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Theorem putByteArray-put-switch

⊦ 0 ≤ j ∧ 0 ≤ i ∧ j < i → putByteArray(bytes, r, i, st[r -- j ', byteval(by)]) = (putByteArray(bytes, r, i, st)[r -- j ', byteval(by)])

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: putByteArray-append, putByteArray-put-switch-01,
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: putBar-rec, putBar-empty,
Used spec theorems:
- store/javastore/rew
Used simplifier rules:
- refkey/inj
- storekey/inj-04
- oelem/intlista/lel
- store/javastore/insins
- int-abs/mone-05
- int-abs/numle-03
- int-abs/lels-04
- int-basic2/add-c
- int-basic2/add-a
- int-abs/succ-01
- list/bytelist/e-01
- list/bytelist/c-08
- list/bytelist/c-07
- list/bytelist/app-02-ant
- list/bytelist/e
- list/bytelist/a
- int-basic1/ls-01
- int-abs/lels-01
- int-abs/lels
- list/bytelist/c
- int-abs/forward-le-01
- int-abs/forward-le-05