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Theorem middle-coef-max_exp-stronger
prime(i), 0 < j ⊦ i ^ max_exp(i, binom_coef(2 * j, j)) ≤ 2 * j
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment: Claim 2.1
Used by:
bertrand-middle-primes
,
bertrand-small-primes
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 6
Used lemmas:
middle-coef-max_exp-le
,
Used spec theorems:
int-pot
/
ls-pos
int-pot
/
exinpot
Used simplifier rules:
int-abs
/
forward-le-05
int-abs
/
lels-01
int-abs
/
forward-le-01
int-abs
/
forward-lels
int-abs
/
lels-03
int-abs
/
zero-gels-04
int-mult
/
zero-gr
int-mult
/
associativity
int-mult
/
commutativity
int-abs
/
lels
int-gcd
/
prime-one