[Imprint]
[Data Privacy Statement]
[E-Mail]
View
long theorem info
. View
the proof
. Back to
main index
. View
the specification
. View
theorem base summary
, View
theorem base listing
, the
used properties by spec
, the
dependency list
, the
symbol table
,
Theorem div-elim3
⊦ j < 0 ∧ i < 0 → (i0 = i / j ∧ j0 = i % j ↔ i = i0 * j + j0 ∧ j0 ≤ 0 ∧ j < j0)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
abs
,
div-elim-negneg
,
modex
,
zero-06
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas:
mod-neg
,
mod-neg-01
,
neg
,
neg-01
,
div-elim
,
Used spec theorems:
Used simplifier rules:
int-abs
/
forward-le-02
int-abs
/
neg
int-abs
/
zero-gels-01
int-abs
/
neg-10
int-abs
/
negeq
int-mult
/
zero-left
int-mult
/
associativity
int-mult
/
commutativity
int-basic2
/
add-zero-rev
int-basic2
/
add-a
int-basic2
/
add-c
int-abs
/
lenls
int-abs
/
lels-03
int-abs
/
neg-02
int-abs
/
neg-12
int-mult
/
minus-left
int-abs
/
neg-11
int-abs
/
negle-07
int-abs
/
neg-01