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Theorem getbar-anyrec

⊦ 0 ≤ j0 ∧ j0 ≤ j → getbytearray(r, i, j, st) = getbytearray(r, i, j0, st) + getbytearray(r, i + j0, j - j0, st)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: bar-neq-soffset, bar-sublist, getbar-restn-01,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 8
Used lemmas: bytevalues, getarray-offset, getByteArray,
Used spec theorems:
- Used simplifier rules:
  - list/bytelist/a
  - list/bytelist/app-01
  - int-basic2/add-c
  - int-basic2/add-a
  - int-abs/lep
  - int-abs/elim-sub
  - int-abs/forward-le-01
  - int-abs/forward-lele
  - list/javavalues/a
  - int-abs/lels-01
  - int-abs/lels-04