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Theorem hasKeys-put-02

⊦ ¬ sk ∈ sks → (hasKeys(r, sks, st[r -- sk, val]) ↔ hasKeys(r, sks, st))

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: validFields-put-01,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 5
Used lemmas: hasKeys-rec, hasKeys-one, hasKeys-app, hasKeys-empty,
Used spec theorems:
- Used simplifier rules:
  - javastore/instore-02
  - list/storekeys/in-06
  - list/storekeys/a
  - list/storekeys/c