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Theorem ac-in-09

⊦ r ≠ jvmref → (r ∈ addclass(class1, fis, st) ↔ r ∈ st)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: ac-in-03-02, ac-in-08, ac-reftype, addclass-exactarray, addclass-validFields,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 6
Proof steps: 29
Used lemmas: addclass-yes, ac-no1, ac-no2, addclass-base,
Used spec theorems:
- Used simplifier rules:
  - list/fieldinit-assoclista/a
  - fieldspec/elim
  - storekey/test-07
  - storekey/test-05
  - storekey/elim-03
  - storekey/test-01
  - pair/fieldinit/sel-02
  - pair/fieldinit/elim
  - storekey/test
  - list/fieldinit-assoclista/c
  - storefuns/instore-02