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Theorem replay-safe-rec-variant1

⊦ replay-safe(adr ' + log, fs, ri) → ( replay-safe(adr0 ' + log0, fs0, ri0) ↔ adr ∈ fs ∧ ¬ adr ∈ ri ∧ node-cons(fs[adr].key, fs[adr]) ∧ replay-safe(log, fs, replay-one(adr, fs[adr], ri)) → adr0 ∈ fs0 ∧ ¬ adr0 ∈ ri0 ∧ node-cons(fs0[adr0].key, fs0[adr0]) ∧ replay-safe(log0, fs0, replay-one(adr0, fs0[adr0], ri0)))

Type: A user defined theorem
Validity: The proof is valid.
Features: lss, ss,
Comment: Generated lemma variant 1 for lemma: replay-safe-rec
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 2
Used lemmas: replay-safe-rec,
Used spec theorems:
- Used simplifier rules:
  - list/address-list-set/a