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Theorem getbytearray-subset

⊦ st ⊆ st0 ∧ is_arrayref(r, i + j, st) ∧ 0 ≤ i → getbytearray(r, i, j, st) = getbytearray(r, i, j, st0)

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: 12
Used lemmas: bar-at, bar-empty, bar-len-02, is_arrayref,
Used spec theorems:
- list-del/bytelist/extension
- intnat/num-i2n-ls-02
- store/javastore/subset-elem-eq
Used simplifier rules:
- int-abs/le-add
- int-basic2/add-a
- int-basic2/add-c
- oelem/intlista/transitivity
- int-abs/forward-lsle
- int-abs/forward-le-02
- int-basic2/ls
- intnat/nat2int-08
- storefunsx/lookup-xtra
- store/javastore/notmemlookup
- int-basic1/ls-01
- int-abs/lels-03
- nat-basic1/z
- intnat/num-n2i-ls-02
- int-abs/forward-le
- int-abs/forward-le-05
- int-abs/lels-02
- intnat/abs-zero
- nat-basic1/f
- intnat/abs-eq
- list-data/bytelist/size-01
- nat-basic1/less-1
- int-abs/forward-le-01
- int-abs/lels
- int-abs/lels-01