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Theorem lookup-put-keys

⊦ sk ≠ sk0 ∧ sks0 ≠ [] → (st[r -- (sks + sk '), val][r0 -- (sk0 ' + sks0)]) = (st[r -- (sks + sk '), val][st[r0 -- sk0] .refval -- sks0])

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: lookup-put-keys-01, lookup-put-keys-02,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: at-put-keys-01, lookup-rec-01,
Used spec theorems:
- Used simplifier rules:
  - list/storekeys/a