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Theorem add-nput-02

⊦ ¬ sk ∈ fis → addobj(r, class1, fis + (sk × val) ', st) = (addobj(r, class1, fis, st)[r -- sk, val])

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 8
Used lemmas: addobj-rec-01, addobj-base, add-one,
Used spec theorems:
- store/javastore/rew
Used simplifier rules:
- refkey/inj-01
- refkey/inj
- assoclist/fieldinit/inone
- pair/fieldinit/elim
- assoclist/fieldinit/in-append
- list/fieldinit-assoclista/c
- list/fieldinit-assoclista/Nil
- list/fieldinit-assoclista/a