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Theorem zero-gr-add-02
⊦ 0 ≤ i0 ∧ i0 ≤ i1 ∧ j < 0 → ¬ 0 < i1 * j + i0
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
mod-nls
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 5
Proof steps: 7
Used lemmas:
zero-ls
,
one
,
eq-dist
,
zero-gr
,
commutativity
,
associativity
,
zero-left
,
Used spec theorems:
Used simplifier rules:
int-abs
/
forward-le-01
int-abs
/
forward-le-02
int-abs
/
forward-lsle
int-basic1
/
trans
int-basic2
/
add-zero-rev
int-abs
/
anti
int-basic1
/
lf-02
int-basic2
/
succ-01
int-basic1
/
lf-01
int-abs
/
forward-le-05
int-abs
/
lels-02
int-abs
/
lels-01
int-abs
/
lep-02
int-abs
/
lels
int-abs
/
forward-lels
int-abs
/
forward-le-04
int-abs
/
forward-lele
int-basic2
/
ls
int-abs
/
zero-gels-01
int-basic2
/
ls-01
int-abs
/
lenls
int-abs
/
numls-02
int-abs
/
mone-06
int-abs
/
lels-03
int-basic2
/
add-a
int-basic2
/
add-c