[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-grz-01
⊦ i < 0 ∧ j ≠ 0 → ¬ 0 < i % j
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
abs-shift-01
,
mod-gez
,
mod-lsz-01
,
mod-nls-03
,
modmod-add-03
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 1
Proof steps: 4
Used lemmas:
div-elim-negneg
,
mod-pos-not-neg
,
mod-grz
,
mod-ls-same-02
,
Used spec theorems:
Used simplifier rules:
int-abs
/
negle-07
int-abs
/
abs-08
int-basic2
/
succ-01
int-abs
/
forward-le-05
int-abs
/
forward-le-02
int-basic1
/
trans
int-basic1
/
lf-01
int-abs
/
lels-03
int-abs
/
zero-gels-01
int-basic1
/
lst-01