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Theorem log-cons-variant1-01

⊦ log-cons(log, fs) → ( log-cons(log0, fs0) ↔ (∀ adr. (adr ∈ log → adr ∈ fs ∧ node-cons(fs[adr].key, fs[adr])) → adr ∈ log0 → adr ∈ fs0 ∧ node-cons(fs0[adr].key, fs0[adr])))

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

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Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 3
Used lemmas: log-node-cons, log-adr-in, log-cons,
Used spec theorems:
- Used simplifier rules: