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Proof step 1 from proof log-cons-variant1-01 (conclusion)

⊦ 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])))

System applied rule normalize

And obtained the following new goals

Proof step 2:
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]))

Proof step 1 from proof log-cons-variant1-01 (conclusion)

System applied rule normalize

And obtained the following new goals

Rule argument

Additional information