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Theorem ushort-pos-02
⊦ ~65536 ≤ i ∧ i < 0 → us2i(i2s(i)) = i + 65536
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: 8
Proof steps: 16
Used lemmas:
sis-neg-low
,
sis-neg-high
,
num-issi
,
ushort-pos
,
ushort-neg
,
Used spec theorems:
int-div
/
modex
int-div
/
mod-zero-05
Used simplifier rules:
int-abs
/
numlsledel-01
int-div
/
mod-lsz
int-mult
/
zero-ls
int-mult
/
associativity
int-mult
/
commutativity
int-div
/
nummult-ls-01
int-div
/
nummult-ls-03
int-abs
/
mone-06
int-abs
/
lels-02
int-abs
/
numadd-01
int-div
/
mod-ngez
int-abs
/
abs-08
int-abs
/
neg-13
int-abs
/
numls-02
int-abs
/
anti
int-div
/
mod-ls-zero
int-basic1
/
numlsf
int-abs
/
numle-02
int-basic2
/
add-in
int-basic1
/
lst
int-abs
/
lels-01
int-basic2
/
eq
int-basic2
/
add-a
int-basic2
/
add-c
int-abs
/
numleledel-01
int-abs
/
zero-gels-03
int-abs
/
lels-03
int-abs
/
zero-gels-01
int-abs
/
forward-lsle
int-abs
/
forward-le-01
int-abs
/
lels
int-abs
/
forward-lels
int-abs
/
forward-le-02