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Proof step 8 from proof log-cons-app (previous step)

⊦ (∀ adr. adr ∈ log0 ∨ adr ∈ log1 → adr ∈ fs ∧ node-cons(fs[adr].key, fs[adr])) ↔ (∀ adr. adr ∈ log0 → adr ∈ fs ∧ node-cons(fs[adr].key, fs[adr])) ∧ (∀ adr. adr ∈ log1 → adr ∈ fs ∧ node-cons(fs[adr].key, fs[adr]))

User applied rule case distinction

And obtained the following new goals

Rule argument

pos: right 1

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