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Theorem exgcd-div
⊦ ∃ i0. i / gcd(i, j) = i0 ∧ gcd(i, j) * i0 = 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: 4
Proof steps: 6
Used lemmas:
gcd-zero
,
gcd-zero-zero
,
divides
,
gcd-div1
,
Used spec theorems:
int-div
/
div-mult
Used simplifier rules:
int-mult
/
zero-left
int-mult
/
associativity
int-mult
/
commutativity