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Theorem gcd-mod
n ≠ 0 ⊦ gcd(m, n) = gcd(n, m % n)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
gcdexh
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 3
Proof steps: 10
Used lemmas:
gcd-rec1
,
gcd-c
,
Used spec theorems:
Used simplifier rules:
nat-div
/
div-elim
nat-basic1
/
f
nat-basic2
/
z
nat-mult
/
mult-base
nat-mult
/
mult-a
nat-mult
/
rsucc-02
nat-basic2
/
succ
nat
/
lels-01
nat-basic2
/
l-02
nat
/
lep
nat-basic2
/
c
nat-basic2
/
a
nat
/
eq-01
nat-mult
/
mult-c