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Theorem notneg
⊦ 0 ≤ i ∧ 0 ≤ j → ¬ i ^ j < 0
Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp,
Comment:
Used by:
le-pos-01
,
ls-pos-02
,
notneg-02
,
pot-root-est
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 3
Proof steps: 6
Used lemmas:
one-01
,
Pot-zero
,
Pot-pos
,
notone
,
Used spec theorems:
Used simplifier rules:
int-abs
/
mone-06
int-abs
/
numlef-01
int-basic1
/
trans
int-basic1
/
lf-01
int-abs
/
numlsf-02
int-abs
/
lels-01
int-abs
/
forward-le-01
int-abs
/
zero-gels-03
int-abs
/
zero-gels-01
int-abs
/
sub-pred
int-mult
/
zero-ls-02
int-mult
/
associativity
int-mult
/
commutativity
int-abs
/
lels-02
int-abs
/
bet
int-abs
/
forward-le-05
int-abs
/
forward-lsle
int-abs
/
forward-le-02
int-abs
/
lels
int-abs
/
anti