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Theorem lookup-put-rkvs-notin

⊦ ¬ rk ∈ rkvs → (st[rkvs][rk]) = st[rk]

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 6
Used lemmas: put-rkvs-one-01, put-rkvs-append, put-refkeyvalues-empty,
Used spec theorems:
- Used simplifier rules:
  - store/javastore/At-other
  - assoclist/refkeyvalues/inone
  - pair/refkeyvalues/elim
  - assoclist/refkeyvalues/in-append
  - list/refkeyvalues-assoclista/a
  - list/refkeyvalues-assoclista/c