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Theorem getba-eq

⊦ (∀ i0. i1 ≤ i0 ∧ i0 < i1 + i → st[r -- i0 '] = st[r1 -- i0 ']) ∧ 0 ≤ i ∧ 0 ≤ i1 → getbytearray(r, i1, i, st) = getbytearray(r1, i1, i, st)

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: 5
Proof steps: 12
Used lemmas: bar-empty, bar-empty-01, getbar-rec,
Used spec theorems:
- Used simplifier rules:
  - int-abs/lels-03
  - int-basic1/forward-pos
  - int-basic2/add-less
  - oelem/intlista/transitivity
  - int-abs/Sub-def
  - int-abs/succ-02
  - int-abs/numleledel-01
  - int-abs/numle-02
  - int-abs/leone
  - int-abs/sub-le-01
  - intnat/abs-pred
  - int-basic1/ls-01
  - list/bytelist/app-01
  - int-abs/lels-02
  - list/bytelist/c-04
  - list/bytelist/a
  - list/bytelist/app
  - int-basic2/add-c
  - int-basic2/add-a
  - int-abs/lep-01
  - oelem/intlista/irreflexivity
  - int-abs/forward-le-05
  - list/bytelist/c
  - int-abs/anti
  - int-abs/forward-le-01
  - int-abs/lels
  - int-abs/lels-01