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Theorem rightshift-8-02

⊦ i >> 8 = bytes2int(fillsgn(2, int2bytes(i)).butlast)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 22
Proof steps: 43
Used lemmas: fillsgn-longer, int2bytes-byte, int2bytes-byte-neg, int2bytes-minus-256, int2bytes-rec-neg-256, int2bytes-rec-neg-256-01, bytes2int-one, int2bytes-last-01, int2bytes-rec-pos, bytes2int-zero, fillsgn-pos, int2int, fillsgn-neg, int2bytes-empty, rightshift-8,
Used spec theorems:
- intops/shiftright-pos-div
- intops/shiftright-neg-mone
- list-last/bytelist/bc
- list-data/bytelist/lf-01
- intops/shiftright-neg-div-01
- intops/shiftright-neg-div-02
- int-div/div-zero-02
Used simplifier rules:
- nat/ge
- nat/lels-01
- nat-basic1/lstwo
- int-basic1/numlslsdel
- list/bytelist/len-02
- list-last/bytelist/butlast-def
- int-abs/numlelsdel-01
- int-abs/abs-08
- int-abs/neg-13
- int-abs/numls-02
- int-abs/anti
- int-basic2/add-a
- int-basic2/add-c
- list/bytelist/e
- int-abs/sub-eq
- int-abs/forward-lels
- int-abs/numlelsdel
- byte/num-ibbi
- int-abs/lels-03
- int-abs/forward-le-02
- list/bytelist/c-05
- int-abs/forward-lele
- int-abs/numleledel-01
- int-div/div-eq-zero
- int-abs/forward-le
- int-abs/absle
- list/bytelist/in-17
- list-last/bytelist/b
- list/bytelist/c-03
- list/bytelist/in-14
- list-data/bytelist/elim-list
- list/bytelist/a
- list/bytelist/app
- list/bytelist/c
- list-last/bytelist/mklist-one
- nat-basic1/f
- nat-basic1/lf-02
- int-abs/zero-gels-04
- int-abs/lels-01
- int-abs/lels-04
- nat/not-zero
- int-abs/forward-le-01
- int-abs/lels
- nat/lels
- list-data/bytelist/l
- nat-basic1/one