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Theorem ac-lookup-05

⊦ ¬ is_fskey(sk) → (addclass(class, fis, st)[r -- sk]) = st[r -- sk]

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: addobj-addclass-sw,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 25
Used lemmas: ac-lookup-04, addclass-yes, ac-no1, ac-no2, addclass-base,
Used spec theorems:
- Used simplifier rules:
  - list/fieldinit-assoclista/a
  - fieldspec/elim
  - storekey/test-05
  - storekey/elim-03
  - storekey/test-02
  - pair/fieldinit/sel-02
  - storekey/test
  - list/fieldinit-assoclista/c
  - storekey/test-07
  - refkey/inj-01
  - javastore/lookup-if
  - storekey/test-01