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Theorem middle-coef-max_exp-equality

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)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: middle-coef-max_exp-big-primes, middle-coef-max_exp-le,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 10
Proof steps: 16
Used lemmas: max_exp-fac-gen-stronger, max_exp-mult, fac-le-zero, fac-pos-01, max_exp-div, fac-divides, binom-def,
Used spec theorems:
- intlist/countFun-mult
- intlist/sum-countFun-sub
Used simplifier rules: