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Theorem gcd-num-one
⊦ rj.num ≠ 0 → gcd(rj.num, rj.denom) = 1
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
abs-num
,
denum-same
,
exrat-gcd1
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 5
Proof steps: 9
Used lemmas:
numerator-neg2
,
denominator-pos
,
denominator-zero-den
,
numerator-zero-den
,
numerator-neg1
,
denominator-zero
,
numerator-zero
,
numerator-pos
,
gen
,
Used spec theorems:
Used simplifier rules:
int-div
/
div-same
int-abs
/
abs-16
int-gcd
/
gcd-zero-04
int-abs
/
forward-le-05
int-abs
/
forward-le-02
int-abs
/
zero-gels-03
int-abs
/
lels-02
int-abs
/
anti
int-abs
/
abs-08
int-gcd
/
gcd-zero-zero
int-div
/
neg-01
int-abs
/
neg-10
int-gcd
/
div-gcd-zero
int-gcd
/
gcd-neg
int-gcd
/
gcd-div-gcd
int-gcd
/
gcd-com
int-abs
/
forward-le-04
int-gcd
/
gcd-one-01
int-abs
/
lels