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Theorem cast-law-neg
0 < i ⊦ cast(i, ~ j) = cast(i, ~ cast(i, j))
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
cast-law-sub-one-01
,
Used by units in proved state:
byte
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 7
Proof steps: 10
Used lemmas:
cast-zero
,
cast-mult-2pot
,
cast-mult-neg-01
,
cast-add-2pot-01
,
cast-add-2pot
,
cast-mult-add
,
cast-mult-neg-02
,
cast-law-neg-pos
,
Used spec theorems:
int-div
/
modex
Used simplifier rules:
int-pot
/
zero
int-pot
/
mod-ngez-01
int-abs
/
anti
int-abs
/
zero-gels-01
int-abs
/
zero-gels-04
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-pot
/
pot2-pos
int-basic1
/
ls-01
int-div
/
div-elim-negpos
int-abs
/
forward-le-05
int-abs
/
forward-le-02
int-abs
/
lels-03
int-abs
/
lels
int-abs
/
lels-01