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Theorem getbar-rec

⊦ 0 < j → getbytearray(r, i, j, st) = st[r -- i '] .byteval + getbytearray(r, i + 1, j - 1, st)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: bar-zero, getba-eq, getba-neq-01, getbar-one, getbar-putbar-same-01, putbar-getbar-le,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 4
Used lemmas: get-rec-01, getByteArray,
Used spec theorems:
- Used simplifier rules:
  - int-abs/lels-04
  - int-abs/lels-01
  - int-abs/numsub
  - int-basic2/ax-04
  - valuesfuns/bytevalues-rec
  - list/javavalues/a
  - list/bytelist/app-01
  - list/bytelist/a
  - int-abs/forward-le-01
  - int-basic2/add-c
  - int-basic2/add-a
  - int-abs/mone-06
  - int-abs/numls-02
  - int-abs/forward-le-05
  - list/bytelist/c
  - int-abs/elim-sub