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Proof step 5 from proof log-cons-app (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: <toplevel> name: log-cons seq: ⊦ log-cons(log, fs) ↔ (∀ adr. adr ∈ log → adr ∈ fs ∧ node-cons(fs[adr].key, fs[adr])) subst: [fs, log] → [fs, log1] flags: <all paths>

Additional information

Used terms: fs, log1