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Theorem coef-le-2pot
⊦ 0 < j → binom_coef(2 * j + 1, j) ≤ 2 ^ (2 * j)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
prime-product-between
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 14
Proof steps: 21
Used lemmas:
fac-zero-02
,
binom-def
,
coef-nls-zero
,
Binom-theorem-countFun
,
Used spec theorems:
int-pot
/
Pot-pos
intlist
/
sum-countfun-not-ls
Used simplifier rules:
int-abs
/
forward-le-05
int-abs
/
forward-le-01
int-pot
/
one-01
int-mult
/
zero-ge-add
int-basic1
/
ls-01
int-mult
/
zero-ge
int-abs
/
mone-06
int-abs
/
numls-02
int-basic2
/
pred
int-abs
/
lels
int-abs
/
lels-03
int-mult
/
numeq-03
int-mult
/
ls-forward
int-mult
/
ls-pos
oelem
/intlista/
lel
int-abs
/
lels-01
int-abs
/
le-add-02
int-basic2
/
eq
int-abs
/
zero-gels-04
int-mult
/
numle-12
int-mult
/
one
int-mult
/
numsub
int-mult
/
neq-not-zero
int-div
/
neqf
int-mult
/
le-same-01
int-abs
/
le-add
int-abs
/
numleledel-01
int-abs
/
numle-02
int-abs
/
sub-add-06
int-abs
/
sub-eq
int-mult
/
add-mult-two
int-basic2
/
add-a
int-basic2
/
add-c
int-mult
/
eq-pos
int-mult
/
associativity
int-mult
/
commutativity