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Theorem at-put-same

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

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 10
Used lemmas: at-put-keys-02, lookup-rec-01, put-rec-01, lookup-one, put-one,
Used spec theorems:
- Used simplifier rules:
  - list-last/storekeys/lin-02
  - store/javastore/At-same
  - list/storekeys/app
  - list-dup/storekeys/dups-cons
  - list/storekeys/a
  - list/storekeys/e-01
  - list/storekeys/c