[Imprint]
[Data Privacy Statement]
[E-Mail]
View
long theorem info
. View
the proof
. Back to
main index
. View
the specification
. View
theorem base summary
, View
theorem base listing
, the
used properties by spec
, the
dependency list
, the
symbol table
,
Theorem le-pos
⊦ 1 < i ∧ 0 ≤ j → (i ^ j ≤ i ^ j0 ↔ j ≤ j0)
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
ls-pos
,
pot-root-est
,
two-le
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 14
Proof steps: 29
Used lemmas:
notone
,
Pot-neg
,
notneg-01
,
grz
,
Pot-zero
,
Pot-pos
,
Used spec theorems:
int-abs
/
Abs-neg
int-div
/
one-04
int-mult
/
le-pos-01
int-abs
/
le-def
Used simplifier rules:
int-abs
/
anti
int-abs
/
lsone
int-basic1
/
elim-pred
int-abs
/
numle-02
int-mult
/
le-one
int-abs
/
numle-03
int-abs
/
mone-05
int-abs
/
lenls
int-abs
/
forward-lsle
int-abs
/
lels-02
int-abs
/
neg-06
int-abs
/
neg
int-basic1
/
ls-01
int-abs
/
zero-gels-01
int-abs
/
zero-gels-03
int-abs
/
forward-le
int-abs
/
forward-le-01
int-abs
/
forward-le-02
int-abs
/
forward-le-04
int-abs
/
forward-lele
int-mult
/
zero-le
int-mult
/
associativity
int-mult
/
commutativity
int-abs
/
numlef-01
int-abs
/
mone-06
int-abs
/
numls-02
intnat
/
rax-04
nat-basic2
/
s
intnat
/
labs
int-abs
/
absle
nat-basic2
/
a
nat-basic2
/
c
int-basic1
/
irref
int-basic2
/
succ-01
int-abs
/
forward-lels
int-basic1
/
trans
int-basic1
/
lf-01
int-abs
/
lels-01
int-abs
/
leone
int-abs
/
numlsf-02
int-abs
/
numlsledel-01
int-abs
/
numleledel-01
int-abs
/
succ-01
int-basic2
/
add-a
int-basic2
/
add-c
int-abs
/
lels
int-abs
/
lels-03