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Theorem exin2pot-neg
⊦ j < 0 → (∃ i. ~1 ≤ i ∧ j < ~(2 ^ i) ∧ ~(2 ^ (i + 1)) ≤ j)
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: 4
Proof steps: 8
Used lemmas:
pot2-ls-pred
,
two-le
,
ls-2pot
,
pot2-pos
,
succ
,
exin2pot
,
Used spec theorems:
int-abs
/
rew-eqzero
Used simplifier rules:
int-abs
/
forward-le-02
int-abs
/
negle-13
int-abs
/
neg-07
int-mult
/
zero-gr
int-div
/
nummult-ls-02
int-basic2
/
ls-01
int-basic2
/
succ-01
int-mult
/
numls-04
int-abs
/
forward-lsle
int-basic1
/
trans
int-basic1
/
lf-01
int-abs
/
forward-lele
int-abs
/
forward-le-04
int-abs
/
forward-lels
int-abs
/
forward-le-05
int-abs
/
neg-13
int-abs
/
negle-07
int-abs
/
zero-gels-01
int-abs
/
neg
int-basic2
/
ls-02
int-basic1
/
lf-02
int-abs
/
anti
int-abs
/
lels
int-basic1
/
ls-01
int-abs
/
lels-01
int-abs
/
numleledel-01
int-abs
/
forward-le-01
int-abs
/
sub-ls
int-abs
/
neg-05
int-abs
/
sub-ls-01
int-mult
/
commutativity
int-mult
/
associativity
int-mult
/
one
int-mult
/
numle-09
int-basic2
/
add-zero-rev
int-abs
/
neg-15
int-abs
/
sub-pred
int-abs
/
sub-le-01
int-basic2
/
add-a
int-basic2
/
add-c
int-abs
/
zero-gels-04
int-abs
/
Sub-def
int-abs
/
ler