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Theorem gcd-rec-sub-03
⊦ gcd(i, j) = gcd(j, j - 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: 51
Proof steps: 62
Used lemmas:
gcd-zero-03
,
gcd-zero
,
gcd-same
,
gcd-zero-04
,
gcd-rec-sub
,
gcd-com
,
gcd-neg
,
gcd-abs-rew-02
,
gcd-rec-sub-02
,
Used spec theorems:
int-abs
/
absa
int-abs
/
ge-def
int-abs
/
sub-same
Used simplifier rules:
int-abs
/
elim-sub
int-abs
/
neg-11
int-abs
/
sub-add-09
int-abs
/
neg-12
int-abs
/
forward-lsle
int-abs
/
absle
int-abs
/
zero-gels-03
int-abs
/
neg-03
int-abs
/
sub-minus
int-abs
/
sub-add
int-abs
/
Abs-pos
int-abs
/
forward-le-01
int-abs
/
forward-le-05
int-abs
/
forward-lels
int-basic2
/
ls-02
int-abs
/
ge-def
int-basic2
/
add-zero
int-abs
/
forward-le-02
int-abs
/
abs-18
int-abs
/
subneg
int-basic2
/
ls
int-abs
/
zero-gels-01
int-abs
/
abseq
int-abs
/
lels-01
int-abs
/
lels-03
int-abs
/
lels
int-abs
/
forward-le-04
int-abs
/
lep-01
int-abs
/
lels-02
int-abs
/
anti
int-abs
/
negeq
int-abs
/
abs-16
int-abs
/
abs-08
int-abs
/
subsub
int-abs
/
neg
int-abs
/
neg-01
int-basic2
/
add-less
int-basic2
/
add-a
int-basic2
/
add-c
int-abs
/
neg-13
int-basic1
/
ls-01
int-abs
/
neg-07