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Theorem intshiftrsign-2pot-neg
⊦ i < 0 ∧ i % 2 ^ j = 0 ∧ 0 < j ∧ j < 32 → i i>> j = i / 2 ^ j
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
intshiftrsign-neg-01
,
Used by units in proved state:
byte
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 12
Proof steps: 22
Used lemmas:
intshiftrsign-rec-neg
,
intshiftrsign-zero
,
Used spec theorems:
int-div
/
mod-mult-04
int-pot
/
two-zero
int-div
/
modex
int-div
/
div-twoodd-01
int-div
/
div-mult-03
int-pot
/
zero
Used simplifier rules:
int-abs
/
sub-eq-01
int-abs
/
sub-le-01
int-abs
/
leone
int-mult
/
Mult-zero
int-pot
/
div2-2pot-04
int-pot
/
mod-2pot
int-div
/
div2-neg-odd
int-mult
/
zero-ls
int-mult
/
commutativity
int-mult
/
associativity
int-div
/
div-mult-03
int-pot
/
zero
int-basic1
/
numlslsdel
int-abs
/
sub-ls
int-abs
/
bet
int-abs
/
sub-ls-01
int-abs
/
mone-05
int-abs
/
numle-03
int-basic2
/
add-c
int-basic2
/
add-a
int-abs
/
numsub
int-abs
/
sub-add-01
int-div
/
div-ls-zero
intnat
/
abs-pred
int-abs
/
lels
int-abs
/
lels-03
int-abs
/
numlelsdel
int-abs
/
forward-le-02
int-abs
/
forward-le-05
int-basic1
/
forward-pos