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Theorem euler-phi-prime
⊦ prime(i) → euler-phi(i) = i - 1
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: 4
Proof steps: 6
Used lemmas:
count-i2j-length
,
coprimes-prime
,
euler-phi-def
,
Used spec theorems:
int-abs
/
Abs-pos
Used simplifier rules:
int-abs
/
lels
int-gcd
/
prime-one
int-basic1
/
forward-pos
int-abs
/
forward-le-05
int-abs
/
sub-ls-01
int-abs
/
leone
nat-basic2
/
c
nat-basic2
/
a
intnat
/
ini2-abs
intnat
/
n2i-add
int-abs
/
sub-sub
int-abs
/
Sub-def
int-basic2
/
add-a
int-basic2
/
add-c
int-abs
/
abs-08
int-abs
/
minus-sub
int-abs
/
sub-add-01
int-abs
/
sub-eq
int-mult
/
add-mult-two
int-abs
/
sub-ls
int-basic1
/
two-ls
int-mult
/
one-01
int-mult
/
associativity
int-mult
/
commutativity
oelem
/intlista/
lel