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Theorem add-in-04

⊦ r ≠ r0 → (r -- sk ∈ addobj(r0, class1, fis, st) ↔ r -- sk ∈ st)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: add-class, add-dupput, add-goodfield, add-in-07, add-okclass-01, add-okreftype, add-okstore, add-putbar-rew, add-uninit, addobj-addclass-sw, addobj-addobj-switch, addobj-delsw, addobj-isarray, addobj-okarray, addobj-union, addobj-union-rew, ao-init-01, del-addobj, endfinallymode, exactarray-addobj, instore-addobj-rec, isobj-addobj, isobj-addobj-02, mode-addobj, stsubset-addobj,
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: addobj-rec, addobj-base, add-in-02, add-in-03,
Used spec theorems:
- Used simplifier rules:
  - list/fieldinit-assoclista/a
  - list/fieldinit-assoclista/c
  - javastore/in-01
  - storefuns/instore-01