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Theorem add-in-07

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

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: add-okarray, add-okarray-05, ao-init-01, ao-init-02, exactarray-addobj, instore-addobj-rec, isobj-addobj, isobj-addobj-03,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas: add-ref, add-in-04,
Used spec theorems:
- Used simplifier rules:
  - store/javastore/in-pair
  - store/javastore/In-store