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Theorem instore-rec-01

⊦ sks ≠ [] → (r -- (sk ' + sks) ∈ st ↔ r -- sk ∈ st ∧ st[r -- sk] .refval -- sks ∈ st)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: in-list-put, in-list-subset, lookup-subset,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 6
Used lemmas: instore-rec, instore-two, instore-one,
Used spec theorems:
- Used simplifier rules:
  - list/storekeys/app
  - list/storekeys/a
  - list/storekeys/e-01
  - list/storekeys/c