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Theorem bar-zero

⊦ getbytearray(r, st) = [] ↔ st[r -- _length] .intval ≤ 0

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: getbytearray-length-zero, getbytearray-put-index-length,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 5
Used lemmas: bar-empty-01, bar-empty, getbar-rec, getByteArray-all,
Used spec theorems:
- Used simplifier rules:
  - int-abs/anti
  - int-abs/forward-le-04
  - int-abs/zero-gels-04
  - list/bytelist/c
  - list/bytelist/app-02-ant
  - list/bytelist/e
  - list/bytelist/a
  - int-abs/lels
  - int-abs/lels-03
  - int-abs/lels-01