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Theorem update-at

⊦ r ≠ r0 → (update(r0, fis, st)[r -- sk]) = st[r -- sk]

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 6
Used lemmas: update-rec, update-empty,
Used spec theorems:
- Used simplifier rules:
  - javastore/look-ins
  - list/fieldinit-assoclista/a
  - list/fieldinit-assoclista/c