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Theorem cast-mult-add
⊦ 0 < i → cast(i, j * 2 ^ i + j0) = cast(i, j0)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
cast-add-2pot
,
cast-add-2pot-01
,
cast-law-add-one
,
cast-law-add-pos-01
,
cast-law-mult-one
,
cast-law-mult-pos
,
cast-law-neg
,
cast-mult-neg-02
,
cast-sub-2pot
,
Used by units in proved state:
byte
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 9
Proof steps: 17
Used lemmas:
cast-mult-add-h
,
cast-mult-pos
,
cast-mult-2pot
,
cast-mult-add-h-01
,
cast-mult-neg
,
Used spec theorems:
int-div
/
modex
Used simplifier rules:
int-mult
/
zero-ge-add
int-pot
/
zero
int-pot
/
mod-ngez-01
int-div
/
div-elim-pospos
int-abs
/
lels-04
int-abs
/
succ-02
int-abs
/
numls-02
int-abs
/
mone-06
int-mult
/
Mult-zero
int-basic2
/
add-zero
int-abs
/
lels-02
int-mult
/
one
int-abs
/
lels-03
int-abs
/
anti
int-abs
/
zero-gels-01
int-abs
/
zero-gels-04
int-abs
/
forward-le-02
int-abs
/
forward-lsle
int-abs
/
forward-le-04
int-abs
/
forward-lele
int-abs
/
forward-lels
int-abs
/
forward-le-01
int-abs
/
neg-13
int-abs
/
abs-08
int-abs
/
zero-gels-03
int-basic2
/
add-c
int-basic2
/
add-a
int-mult
/
commutativity
int-mult
/
associativity
int-mult
/
dist-rmerge
int-pot
/
pot2-pos
int-abs
/
lels-01
int-basic1
/
ls-01
int-abs
/
lels
int-pot
/
mod-lsz
int-div
/
div-elim-negpos
int-abs
/
forward-le-05