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Theorem gcd-div-eq
⊦ i ≠ 0 → (i / gcd(i, j) = i0 ↔ i = i0 * gcd(i, j))
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: 2
Proof steps: 4
Used lemmas:
gcd-div1
,
mod-gcd
,
gcd-zero-zero
,
div-eq
,
Used spec theorems:
Used simplifier rules:
int-mult
/
commutativity
int-mult
/
associativity
int-div
/
div-eq-same