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Proof step 1 from proof log-cons-one (conclusion)

⊦ log-cons(adr ', fs) ↔ adr ∈ fs ∧ node-cons(fs[adr].key, fs[adr])

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, adr '] flags: <all paths>

Additional information

Used simplifier rules: ⊦ adr ∈ adr0 ' ↔ adr = adr0; (s) Used terms: fs, adr '