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Theorem ac-refin

⊦ rk ∈ st → rk ∈ addclass(class, fis, st)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: ac-class, ac-in-02, ac-in-03, ac-in-03-02, ac-in-10, ac-in-11, ac-okarray, ac-okarray-01, ac-okclass, ac-okreftype, ac-uninit, addclass-exactarray, addclass-mode-in, addclass-okarray, addclass-union-sw, addclass-validFields, addobj-addclass-sw, isobj-addclass,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 23
Used lemmas: addclass-yes, ac-no2, ac-no1, addclass-base,
Used spec theorems:
- Used simplifier rules:
  - list/fieldinit-assoclista/a
  - storekey/test-05
  - storekey/elim-03
  - storekey/test-02
  - storekey/test
  - pair/fieldinit/sel-02
  - fieldspec/elim
  - pair/fieldinit/elim
  - storekey/test-01
  - list/fieldinit-assoclista/c
  - store/javastore/In-insert