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Theorem put-last-rec

⊦ sks ≠ [] → st[r -- (sks + sk '), val] = st[st[r -- sks] .refval -- sk, val]

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: at-put-same-02, init-put-field-01, initdone-at-type, initdone-at-type-01, initdone-at-type-02, initdone-at-type-03, initdone-at-type-04, initdone-at-type-05, mode-at-type, mode-at-type-01, mode-at-type-02, mode-at-type-03, mode-at-type-04, mode-at-type-05, mode-put-sks-array, put-last-rec-better, put-list-intro-01, put-sks-fs-array,
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: lookup-rec-01, lookup-one, put-one, put-rec-01,
Used spec theorems:
- Used simplifier rules:
  - list/storekeys/app
  - list/storekeys/Nil
  - list/storekeys/e-02
  - list/storekeys/app-02-ant
  - list/storekeys/e
  - list/storekeys/a
  - list/storekeys/e-01
  - list/storekeys/c