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Theorem at-put-other-02

⊦ ¬ sk ∈ sks ∧ sks ≠ [] → (st[r -- sk, val][r0 -- sks]) = st[r0 -- sks]

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: at-put-first-01, at-put-other-01, at-put-other-03,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 9
Used lemmas: lookup-one, lookup-rec-01,
Used spec theorems:
- Used simplifier rules:
  - javastore/at-other-16
  - list/storekeys/app
  - list/storekeys/in-06
  - list/storekeys/a
  - list/storekeys/e-01
  - list/storekeys/c