≤ 2 * i, 2 * i < j ^ (i0 + 1), 0 < i, 2 < i, prime(j), j ≤ i, (2 * i) / 3 < j, 0 ≤ i0, j ^ i0 < j ^ (i0 + 1) ⊦ max_exp(j, binom_coef(2 * i, i)) = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: inst: name: middle-coef-max_exp-equality seq: i ^ i0 ≤ 2 * j, 2 * j < i ^ (i0 + 1), 0 ≤ i0, prime(i), 0 < j ⊦ max_exp(i, binom_coef(2 * j, j)) = Σ countFun(1, i0, λ i0. (2 * j) / i ^ i0 - 2 * j / i ^ i0) subst: [i0, j, i] → [i0, i, j] flags: rewrite, current

Additional information

Used simplifier rules: zero-gels-04: ⊦ i ≤ 0 ∧ 0 ≤ j → i ≤ j; from specification int-abs Used terms: i0, i, j