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Theorem divides-add
⊦ i | j → (i | j + j0 ↔ i | j0)
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
coprime-divides-01
,
divides-mult-add
,
gcd-divides-both-h
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 9
Used lemmas:
div-mult
,
divides
,
Used spec theorems:
Used simplifier rules:
int-mult
/
dist-rmerge
int-mult
/
eq-dist
int-mult
/
associativity
int-mult
/
commutativity
int-basic2
/
add-a
int-basic2
/
add-c
int-abs
/
elim-sub