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Theorem bytes2int-rec-01

⊦ 1 < # bytes → bytes2int(bytes) = bytes2int(bytes.butlast) * 256 + band(b2i(bytes.last), 255)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: bytes2int-1011x, bytes2int-diff, bytes2int-first-pos, bytes2int-int2bytes-len-eq, bytes2int-leading-zero, bytes2int-len-one-02, bytes2int-mklist-mones-01, bytes2int-mklist-zeros-01, bytes2int-neg, bytes2int-rec-first-zero, bytes2int-size, bytes2int-size-01, bytes2int-size-02, bytes2int-size-03, bytes2int-size-04, bytes2int-size-05, bytes2int-size-06, bytes2int-size-07, bytes2int-zero-03, bytes2int-zero-06,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 4
Used lemmas: bytes2int-rec,
Used spec theorems:
- Used simplifier rules:
  - int-mult/commutativity
  - intops/band-commutativity
  - int-basic2/add-c
  - list/bytelist/e-02
  - nat-basic2/c
  - nat-basic2/a
  - nat-basic2/one
  - list/bytelist/a
  - list/bytelist/len-02
  - list/bytelist/len
  - list-data/bytelist/l
  - nat-basic1/one
  - list-last/bytelist/last-elim