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Theorem band-mod256-neg
⊦ 0 ≤ i ∧ 127 < i % 256 → band(255, i % 256 - 256) = i % 256
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: 11
Used lemmas:
band-associativity
,
band-def
,
band-011x-neg
,
band-commutativity
,
Used spec theorems:
int-div
/
mod-zero-05
int-abs
/
Abs-neg
int-div
/
mod-less-01
int-abs
/
forward-lels
Used simplifier rules:
int-abs
/
lels-01
int-abs
/
lels-04
int-abs
/
numle-02
int-abs
/
Abs-pos
int-abs
/
numls-03
int-abs
/
neg-06
int-abs
/
negle-07
int-abs
/
numle-03
int-abs
/
mone-05
int-div
/
mod-zero-01
int-abs
/
lels
int-basic2
/
add-zero
int-div
/
mod-zero
int-abs
/
numlsf-01
int-basic2
/
add-c
int-basic2
/
add-a
int-abs
/
numsub
int-abs
/
sub-add-01
int2bits
/
int2bits-pos-num
int2bits
/
uint2bits-pos-num
int2bits
/
uint2bits-one
list
/bitlista/
Two
list
/bitlista/
Last
int-abs
/
sub-ls
int-div
/
mod-less-01