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Theorem rightshift-8

⊦ 1 < # int2bytes(i) → i >> 8 = bytes2int(int2bytes(i).butlast)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: intrightshift-8, rightshift-8-02,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 9
Proof steps: 33
Used lemmas: bytes2int-one, int2bytes-byte, int2int, bytes2int-zero, int2bytes-last-01, int2bytes-rec-case, int2bytes-empty,
Used spec theorems:
Used simplifier rules:
- int-abs/Sub-def
- int-abs/abs-08
- int-abs/neg-13
- int-abs/numls-02
- int-abs/numlelsdel-01
- int-basic2/add-a
- int-basic2/add-c
- int-abs/sub-eq
- int-abs/zero-gels-03
- int-abs/forward-le-04
- int-abs/numlsledel
- int-abs/numleledel
- int-div/div-mult-num
- int-mult/one
- int-mult/associativity
- int-mult/commutativity
- int-div/nummult-ls-01
- int-mult/zero-ls
- int-div/nummult-ls-03
- int-abs/mone-06
- byte/num-ibbi
- list-last/bytelist/b
- list-last/bytelist/l
- int-abs/anti
- int-abs/numlelsdel
- int-abs/zero-gels-01
- int-basic1/numlslsdel
- int-abs/lels-03
- int-abs/forward-le-02
- int-div/div-eq-zero
- list/bytelist/len
- list/bytelist/a
- nat-basic2/one
- nat-basic2/a
- nat-basic2/c
- list-last/bytelist/butlast-def
- int-abs/forward-le
- list/bytelist/len-02
- int-abs/numlsledel-01
- int-abs/numleledel-01
- intops/rightshift-zero
- int-abs/lels-01
- int-abs/lels-04
- int-abs/forward-le-01
- int-abs/lels
- list-data/bytelist/l
- nat-basic1/one