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Theorem getbytearray-pseq-nojunk-02

⊦ ¬ junkref(`docs2store', r, st) ∧ st[r -- _type] .type = mkarraytype(byte_type) ∧ ps=(r, st, r1, st1) ∧ 0 ≤ i ∧ i < st[r -- _length] .intval ∧ i + i1 ≤ st[r -- _length] .intval ∧ 0 ≤ i1 ∧ r ≠ jvmref → getbytearray(r, i, i1, st) = getbytearray(r1, i, i1, st1)

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: 16
Proof steps: 34
Used lemmas: pseq-def,
Used spec theorems:
- storearrays/getbar-rec
- list/bytelist/c-02
- junkrefs/junkref-def
- junkrefs/junkrefs-one
- okfuns/is-any-array
- okfuns/okarrayNotNull
Used simplifier rules:
- int-abs/abs
- int-abs/sub-ls-01
- int-abs/leone
- int-abs/sub-le-01
- int-abs/abs-09
- int-abs/sub-add-05
- int-abs/forward-lsle
- int-abs/forward-le
- int-abs/abs-16
- intnat/labs
- int-abs/bet
- int-abs/bet-01
- int-basic1/ls-01
- javavalue/diff-08
- okfuns/oktype-byte
- okfuns/okarray-type-03
- javatype/sel-01
- storefuns/instore-01
- okfuns/okarray-05
- int-abs/lels-02
- int-abs/lels-03
- int-abs/lep-01
- javatype/test-09
- javatype/diff-01
- okfuns/isarray-type
- typefuns/bytearray
- okfuns/is_array-bytearray-01
- addfuns/is_valid_ref-array
- list/references/first
- list/references/e
- list/bytelist/a
- list/bytelist/Nil
- list/bytelist/rest
- list/bytelist/first
- list/bytelist/e
- int-abs/zero-gels-04
- int-basic2/ax-04
- int-abs/numsub
- int-abs/lels-01
- int-abs/lels-04
- int-abs/numleledel-01
- int-abs/mone-06
- int-abs/numls-02
- int-abs/succ-01
- int-abs/numle-02
- list/bytelist/c
- int-abs/lels
- int-abs/anti
- oelem/intlista/lel
- storearrays/bar-empty-01
- int-abs/le-add
- int-basic2/add-c
- int-basic2/add-a
- int-basic2/ls-02
- int-abs/elim-sub
- int-abs/forward-le-05
- int-abs/forward-le-01