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Theorem band-011x-neg-03
⊦ ¬ false ∈ int2bits(i).rest ∧ 0 ≤ i → band(~ j, i) = band(i + 1 - j, i)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
band-011x-neg-04
,
intshiftrzero-prop-01
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 14
Proof steps: 25
Used lemmas:
band-011x-pos-02
,
band-011x-neg-02
,
Used spec theorems:
int-div
/
mod-rec
int-basic2
/
add-c
int-div
/
mod-add-01
int-div
/
mod-zero-03
int-div
/
mod-zero-05
int-abs
/
Abs-neg
Used simplifier rules:
int-abs
/
abs-06
int-abs
/
succ-02
int-abs
/
forward-le
int-abs
/
lels-03
int-abs
/
minus-sub
int-abs
/
neg-06
int-abs
/
Abs-pos
int-abs
/
sub-le
int-abs
/
leone
int-abs
/
numls-03
int-abs
/
numsub
int-abs
/
bet
int-abs
/
sub-eq
int-abs
/
Sub-def
int-basic2
/
add-in
int-abs
/
sub-add-01
int-abs
/
sub-ls
int-basic2
/
lst-03
int-abs
/
forward-le-05
int-abs
/
neg-15
int-abs
/
sub-sub
int-abs
/
sub-add-06
int-abs
/
sub-add-09
int-abs
/
lsone
int-basic2
/
ls-01
int-abs
/
sub-ls-01
int-abs
/
succ-01
int-abs
/
mone-06
int-abs
/
numls-02
int-abs
/
neg-03
int-abs
/
negeq
int-div
/
mod-neg-01
int-abs
/
numadd-01
int-abs
/
negle-07
int-abs
/
sub-le-01
int-basic2
/
add-zero
int-basic2
/
add-a
int-basic2
/
add-c
int-abs
/
forward-lsle
int-abs
/
zero-gs
int-abs
/
zero-gels-04
int-abs
/
forward-le-04
int-abs
/
forward-lele
int-abs
/
lels-04
int-abs
/
lels-01
int-abs
/
lels
int-abs
/
neg-05
int-abs
/
forward-le-01