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Theorem max_exp-fac-gen-stronger

⊦ prime(i) ∧ 0 < j ∧ 0 ≤ i0 ∧ j < i ^ i0 → max_exp(i, fac(j)) = Σ countFun(1, i0 - 1, λ j0. j / i ^ j0)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 4
Used lemmas: max_exp-fac-gen,
Used spec theorems:
- intlist/countFun-last
Used simplifier rules:
- int-abs/forward-le-05
- oelem/intlista/transitivity
- int-abs/forward-le-01
- int-basic1/forward-pos
- int-abs/zero-gels-04
- int-div/div-zero-06
- intlist/sum-app
- intlist/sum-one
- int-basic2/add-zero
- int-basic2/add-a
- int-basic2/add-c
- list/intlista/a
- int-abs/leone
- int-abs/lels
- int-abs/anti
- oelem/intlista/lel
- int-pot/Pot-zero
- int-abs/lsone
- int-abs/lels-03