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Theorem cast-min
⊦ 0 < i → ~(2 ^ (i - 1)) ≤ cast(i, j)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
cast-nls
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 5
Proof steps: 10
Used lemmas:
cast-length
,
cast-one
,
cast-max
,
Used spec theorems:
int2bits
/
int2bits-lelen-02
intnat
/
abs-succ-02
Used simplifier rules:
nat
/
fle
nat
/
sub-ls
nat-basic2
/
a
nat-basic2
/
c
nat
/
pred-03
nat-basic1
/
one
int-abs
/
sub-eq-01
int2bits
/
int2bits-not-empty
list-data
/bitlista/
l
int-basic1
/
numlsf
nat-basic1
/
f
nat
/
lels-01
int-abs
/
forward-lels
int-abs
/
mone-06
int-abs
/
forward-le-01
int-abs
/
forward-lsle
int-basic2
/
ls
int-basic2
/
add-a
int-basic2
/
add-c
int-abs
/
mone-08
int-abs
/
zero-gels-01
int-abs
/
minus-add
int-abs
/
sub-ls
int-abs
/
succ-02
int-abs
/
ler
int-pot
/
2pot-leone
int-abs
/
lsone
int-abs
/
lels-03
int-abs
/
leone
int-abs
/
sub-le-01
int-abs
/
lels
int-abs
/
forward-le-05
int-abs
/
forward-le-02
int-abs
/
lels-01
int-abs
/
negle-13