[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 ls-fin-add
⊦ n→i(m) < n→i(n) + (* i) ∧ 0 ≤ i → m < n + i→n(i)
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 5
Proof steps: 15
Used lemmas:
nat2int-04
,
num-n2i-ls-01
,
sub
,
i2i-pos
,
rax-04
,
nat2int-06
,
n2i-add
,
num-i2n-le-02
,
ls-int-ls-nat
,
num-n2i-ls-02
,
succ-01
,
abs-zero
,
pos-int
,
Used spec theorems:
Used simplifier rules:
nat
/
lels
nat
/
lez-01
nat-basic2
/
z-01
nat-basic2
/
succ
nat-basic1
/
ref-1
nat-basic2
/
s
nat-basic2
/
oz
nat
/
les
nat
/
lels-01
nat-basic2
/
l-02
int-abs
/
forward-le
nat-basic2
/
add-base
nat-basic1
/
zero
nat
/
eqle-one
nat-basic1
/
f
nat-basic1
/
lf-01
nat-basic1
/
lf-02
nat
/
ls-le-simp
int-basic2
/
ls-01
nat
/
eq-02
int-basic2
/
ls
int-abs
/
anti
int-abs
/
zero-gels-04
nat
/
pred-03
int-basic1
/
lf-02
int-abs
/
lels-02
int-basic2
/
succ-01
int-abs
/
numadd-01
int-abs
/
numls-02
int-abs
/
mone-06
int-abs
/
succ-02
int-abs
/
numls-01
nat-basic2
/
eq-01
int-abs
/
forward-le-01
int-basic1
/
irref
int-abs
/
numls-03
int-abs
/
forward-lsle
int-abs
/
forward-le-05
int-basic1
/
forward-pos
int-abs
/
forward-le-04
int-abs
/
sub-ls-01
int-abs
/
sub-add-01
int-abs
/
sub-eq
int-abs
/
leone
int-abs
/
sub-pred
nat
/
elim-pred-c
int-basic2
/
lst-03
int-basic2
/
lst-04
nat
/
add-num-01
nat-basic2
/
c
nat-basic2
/
a
int-basic2
/
add-zero-rev
int-basic2
/
add-a
int-basic2
/
add-c
int-abs
/
lels
int-abs
/
lels-03