[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 mod-rec-any
⊦ 0 < j → i |%| j = (i - j) |%| j
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
mod-mult-add
,
mod-plus
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 5
Proof steps: 10
Used lemmas:
mod-mult-04
,
mod-zero-neg
,
mod-rec-neg
,
mod-zero
,
mod-rec
,
Used spec theorems:
int-abs
/
Abs-neg
Used simplifier rules:
int-abs
/
forward-le-05
int-abs
/
forward-le-02
oelem
/intlista/
transitivity
int-abs
/
lels-01
int-abs
/
neg-03
int-abs
/
zero-gels-01
int-abs
/
forward-le-01
int-abs
/
Sub-def
int-abs
/
sub-eq
int-abs
/
abs-06
int-abs
/
forward-lsle
int-abs
/
forward-le
int-abs
/
lels
int-abs
/
sub-ls
int-basic2
/
add-zero
int-basic2
/
add-a
int-basic2
/
add-c
int-abs
/
neg-06
int-abs
/
minus-sub
int-abs
/
sub-ls-01
int-mult
/
add-mult-two
int-abs
/
sub-le-01
int-abs
/
lep-01
int-abs
/
anti
oelem
/intlista/
lel
int-abs
/
Abs-pos
int-basic2
/
ls
int-basic1
/
ls-01