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Theorem modzero-01
⊦ i < 0 ∧ j0 < j ∧ 0 ≤ j → i * j + j0 < 0
Type: A user defined theorem
Validity: The proof is valid.
Features: simp,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 2
Proof steps: 3
Used lemmas:
zero-left
,
minus-one
,
commutativity
,
associativity
,
one
,
dist-rsplit
,
zero-ge-01
,
Used spec theorems:
Used simplifier rules:
int-abs
/
lels-01
int-basic2
/
ls-01
int-basic1
/
ls-01
int-abs
/
anti
int-basic1
/
lf-02
int-abs
/
forward-lsle
int-basic2
/
add-zero
int-basic2
/
add-a
int-basic2
/
add-c
int-abs
/
lels-03
int-abs
/
lels
int-abs
/
les
int-abs
/
neg-15
int-abs
/
sub-le-01