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Theorem in-init-01

⊦ r ≠ r0 → (r -- sk ∈ addarray(r0, ty, vals, st) ↔ r -- sk ∈ st)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: add-gft, add-in-other, addarray-addaray, addarray-identity, addarray-length-in, addarray-put-01, addbar-in, class-init, in-init, is_array-init, isarray-addarray-01, isarray-addarray-other, isobj-addarray, isobj-addarray-other, okarray-06, okarray-addarray-other, okclass-init, okreftype-init, putarray-add-same, putarray-addarray-01, putarray-addarray-one, putarray-addarray-override, subset-addarray-01, union-addarray-rew,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: in-init-02, addarrayinit-def,
Used spec theorems:
- Used simplifier rules:
  - javastore/in-01