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Theorem coprimes-max
⊦ 1 < i → max(coprimes(i)) < i
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 8
Proof steps: 11
Used lemmas:
count-one
,
count-i2j-in
,
filterFun-in
,
filterFun-base
,
counti2j-empty
,
max-def
,
count-i2j-max
,
max-empty
,
filterFun-max
,
coprimes-def
,
Used spec theorems:
Used simplifier rules:
int-abs
/
forward-le
int-abs
/
forward-lele
int-basic1
/
forward-pos
int-abs
/
forward-le-05
int-abs
/
lels
int-abs
/
lels-03
int-abs
/
forward-lsle
int-abs
/
anti
int-gcd
/
gcd-zero-04
int-gcd
/
gcd-same-01
int-abs
/
leone
int-abs
/
ler
oelem
/intlista/
lel
int-gcd
/
gcd-one-01
int-gcd
/
gcd-com