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Theorem putByteArray-append

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

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 6
Proof steps: 11
Used lemmas: putByteArray-put-switch, putBar-rec, putBar-empty,
Used spec theorems:
- list/bytelist/a
Used simplifier rules:
- int-abs/numls-03
- int-abs/zero-gs
- intnat/nat2int
- int-abs/lep
- int-abs/lels-04
- int-abs/numleledel-01
- int-abs/succ-02
- 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-abs/numle-02
- nat-basic2/c
- nat-basic2/a
- intnat/n2i-add
- list/bytelist/len-02
- list/bytelist/len
- list/bytelist/c
- list-data/bytelist/size-01
- int-basic2/ax-04
- int-basic2/add-a
- int-basic2/add-c
- list/bytelist/Nil
- list/bytelist/a
- int-abs/forward-le-01