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Theorem at-put-last-other

⊦ (r0 ≠ st[r -- sks] .refval ∨ sk ≠ sk0) ∧ sks ≠ [] → (st[r -- (sks + sk '), val][r0 -- sk0]) = st[r0 -- sk0]

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 8
Used lemmas: lookup-rec-01, lookup-one, put-one, put-rec-01, at-put-keys-01,
Used spec theorems:
- Used simplifier rules:
  - javastore/look-ins
  - list/storekeys/app
  - list/storekeys/Nil
  - list/storekeys/e-02
  - list/storekeys/app-02-ant
  - list/storekeys/e
  - list/storekeys/e-01
  - list/storekeys/c
  - list/storekeys/a