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Theorem noeth-modlep
⊦ abs(j) < j1 → abs(j) * i ≤ abs(j) * i0 + j0 ∧ 0 ≤ j0 ∧ j0 < abs(j) → i ≤ i0
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: 14
Proof steps: 27
Used lemmas:
ls-add-02
,
ls-pos
,
ls-forward
,
Mult-zero
,
ls-pos-01
,
numsucc
,
minus-one-01
,
dist-sub-split
,
one
,
dist-lsplit
,
commutativity
,
associativity
,
minus-left
,
Used spec theorems:
int-abs
/
ple-01
Used simplifier rules:
int-abs
/
zero-gels
int-basic2
/
succ-01
int-abs
/
zero-gels-01
int-abs
/
forward-le-02
int-abs
/
mone-08
int-abs
/
int-simp-05
int-abs
/
numls-03
int-abs
/
neg-07
int-abs
/
neg-13
int-abs
/
abs-08
int-abs
/
abs-05
int-abs
/
sub-eq
int-abs
/
sub-sub
int-abs
/
minus-add
int-basic2
/
add-zero
int-abs
/
sub-le-01
int-abs
/
sub-add-01
int-abs
/
negle-13
int-abs
/
neg-15
int-abs
/
subsub
int-abs
/
lenls
int-basic1
/
ls-01
int-abs
/
Abs-pos
int-basic1
/
lst-01
int-abs
/
sub-ls
int-abs
/
abs-16
int-abs
/
abs-09
int-abs
/
elim-sub
int-abs
/
mone-06
int-abs
/
numls-02
int-abs
/
succ-01
int-abs
/
ler
int-abs
/
anti
int-abs
/
int-simp-08
int-basic2
/
ls-01
int-basic1
/
irref
int-abs
/
lels-02
int-abs
/
succ-02
int-abs
/
abs-06
int-abs
/
forward-le-01
int-abs
/
forward-le-05
int-abs
/
lels-01
int-abs
/
sub-ls-01
int-abs
/
sub-pred
int-abs
/
zero-gels-04
int-abs
/
lels-03
int-abs
/
lels
int-abs
/
forward-lsle
int-basic2
/
ls
int-basic2
/
add-a
int-basic2
/
add-c