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Theorem okbytearray-put-byteval-equiv

⊦ i < 0 ∨ ¬ i < st[r -- _length] .intval ∨ 0 ≤ i ∧ i < st[r -- _length] .intval ∧ r -- i ' ∈ st ∧ is_bytevalue(st[r -- i ']) → (okbytearray(r, st[r -- i ', byteval(by)]) ↔ okbytearray(r, st))

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 11
Proof steps: 27
Used lemmas: oktype-byte, okreftype, okarrayNotNull, okarray-05, okbytearray-01, okbytearray-put-byteval-01,
Used spec theorems:
- storearrays/is_arrayref
- store/javastore/At-other
Used simplifier rules:
- refkey/inj-01
- store/javastore/At-same
- javavalue/test-36
- int-abs/lels-03
- store/javastore/In-insert
- refkey/inj
- storekey/inj-04
- int-abs/zero-gels-01
- oelem/intlista/lel
- int-abs/forward-lsle
- int-abs/forward-le-02
- int-abs/zero-gels-04
- store/javastore/notmemlookup
- storefunsx/lookup-xtra
- javavalue/test-45
- int-abs/forward-le-05
- int-abs/forward-lele
- storearrays/isarray-02
- javatype/inj-01
- javavalue/sel-11
- int-abs/lels-04
- javavalue/sel-04
- javavalue/test-92
- javavalue/elim-10
- javavalue/test-25
- javavalue/elim-02
- storefuns/instore-01
- int-abs/forward-le-01
- int-abs/lels-01
- javastore/length-at
- javastore/instore-02
- specialkeys/len
- typefuns/bytearray
- javastore/type-at
- javastore/type
- javavalue/sel-09
- javavalue/test-19
- storefuns/refin
- int-abs/lels