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Theorem intshiftright-ls-01
⊦ 0 ≤ j ∧ j < 32 → (i i>> j < 0 ↔ i < 0)
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
intshiftright-ls
,
Used by units in proved state:
byte
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 10
Proof steps: 24
Used lemmas:
band-011x-pos-02
,
intshiftrsign
,
Used spec theorems:
int-div
/
mod-zero-05
list-del
/bitlista/
sublist-rec
int2bits
/
bits2int-neg
int2bits
/
bits2uint-not-zero
list-last
/bitlista/
mk-rec
Used simplifier rules:
int2bits
/
int2bits-first
list
/bitlista/
in-12
bitlista
/
inmklist-01
int2bits
/
bits2uint-not-neg-01
int2bits
/
bits2int-pos
int2bits
/
bits2uint-zeros
bitopsaux
/
succ-truein-01
nat-basic2
/
c
nat-basic2
/
a
nat-basic2
/
one-03
list
/bitlista/
len-02
int2bits
/
int2bits-zero
list-last
/bitlista/
mk-in
int-abs
/
forward-le-02
int-abs
/
forward-lsle
int2bits
/
bits2uint-not-neg
int-abs
/
zero-gels-01
int-basic1
/
lst-01
list
/bitlista/
c-06
list-last
/bitlista/
mk-zero
list
/bitlista/
Nil
int2bits
/
int2bits-first-03
list
/bitlista/
e-01
int-basic1
/
ls-01
int-abs
/
neg-05
bitopsaux
/
invert-one
int-abs
/
lels-02
bitlista
/
inmklist
int2bits
/
int2bits-truein
list
/bitlista/
in-14
list
/bitlista/
c
list-data
/bitlista/
elim-list-c
nat
/
elim-pred-c
nat
/
pred-03
list
/bitlista/
app-02-ant
list-last
/bitlista/
mk-empty
intnat
/
abs-zero
int2bits
/
int2bits-not-empty
list-data
/bitlista/
l
int-abs
/
absle
int-abs
/
lels-03
int-abs
/
numlelsdel
list
/bitlista/
in-06
int-abs
/
lels-01
int-abs
/
lels-04
int2bits
/
int2bits-pos-num
int2bits
/
uint2bits-pos-num
int2bits
/
uint2bits-one
list
/bitlista/
Two
list
/bitlista/
Last
list
/bitlista/
c-07
list
/bitlista/
a
list
/bitlista/
in-append
list
/bitlista/
in-17
int2bits
/
int2bits-first-02
int-abs
/
forward-le-01
int-abs
/
forward-le-05
int-abs
/
lels