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Theorem div-sub-01
j ≠ 0, i % j = 0, i0 % j = 0 ⊦ i / j - i0 / j = (i - i0) / 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:
div-mult-03
,
modex
,
Used spec theorems:
Used simplifier rules:
int-abs
/
sub-eq
int-mult
/
dist-sub-merge
int-mult
/
associativity
int-mult
/
commutativity
int-abs
/
Sub-def
int-basic2
/
add-a
int-basic2
/
add-c