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Theorem band-255-neg

⊦ i < 0 → band(i, 255) = (i + 1) % 256 + 255

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: band-max-04,
Used by units in proved state: bytes, byte,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 3
Used lemmas: band-commutativity, band-associativity, band-def, band-011x-neg,
Used spec theorems:
- Used simplifier rules:
  - int-basic2/add-in
  - int-basic2/add-a
  - int-abs/numsub
  - int-basic2/add-c
  - int2bits/int2bits-pos-num
  - int2bits/uint2bits-pos-num
  - int2bits/uint2bits-one
  - list/bitlista/Two
  - list/bitlista/Last
  - int-abs/lels
  - int-abs/lels-03