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Theorem isarray-putbar

⊦ okbytearray(r1, st) ∧ is_array(r, putByteArray(bytes, r1, i, st)) → is_array(r, st)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: is_array-putbar, is_array-putbar-01,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 10
Proof steps: 27
Used lemmas: isarray-put-01, oktype-byte, okreftype, okarrayNotNull, okarray-05, okbytearray-01, isarray-null, is-any-array,
Used spec theorems:
- storearrays/putBar-rec
Used simplifier rules:
- int-abs/lels-03
- int-abs/forward-le-05
- 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
- javatype/test-09
- javatype/sel-01
- int-abs/forward-le-01
- storefuns/instore-01
- int-abs/lels
- int-abs/lels-01
- typefuns/bytearray
- javavalue/sel-09
- javavalue/test-19
- list/bytelist/c-08
- list/bytelist/c-07
- list/bytelist/e-01
- list/bytelist/app-02-ant
- list/bytelist/e
- list/bytelist/a
- list/bytelist/c
- storearrays/putBar-empty