[Imprint]
[Data Privacy Statement]
[E-Mail]
View
long theorem info
. View
the proof
. Back to
main index
. View
the specification
. View
theorem base summary
, View
theorem base listing
, the
used properties by spec
, the
dependency list
, the
symbol table
,
Theorem fermat-2
⊦ prime(j) ∧ gcd(j, i) = 1 → ≡mod(i ^ (j - 1), 1, j)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
fermat-2-mod
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 10
Proof steps: 14
Used lemmas:
fermat-1
,
cong-mult-rew
,
congmod-inverse
,
Used spec theorems:
int-pot
/
Pot-pos
Used simplifier rules:
int-gcd
/
gcd-com
int-mult
/
one
int-mult
/
eq-nonzero
int-mult
/
associativity
int-mult
/
neq-not-zero
int-abs
/
sub-pred
int-mult
/
commutativity
int-abs
/
lels
int-gcd
/
prime-not-neg-01