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Proof step 2 from proof log-adr-in (previous step)

log-cons(log, fs), adr ∈ log ⊦ adr ∈ fs

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
adr ∈ log, ∀ adr. adr ∈ log → adr ∈ fs ∧ node-cons(fs[adr].key, fs[adr]) ⊦ adr ∈ fs

Rule argument

Additional information

Used simplifier rules: log-cons: ⊦ log-cons(log, fs) ↔ (∀ adr. adr ∈ log → adr ∈ fs ∧ node-cons(fs[adr].key, fs[adr]));