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Theorem add-ref

⊦ r ≠ r0 → (addobj(r, class1, fis, st)[r0 -- sk]) = st[r0 -- sk]

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: add-at, add-class, add-dupput, add-goodfield, add-in-07, add-length, add-mode-01, add-okarray, add-okarray-05, add-okclass-01, add-okreftype, add-okstore, add-out-01, add-putbar-rew, add-type-03, addobj-addclass-sw, addobj-addobj-switch, addobj-at, addobj-at-null, addobj-at-other, addobj-delsw, addobj-getarray, addobj-getarray-01, addobj-getintarray, addobj-isarray, addobj-okarray, addobj-union, addobj-union-rew, del-addobj, endfinallymode-02, endfinallymode-03, exactarray-addobj, instore-addobj-rec, is_array-addobj, is_obj-addobj, is_valid_ref-addobj, isobj-addobj, isobj-addobj-02, stsubset-addobj,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 5
Used lemmas: addobj-rec, addobj-base,
Used spec theorems:
- Used simplifier rules:
  - list/fieldinit-assoclista/a
  - list/fieldinit-assoclista/c
  - javastore/look-ins