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Theorem lookup-1init

⊦ r ≠ r0 → (addarray(r, ty, vals, st)[r0 -- sk]) = st[r0 -- sk]

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: add-at-01, add-at-other, add-gft, add-okarray, addarray-at-other, addarray-put-01, addbar-get, at-statfield, class-init, getarray-addarray-01, getarray-addarray-other-01, getbar-add, getbar-add-01, in-init, is_array-other-addarray, is_obj-addarray, isarray-addarray-01, isarray-addarray-other, isobj-addarray, isobj-addarray-other, lookup-1init-02, okarray-addarray-other, okarray-init-basic, okclass-init, okreftype-init, 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: 2
Proof steps: 3
Used lemmas: lookup-1init-01, addarrayinit-def,
Used spec theorems:
- Used simplifier rules:
  - javastore/look-ins