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Theorem putbar-override

⊦ 0 ≤ j ∧ 0 ≤ j0 ∧ j ≤ j0 ∧ j0 + n→i(# bytes0) ≤ j + n→i(# bytes) → putByteArray(bytes, r1, j, putByteArray(bytes0, r1, j0, st)) = putByteArray(bytes, r1, j, st)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 8
Used lemmas: putbar-put-override, putBar-rec, putBar-empty,
Used spec theorems:
- Used simplifier rules:
  - int-abs/succ-02
  - int-abs/lels-03
  - int-abs/zero-gs
  - list-data/bytelist/l
  - nat-basic1/z
  - intnat/num-n2i-ls-02
  - int-basic2/ls-02
  - int-abs/forward-lels
  - int-abs/lels-04
  - int-abs/lels
  - list-data/bytelist/size-01
  - int-basic2/ax-04
  - int-abs/forward-lsle
  - int-basic2/ls
  - intnat/nat2int-08
  - list/bytelist/e-01
  - list/bytelist/c-08
  - list/bytelist/c-07
  - list/bytelist/app-02-ant
  - list/bytelist/e
  - int-abs/lels-01
  - int-basic2/add-c
  - int-basic2/add-a
  - int-abs/succ-01
  - nat-basic2/c
  - nat-basic2/a
  - intnat/n2i-add
  - list/bytelist/a
  - list/bytelist/len-02
  - list/bytelist/len
  - list/bytelist/c
  - int-abs/forward-le-01