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Theorem bar-restn

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

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: getbar-restn-02, getbar-restn-03, getbar-restn-04,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 5
Used lemmas: get-rec-01, getByteArray,
Used spec theorems:
- Used simplifier rules:
  - int-abs/sub-ls
  - int-abs/succ-02
  - int-abs/lels-03
  - int-abs/zero-gs
  - int-abs/sub-sub
  - list/bytelist/a
  - list/bytelist/c-07
  - list/javavalues/a
  - list/bytelist/c
  - valuesfuns/bytevalues-rec
  - int-abs/forward-le-01
  - intnat/pos-int
  - int-abs/lels-01
  - int-abs/succ-01
  - intnat/n2i-add
  - nat-basic2/c
  - nat-basic2/a
  - list-del/bytelist/restN-rec
  - nat-basic2/succ
  - list-del/bytelist/restN-zero
  - int-basic2/ax-04
  - int-basic2/add-a
  - int-basic2/add-c
  - int-abs/sub-zero-01