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Theorem add-in-08

⊦ r -- sk ∈ addobj(r, class, fis, st) ↔ ¬ ¬ (sk ∈ fis ∨ sk = _type ∨ r -- sk ∈ st)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: add-dupput, add-putbar-rew, add-type-02, addobj-addclass-sw, addobj-addobj-switch, addobj-delsw, addobj-union, addobj-union-rew, instore-addobj, isobj-addobj-04,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 8
Used lemmas: addobj-rec, addobj-base,
Used spec theorems:
- javastore/instore-02
Used simplifier rules:
- assoclist/fieldinit/inone
- list/fieldinit-assoclista/a
- assoclist/fieldinit/in-append
- list/fieldinit-assoclista/c
- javastore/instore-02
- assoclist/fieldinit/empty
- store/javastore/In-insert
- refkey/inj-01