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Theorem cast-add-2pot-h
⊦ ~(2 ^ i) < j ∧ j < 0 ∧ 0 < i → cast(i, j + 2 ^ i) = cast(i, j)
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
cast-mult-add-h
,
cast-mult-add-h-01
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 20
Proof steps: 38
Used lemmas:
cast-mod-pos-low
,
cast-mod-pos-high
,
cast-mod-neg-high
,
cast-mod-neg-low
,
Used spec theorems:
int-basic2
/
add-c
int-div
/
mod-add1-posneg-pos
int-div
/
mod-zero-05
Used simplifier rules:
int-abs
/
forward-lels
int-pot
/
pot2-ls-pred
int-abs
/
succ-01
int-abs
/
sub-le-01
int-pot
/
le-same
int-basic2
/
add-in
int-pot
/
two-zero
int-pot
/
two-lez-01
int-abs
/
bet-01
int-abs
/
sub-eq
int-basic2
/
lst-01
int-abs
/
anti
int-abs
/
forward-le-04
int-pot
/
pot2-subls
int-basic2
/
ls-01
int-pot
/
ls-same
int-basic2
/
add-zero
int-pot
/
pot2-pos
int-pot
/
two-lsz
int-div
/
mod-same
int-pot
/
zero
int-abs
/
succ-02
int-abs
/
sub-ls
int-basic1
/
ls-01
int-abs
/
abs-08
int-basic2
/
add-a
int-abs
/
zero-gels-04
int-abs
/
negle-13
int-abs
/
lels-01
int-basic2
/
add-c
int-abs
/
lels-04
int-abs
/
zero-gels-01
int-abs
/
forward-lsle
int-abs
/
forward-le-01
int-abs
/
neg-07
int-abs
/
lels-03
int-abs
/
lels
int-abs
/
forward-le-02
int-abs
/
forward-le-05
int-abs
/
neg-13