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Theorem addobj-in-02

⊦ r ≠ r0 ∨ ¬ sk ∈ sks ∧ sk ≠ _type → (r -- sk ∈ addobj(r0, class, sks, st) ↔ r -- sk ∈ st)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: addobj-in, addobj-in-01,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 9
Used lemmas: addobj-keysrec, addobj-keysempty,
Used spec theorems:
- store/javastore/In-insert
Used simplifier rules:
- fieldspec/elim
- list/storekeys/a
- list/storekeys/in-06
- list/storekeys/c
- store/javastore/In-insert
- refkey/inj
- refkey/inj-01
- list/storekeys/in-empty