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Proof step 1 from proof middle-coef-max_exp-le (conclusion)

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

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, j, i] flags: rewrite, current

Additional information

Used simplifier rules: lels-01: ⊦ ¬ i ≤ j ↔ j < i; from specification int-abs%zero-gels-04: ⊦ i ≤ 0 ∧ 0 ≤ j → i ≤ j; from specification int-abs Used terms: i0, j, i