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Theorem hasKeys-all

⊦ hasKeys(r, sks, st) ↔ (∀ sk. sk ∈ sks → r -- sk ∈ st)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: onlymod-is-update, validFields-putfis,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 11
Used lemmas: hasKeys-rec, hasKeys-empty,
Used spec theorems:
- Used simplifier rules:
  - storefuns/instore-01
  - list/storekeys/in-17
  - list/storekeys/in-append
  - list/storekeys/a
  - list/storekeys/c
  - list/storekeys/in-empty