[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 pot-square-est-02
⊦ 1 < i → ¬ 4 ^ i ≤ (i + 1) * (i + 1)
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: 16
Proof steps: 23
Used lemmas:
succ
,
Used spec theorems:
int-abs
/
zero-gs
int-mult
/
one
int-mult
/
dist-lsplit
Used simplifier rules:
intnat
/
rax-01
nat
/
pred-03
int-basic1
/
ls-01
intnat
/
num-i2n-le-02
int-abs
/
leone
nat
/
ls-01
nat-basic2
/
s
intnat
/
labs
int-abs
/
abs
int-basic1
/
irref
nat-basic2
/
a
nat-basic2
/
c
int-abs
/
numlelsdel-01
int-abs
/
sub-ls-01
int-abs
/
Sub-def
int-abs
/
elim-sub
int-abs
/
forward-le-01
int-abs
/
forward-le-05
int-abs
/
mone-06
int-abs
/
numls-02
int-abs
/
bet
int-basic1
/
forward-pos
int-abs
/
lels-01
int-mult
/
ls-pos
int-abs
/
lels
int-abs
/
forward-lele
int-mult
/
le-pos
int-abs
/
lels-03
int-abs
/
zero-gels-01
int-basic2
/
succ-01
int-abs
/
forward-le-02
int-abs
/
forward-lsle
int-basic1
/
lf-01
int-abs
/
numls-03
int-mult
/
numls-03
int-mult
/
numls-06
int-mult
/
zero-ge-02
int-abs
/
zero-gels-04
int-basic2
/
add-in
int-mult
/
dist-rmerge
int-mult
/
add-mult-two
int-mult
/
succ-rmerge
int-mult
/
associativity
int-basic2
/
add-a
int-basic2
/
add-c
int-mult
/
eq-succ
int-mult
/
eq-pos
int-mult
/
commutativity